A sequence of positive solutions for sixth-order ordinary nonlinear differential problems

Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.

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Published inElectronic journal of qualitative theory of differential equations Vol. 2021; no. 20; pp. 1 - 17
Main Authors Bonanno, Gabriele, Livrea, Roberto
Format Journal Article
LanguageEnglish
Published University of Szeged 01.01.2021
Subjects
critical points
infinitely many solutions
sixth-order equations
Online AccessGet full text
ISSN1417-3875
1417-3875
DOI10.14232/ejqtde.2021.1.20

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Abstract Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.
AbstractList Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.
Author Bonanno, Gabriele
Livrea, Roberto
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crossref_primary_10_1007_s41808_023_00217_9
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crossref_primary_10_14232_ejqtde_2024_1_57
crossref_primary_10_1002_mma_10492
crossref_primary_10_3390_math9161852
Cites_doi 10.14232/ejqtde.2009.4.29
10.1016/j.na.2008.12.047
10.1017/S0017089511000590
10.1103/PhysRevB.34.4940
10.1016/0022-247X(90)90312-4
10.1155/2010/878131
10.1186/1687-2770-2012-22
10.1512/iumj.1990.39.39054
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10.1007/s00030-011-0099-0
10.1016/j.jmaa.2005.08.007
10.1016/S0022-247X(02)00153-1
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10.1016/j.na.2011.12.003
10.1017/S0308210506001041
10.3934/cpaa.2010.9.563
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Snippet Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on...
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SubjectTerms critical points
infinitely many solutions
sixth-order equations
Title A sequence of positive solutions for sixth-order ordinary nonlinear differential problems
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Volume 2021
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