On a Problem for a Parabolic-Hyperbolic Equation with a Nonlinear Loaded Part
The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing condition are proved. Keywords and phrases: fractional derivative, loaded equation, differential equation, integral equation. AMS Subject Classific...
Saved in:
| Published in | Journal of mathematical sciences (New York, N.Y.) Vol. 275; no. 5; pp. 644 - 652 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Cham
Springer International Publishing
01.10.2023
Springer Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1072-3374 1573-8795 1573-8795 |
| DOI | 10.1007/s10958-023-06704-7 |
Cover
| Abstract | The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing condition are proved. Keywords and phrases: fractional derivative, loaded equation, differential equation, integral equation. AMS Subject Classification: 34K37 |
|---|---|
| AbstractList | The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing condition are proved. The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing condition are proved. Keywords and phrases: fractional derivative, loaded equation, differential equation, integral equation. AMS Subject Classification: 34K37 |
| Audience | Academic |
| Author | Abdullaev, O. Kh |
| Author_xml | – sequence: 1 givenname: O. Kh surname: Abdullaev fullname: Abdullaev, O. Kh email: obidjon.mth@gmail.com organization: Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan |
| BookMark | eNqNkctqGzEUQEVIIM8fyGqgqy6U6jEjzSxDSJOA25Q-1uKOfOUqjCVHmiH131eOA8FgStFCD84R4uiUHIYYkJBLzq44Y_pT5qxrWsqEpExpVlN9QE54oyVtddccljXTgkqp62NymvMTK5Jq5Qn58hgqqL6l2A-4rFxMmx0k6OPgLb1frzC9Lqvb5wlGH0P14sffBfoaw-ADQqpmEeY431jjOTlyMGS8eJvPyK_Ptz9v7uns8e7h5npGrVStplxI5J3telcL5RxT_byxUGtQbc1VowVjjvHe1kr2HUN01mpXA7LeKdUokGdEbu-dwgrWLzAMZpX8EtLacGY2Rcy2iClFzGsRo4v1YWutUnyeMI_mKU4plIcaUTJppTlv36kFDGh8cHFMYJc-W3OttWiUkHxzF91DLTBggqH8jfPleIe_2sOXMcelt3uFjztCYUb8My5gytk8_Pi-y4ota1PMOaH7vxpvDXOBwwLTe41_WH8Bzoy5Eg |
| Cites_doi | 10.1016/j.na.2011.12.033 10.1007/s11253-019-01682-z 10.1023/A:1026194020442 10.18576/pfda/060203 10.1186/s13662-016-0969-1 10.3103/S1066369X13070062 10.3103/S1066369X15060055 10.4213/im2429 |
| ContentType | Journal Article |
| Copyright | Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. COPYRIGHT 2023 Springer |
| Copyright_xml | – notice: Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. – notice: COPYRIGHT 2023 Springer |
| DBID | AAYXX CITATION ISR ADTOC UNPAY |
| DOI | 10.1007/s10958-023-06704-7 |
| DatabaseName | CrossRef Gale In Context: Science Unpaywall for CDI: Periodical Content Unpaywall |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1573-8795 |
| EndPage | 652 |
| ExternalDocumentID | 10.1007/s10958-023-06704-7 A772562317 10_1007_s10958_023_06704_7 |
| GroupedDBID | -52 -5D -5G -BR -EM -Y2 -~C -~X .86 .VR 06D 0R~ 0VY 1N0 1SB 2.D 29L 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 642 67Z 6NX 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDBF ABDZT ABECU ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACUHS ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFFNX AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AZFZN B-. B0M BA0 BAPOH BBWZM BDATZ BGNMA BSONS CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP EAD EAP EAS EBLON EBS EIOEI EJD EMK EPL ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HF~ HG6 HMJXF HQYDN HRMNR HVGLF HZ~ IAO IEA IHE IJ- IKXTQ IOF ISR ITC IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C JBSCW JCJTX JZLTJ KDC KOV KOW LAK LLZTM M4Y MA- N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P9R PF0 PT4 PT5 QOK QOS R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 XU3 YLTOR Z7R Z7U Z7X Z7Z Z81 Z83 Z86 Z88 Z8M Z8R Z8T Z8W Z92 ZMTXR ZWQNP ~8M ~A9 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION AEIIB ADTOC UNPAY |
| ID | FETCH-LOGICAL-c3687-123e19c9bf426ff06bd5ca47a6841657200f01bc463b90eefcc7f4ae0bf6656a3 |
| IEDL.DBID | UNPAY |
| ISSN | 1072-3374 1573-8795 |
| IngestDate | Tue Aug 19 20:38:59 EDT 2025 Wed Sep 17 23:57:41 EDT 2025 Mon Oct 20 22:48:50 EDT 2025 Fri Jun 13 00:12:56 EDT 2025 Mon Oct 20 16:58:06 EDT 2025 Thu Oct 16 15:53:29 EDT 2025 Wed Oct 01 02:23:49 EDT 2025 Fri Feb 21 02:43:10 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | fractional derivative 34K37 differential equation integral equation loaded equation |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c3687-123e19c9bf426ff06bd5ca47a6841657200f01bc463b90eefcc7f4ae0bf6656a3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=https://link.springer.com/content/pdf/10.1007/s10958-023-06704-7.pdf |
| PQID | 2879767118 |
| PQPubID | 2043545 |
| PageCount | 9 |
| ParticipantIDs | unpaywall_primary_10_1007_s10958_023_06704_7 proquest_journals_2879767118 gale_infotracmisc_A772562317 gale_infotracgeneralonefile_A772562317 gale_infotracacademiconefile_A772562317 gale_incontextgauss_ISR_A772562317 crossref_primary_10_1007_s10958_023_06704_7 springer_journals_10_1007_s10958_023_06704_7 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20231000 |
| PublicationDateYYYYMMDD | 2023-10-01 |
| PublicationDate_xml | – month: 10 year: 2023 text: 20231000 |
| PublicationDecade | 2020 |
| PublicationPlace | Cham |
| PublicationPlace_xml | – name: Cham – name: New York |
| PublicationTitle | Journal of mathematical sciences (New York, N.Y.) |
| PublicationTitleAbbrev | J Math Sci |
| PublicationYear | 2023 |
| Publisher | Springer International Publishing Springer Springer Nature B.V |
| Publisher_xml | – name: Springer International Publishing – name: Springer – name: Springer Nature B.V |
| References | Kilbas, Repin (CR10) 2010; 13 Abdullaev (CR1) 2019; 71 Kilbas, Srivastava, Trujillo (CR11) 2006 Nakhushev (CR14) 1983; 19 CR4 Pskhu (CR18) 2005 Kilbas, Repin (CR9) 2003; 39 CR8 CR17 Kiryakova (CR12) 1994 CR23 CR22 CR21 Kaziev (CR7) 1981; 17 Eleev (CR5) 1994; 30 Nakhushev (CR16) 2012 Abdullaev (CR2) 2020; 6 Berdyshev, Cabada, Karimov (CR3) 2012; 75 Ramazanov (CR20) 2002; 2 Pskhu (CR19) 2009; 73 Lanin (CR13) 1981; 17 Nakhushev (CR15) 2003 Islomov, Baltaeva (CR6) 2015; 2015 AA Kilbas (6704_CR11) 2006 MI Ramazanov (6704_CR20) 2002; 2 6704_CR8 6704_CR4 VA Eleev (6704_CR5) 1994; 30 AV Pskhu (6704_CR19) 2009; 73 AS Berdyshev (6704_CR3) 2012; 75 AM Nakhushev (6704_CR14) 1983; 19 AV Pskhu (6704_CR18) 2005 V Kiryakova (6704_CR12) 1994 B Islomov (6704_CR6) 2015; 2015 VM Kaziev (6704_CR7) 1981; 17 AA Kilbas (6704_CR10) 2010; 13 6704_CR22 OKh Abdullaev (6704_CR1) 2019; 71 6704_CR21 OKh Abdullaev (6704_CR2) 2020; 6 AM Nakhushev (6704_CR16) 2012 6704_CR23 6704_CR17 AA Kilbas (6704_CR9) 2003; 39 IN Lanin (6704_CR13) 1981; 17 AM Nakhushev (6704_CR15) 2003 |
| References_xml | – ident: CR21 – ident: CR22 – year: 2003 ident: CR15 publication-title: Fractional Calculus and Its Applications – volume: 13 start-page: 69 issue: 1 year: 2010 end-page: 84 ident: CR10 article-title: An analog of the Tricomi problem for a mixed type equation with a partial fractional derivative publication-title: Fract. Calc. Appl. Anal. – volume: 75 start-page: 3268 issue: 6 year: 2012 end-page: 3273 ident: CR3 article-title: On a nonlocal boundary problem for a parabolichyperbolic equation involving a Riemann-Liouville fractional differential operator publication-title: Nonlin. Anal. Theory Meth. Appl. doi: 10.1016/j.na.2011.12.033 – volume: 71 start-page: 723 issue: 6 year: 2019 end-page: 738 ident: CR1 article-title: About a problem for the degenerate mixed type equation involving Caputo and Erdélyi-Kober operators of fractional order publication-title: Ukr. Mat. Zh. doi: 10.1007/s11253-019-01682-z – ident: CR4 – volume: 17 start-page: 313 issue: 2 year: 1981 end-page: 319 ident: CR7 article-title: Goursat’s problem for one loaded integro-differential equation publication-title: Differ. Uravn. – ident: CR17 – year: 2012 ident: CR16 publication-title: Loaded Equations and Their Applications – volume: 2015 start-page: 1 issue: 221 year: 2015 end-page: 10 ident: CR6 article-title: Boudanry-value problems for a third-order loaded parabolichyperbolic type equation with variable coefficients publication-title: Electr. J. Differ. Equations – volume: 39 start-page: 674 issue: 5 year: 2003 end-page: 680 ident: CR9 article-title: An analog of the Bitsadze-Samarskii problem for a mixed type equation with a fractional derivative publication-title: Differ. Equations doi: 10.1023/A:1026194020442 – volume: 2 start-page: 75 issue: 4 year: 2002 end-page: 81 ident: CR20 article-title: On the nonlocal problem for a loaded hyperbolic-elliptic equation in a rectangular domain publication-title: Mat. Zh. Almaty – volume: 19 start-page: 86 issue: 1 year: 1983 end-page: 94 ident: CR14 article-title: Loaded equations and their applications publication-title: Differ. Uravn. – volume: 30 start-page: 230 issue: 2 year: 1994 end-page: 236 ident: CR5 article-title: On some boundary-value problems for second- and third-order mixed loaded equations publication-title: Differ. Uravn. – volume: 73 start-page: 141 issue: 2 year: 2009 end-page: 182 ident: CR19 article-title: Fundamental solution of a fractional diffusion-wave equation publication-title: Izv. Ross. Akad. Nauk. Ser. Mat. – ident: CR8 – year: 1994 ident: CR12 publication-title: Generalized Fractional Calculus and Applications – year: 2005 ident: CR18 publication-title: Fractional Partial Differential Equations – volume: 17 start-page: 97 issue: 1 year: 1981 end-page: 106 ident: CR13 article-title: Boundary-value problem for a third-order loaded hyperbolic-parabolic equation publication-title: Differ. Uravn. – volume: 6 start-page: 101 issue: 2 year: 2020 end-page: 114 ident: CR2 article-title: Some problems for the degenerate mixed type equation involving Caputo and Atangana-Baleanu operators of fractional order publication-title: Progr. Fract. Differ. Appl. doi: 10.18576/pfda/060203 – year: 2006 ident: CR11 publication-title: Theory and Applications of Fractional Differential Equations – ident: CR23 – volume: 75 start-page: 3268 issue: 6 year: 2012 ident: 6704_CR3 publication-title: Nonlin. Anal. Theory Meth. Appl. doi: 10.1016/j.na.2011.12.033 – ident: 6704_CR4 – ident: 6704_CR23 doi: 10.1186/s13662-016-0969-1 – volume-title: Theory and Applications of Fractional Differential Equations year: 2006 ident: 6704_CR11 – volume: 2 start-page: 75 issue: 4 year: 2002 ident: 6704_CR20 publication-title: Mat. Zh. Almaty – volume-title: Fractional Calculus and Its Applications year: 2003 ident: 6704_CR15 – volume: 71 start-page: 723 issue: 6 year: 2019 ident: 6704_CR1 publication-title: Ukr. Mat. Zh. doi: 10.1007/s11253-019-01682-z – volume: 6 start-page: 101 issue: 2 year: 2020 ident: 6704_CR2 publication-title: Progr. Fract. Differ. Appl. doi: 10.18576/pfda/060203 – ident: 6704_CR22 doi: 10.3103/S1066369X13070062 – volume: 17 start-page: 313 issue: 2 year: 1981 ident: 6704_CR7 publication-title: Differ. Uravn. – volume-title: Generalized Fractional Calculus and Applications year: 1994 ident: 6704_CR12 – ident: 6704_CR17 – ident: 6704_CR21 doi: 10.3103/S1066369X15060055 – volume-title: Loaded Equations and Their Applications year: 2012 ident: 6704_CR16 – volume: 19 start-page: 86 issue: 1 year: 1983 ident: 6704_CR14 publication-title: Differ. Uravn. – volume: 2015 start-page: 1 issue: 221 year: 2015 ident: 6704_CR6 publication-title: Electr. J. Differ. Equations – volume: 39 start-page: 674 issue: 5 year: 2003 ident: 6704_CR9 publication-title: Differ. Equations doi: 10.1023/A:1026194020442 – volume-title: Fractional Partial Differential Equations year: 2005 ident: 6704_CR18 – volume: 13 start-page: 69 issue: 1 year: 2010 ident: 6704_CR10 publication-title: Fract. Calc. Appl. Anal. – volume: 17 start-page: 97 issue: 1 year: 1981 ident: 6704_CR13 publication-title: Differ. Uravn. – volume: 73 start-page: 141 issue: 2 year: 2009 ident: 6704_CR19 publication-title: Izv. Ross. Akad. Nauk. Ser. Mat. doi: 10.4213/im2429 – ident: 6704_CR8 – volume: 30 start-page: 230 issue: 2 year: 1994 ident: 6704_CR5 publication-title: Differ. Uravn. |
| SSID | ssj0007683 |
| Score | 2.2955632 |
| Snippet | The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing... |
| SourceID | unpaywall proquest gale crossref springer |
| SourceType | Open Access Repository Aggregation Database Index Database Publisher |
| StartPage | 644 |
| SubjectTerms | Boundary value problems Differential equations Existence theorems Mathematics Mathematics and Statistics Uniqueness theorems |
| SummonAdditionalLinks | – databaseName: SpringerLink Journals (ICM) dbid: U2A link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3dS8MwEA9-POgexE-cXxQRfXCBdk2b9nHIZIpfqIO9hWuaDGF0s90Q_3sva7utIqJvLbmG9i7J_dK7-4WQM67Q7StP09jWjDL0mTSIIaRNFarA000ThTTZFg9-p8tue16vKArLymz3MiQ5XakXit1CL6DoY6ipLWGUL5NVz9B54SjuNluz9RcBdJ5Wz5vUdTkrSmV-7qPijr4vygvR0RpZmyQj-PyAwWDBAV1vko0COVqt3NRbZEkl26R2P6NdzXbI_WNigfWUnxFjIRw1d5CinQdvknZwy5lOL632e87wbZnfsCj0kBNmQGrdDSFWsXlqvEu61-3Xqw4tzkug0vVxrUAnpJxQhpFGt6u17UexJ4Fx8E1s0eM4IbTtRJL5bhTaSmkpuWag7Ej7COvA3SMryTBR-8QKABTwiHE3jA1HfeBKRzLt6EiCF4SsTi5LtYlRTosh5gTIRskClSymSha8Tk6NZoXhm0hMQksfJlkmbl6eRQvRvYFgDgpdFEJ6OE5BQlEfgC9kKKoqkucVyX5O0P2T4FFFEGeOrDaXlhbFzM0E7iARoXHcd9VJo7T-vPm3j2zMRsgfdHLwv94Pybo56D5PIzwiK-N0oo4RDo2jk-no_wIh0Pwa priority: 102 providerName: Springer Nature |
| Title | On a Problem for a Parabolic-Hyperbolic Equation with a Nonlinear Loaded Part |
| URI | https://link.springer.com/article/10.1007/s10958-023-06704-7 https://www.proquest.com/docview/2879767118 https://link.springer.com/content/pdf/10.1007/s10958-023-06704-7.pdf |
| UnpaywallVersion | publishedVersion |
| Volume | 275 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVEBS databaseName: Academic Search Ultimate - eBooks customDbUrl: https://search.ebscohost.com/login.aspx?authtype=ip,shib&custid=s3936755&profile=ehost&defaultdb=asn eissn: 1573-8795 dateEnd: 20241101 omitProxy: true ssIdentifier: ssj0007683 issn: 1072-3374 databaseCode: ABDBF dateStart: 20030401 isFulltext: true titleUrlDefault: https://search.ebscohost.com/direct.asp?db=asn providerName: EBSCOhost – providerCode: PRVEBS databaseName: Mathematics Source customDbUrl: eissn: 1573-8795 dateEnd: 20241101 omitProxy: false ssIdentifier: ssj0007683 issn: 1072-3374 databaseCode: AMVHM dateStart: 19970101 isFulltext: true titleUrlDefault: https://www.ebsco.com/products/research-databases/mathematics-source providerName: EBSCOhost – providerCode: PRVLSH databaseName: SpringerLink Journals customDbUrl: mediaType: online eissn: 1573-8795 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0007683 issn: 1072-3374 databaseCode: AFBBN dateStart: 19730101 isFulltext: true providerName: Library Specific Holdings – providerCode: PRVAVX databaseName: SpringerLINK - Czech Republic Consortium customDbUrl: eissn: 1573-8795 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0007683 issn: 1072-3374 databaseCode: AGYKE dateStart: 19970101 isFulltext: true titleUrlDefault: http://link.springer.com providerName: Springer Nature – providerCode: PRVAVX databaseName: SpringerLink Journals (ICM) customDbUrl: eissn: 1573-8795 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0007683 issn: 1072-3374 databaseCode: U2A dateStart: 19970101 isFulltext: true titleUrlDefault: http://www.springerlink.com/journals/ providerName: Springer Nature |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3db9MwED9t7QPsAcbHtI5RRQjBA3OXDydOHjPWUj5WJqDS9mQ5jj1Nq9KSpkLw13POx9ZMEwLxlET-JYovZ99dfPczwEum0OwrX5PU1pRQtJkkTEVEXBWp0NeuWYU02RaTYDylH878sw04bmphymz3ZkmyqmkwLE1ZcbhI9eFa4VvkhwTtDTF1JpSwATZvQjfw0SPvQHc6OY3Pq3RDl3heScbs-MwjZm_tunbm7ge17NPtWXptuXQL7q2yhfj5Q8xmaxZp9BBU05cqEeVqsCqSgfx1i-bxfzu7DQ9ql9WKKx17BBsqewxbJ9d8r8sncPI5s4R1Wm1OY6EfbK5Ejgo2u5RkjLFuXp5aw-8Vtbhl_v8iaFIxdYjc-jQXqUrNXcVTmI6G396OSb1RA5FegJMUWj_lRDJKNNp7re0gSX0pKBOBWdT0GY5EbTuJpIGXRLZSWkqmqVB2ogP0J4W3A51snqldsEIhlGAJZV6UGnL80JOOpNrRiRR-GNEevGk-D19UfBz8hnnZCIqjoHgpKM568MJ8QW6ILjKTSXMhVsslf__1C48xrDC-n4Og1zVIz4tcSFEXJuALGW6sFvJVC3lRMYPfBdxvAXHIynZzo1G8njKWHENXdA0ZBnw9OGiU4qb5T508uNbEv5DJ3r_Bn8F916hemb-4D50iX6nn6IcVSR-68ejoaGKO784_DvuwOXXjfj34fgNDQCig |
| linkProvider | Unpaywall |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3db9MwED9B9zD2wPdEYUCEEDwwT_lw4uSxQh0dawuCVRpP1sWxJ7Qq3ZJUCP56zk3SNdOE2FsiXyz7fL6P-O5ngLdCk9nXoWGZazjjZDNZnGHCfJ3oODS-PYW02RbTaDTjn0_D06YorGyz3dsjyZWm3ih2S8KYkY1htraEM3EXtjgFKH4PtgaffhwP1xqYXOg6sV74LAgEb4plbu6lY5Cuq-WN89Ed2F7mF_j7F87nGybo8AHM2sHXmSfnB8sqPVB_ruE63nZ2D-F-45M6g1qIHsEdnT-Gncka0LV8ApMvuYPO1_r2GYccXfuGBUnQ_KdiIwpmi9WjM7ysscMd-4OXiKY1FAcWzniBmc7sV9VTmB0OTz6OWHMTA1NBRFqIzJv2EpWkhgy6MW6UZqFCLjCyp5ahoK1mXC9VPArSxNXaKCUMR-2mJiKHEYNd6OWLXD8DJ0bUKFIugiSz6PdxoDzFjWdShWGc8D58aJdDXtSAG_IKWtkySRKT5IpJUvThjV0xaZEscpsqc4bLspRH37_JAcUN1rnziOh9Q2QWVYEKm8oDGpAFv-pQvutQntXQ3zcR7nUIaU-qbnMrQbLRCaWk2JR8P0ERXR_2WyG4av7XJPfXkvcfPHl-u95fw_boZDKW46Pp8Qu451sRXCUr7kGvKpb6JTldVfqq2WN_Aa4hHBE |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3db9MwED_BkIA9IL4mOgZECMEDs5YPJ04eK1jVwVYmoNLerItjT0hVWtJUE_89d0naNWhC8JbIFyu5s30_5-5-BnijLLl9GztR-E4KST5TpAVmIrSZTWMXchSSsy0myXgqP13EF1tV_E22-zok2dY0MEtTWR8tCne0VfiWxakgfyO4zkQKdRvuSCZKoBE9DYebtZjAdJtir0IRRUp2ZTM399FzTX8u0FuR0l24tyoX-OsKZ7MtZzR6CA86FOkNW7M_glu2fAy7ZxsK1uUTOPtSeuidt-fFeARN-Q4rsvnshxFj2n5WzaV3_LNl-_b4lywJTVryDKy80zkWtuCn6qcwHR1__zAW3dkJwkQJrRvkkGyQmSx35IKd85O8iA1KhQnHGWNFk8P5QW5kEuWZb60zRjmJ1s9dQhAPoz3YKeelfQZeimhR5VJFWcF89WlkAiNd4HKDcZrJAbxfq00vWooMfU2GzErWpGTdKFmrAbxmzWrmnig5ueUSV8ulPvn2VQ8J6TMcC0joXSfk5nWFBrtaAXohpqvqSb7tSV62ZN03CR70BGkWmX7z2tK6m8VLTbtJQmuK9mADOFxb_7r5bx95uBkh_6CT_f_r_RXcPf840qcnk8_P4X7II7jJLjyAnbpa2ReEkur8ZTMRfgPrrwNR |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3fb9MwED6N7gH2sPFTdAwUIQQPzF3S2HHyWI1NBbEyAZXGk2U79oSo0i5NNcFfzzlOtmaaEIi3RP4Sxeez7y6--wzwihs0-4ZZkoeWEoo2k6S5zMjQZCZlduh2IV22xSQZT-mHM3a2Ae_aWpg6273dkvQ1DY6lqagOFrk9WCt8y1hK0N4QV2dCCR9g8x3YTBh65D3YnE5OR998uuGQxHFNxhwxHhN3tnZTO3P7izr26eYqvbZdugV3V8VC_ryUs9maRTreAdP2xSei_BisKjXQv27QPP5vZ-_DduOyBiOvYw9gwxQPYevkiu91-QhOPhWBDE794TQB-sHuTpaoYLPvmowx1i3ry-DowlOLB-7_L4ImnqlDlsHHucxN7p6qHsP0-Ojr4Zg0BzUQHSe4SKH1M1GmM2XR3lsbJipnWlIuE7epyTjORBtGStMkVllojNWaWypNqGyC_qSMn0CvmBfmKQSplEZyRXmc5Y4cP411pKmNrNKSpRntw9t2eMTC83GIa-ZlJyiBghK1oATvw0s3gsIRXRQuk-ZcrpZL8f7LZzHCsML5fhGC3jQgO69KqWVTmIAf5LixOsjXHeS5Zwa_DbjXAeKU1d3mVqNEs2QsBYau6BpyDPj6sN8qxXXznzq5f6WJfyGT3X-DP4N7Q6d6df7iHvSqcmWeox9WqRfNNPsN9wYkpw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=ON+A+PROBLEM+FOR+A+PARABOLIC-HYPERBOLIC+EQUATION+WITH+A+NONLINEAR+LOADED+PART&rft.jtitle=Journal+of+mathematical+sciences+%28New+York%2C+N.Y.%29&rft.au=Abdullaev%2C+O.+Kh&rft.date=2023-10-01&rft.pub=Springer&rft.issn=1072-3374&rft.volume=275&rft.issue=5&rft.spage=644&rft_id=info:doi/10.1007%2Fs10958-023-06704-7&rft.externalDocID=A772562317 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1072-3374&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1072-3374&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1072-3374&client=summon |