Spectrum Curves for Sturm-Liouville Problem with Integral Boundary Condition
We consider Sturm-Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ 1 , ξ 2 ([ξ 1 , ξ 2 ] is a domain of integration). The distribution of zeroes, poles, and constant eigenvalue points of Complex Characteristic...
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          | Published in | Mathematical modelling and analysis Vol. 20; no. 6; pp. 802 - 818 | 
|---|---|
| Main Authors | , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
            Taylor & Francis
    
        02.11.2015
     Vilnius Gediminas Technical University  | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 1392-6292 1648-3510 1648-3510  | 
| DOI | 10.3846/13926292.2015.1116470 | 
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| Abstract | We consider Sturm-Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ
1
, ξ
2
([ξ
1
, ξ
2
] is a domain of integration). The distribution of zeroes, poles, and constant eigenvalue points of Complex Characteristic Function is presented. We investigate how Spectrum Curves depend on the parameters of nonlocal boundary conditions. In this paper we describe the behaviour of Spectrum Curves and classify critical points of Complex-Real Characteristic function. Phase Trajectories of critical points in Phase Space of the parameters ξ
1
, ξ
2
are investigated. We present the results of modelling and computational analysis and illustrate those results with graphs. | 
    
|---|---|
| AbstractList | We consider Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ1, ξ2 ([ξ1, ξ2] is a domain of integration). The distribution of zeroes, poles, and constant eigenvalue points of Complex Characteristic Function is presented. We investigate how Spectrum Curves depend on the parameters of nonlocal boundary conditions. In this paper we describe the behaviour of Spectrum Curves and classify critical points of Complex-Real Characteristic function. Phase Trajectories of critical points in Phase Space of the parameters ξ1, ξ2 are investigated. We present the results of modelling and computational analysis and illustrate those results with graphs. We consider Sturm-Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ 1 , ξ 2 ([ξ 1 , ξ 2 ] is a domain of integration). The distribution of zeroes, poles, and constant eigenvalue points of Complex Characteristic Function is presented. We investigate how Spectrum Curves depend on the parameters of nonlocal boundary conditions. In this paper we describe the behaviour of Spectrum Curves and classify critical points of Complex-Real Characteristic function. Phase Trajectories of critical points in Phase Space of the parameters ξ 1 , ξ 2 are investigated. We present the results of modelling and computational analysis and illustrate those results with graphs. We consider Sturm-Liouville problem with one integral type nonlocal boundary condition depending on three parameters [gamma] (multiplier in nonlocal condition), [[xi].sub.1], [[xi].sub.2] ([[[xi].sub.1], [[xi].sub.2]] is a domain of integration). The distribution of zeroes, poles, and constant eigenvalue points of Complex Characteristic Function is presented. We investigate how Spectrum Curves depend on the parameters of nonlocal boundary conditions. In this paper we describe the behaviour of Spectrum Curves and classify critical points of Complex-Real Characteristic function. Phase Trajectories of critical points in Phase Space of the parameters [[xi].sub.1], [[xi].sub.2] are investigated. We present the results of modelling and computational analysis and illustrate those results with graphs.Keywords: Sturm--Liouville problem, characteristic function, spectrum curves, critical point, integral boundary condition.AMS Subject Classification: 34[B.sub.2]4, 34[B.sub.0]9, 34[B.sub.1]5.  | 
    
| Audience | Academic | 
    
| Author | Štikonas, Artūras Skučaitė, Agnė  | 
    
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| Snippet | We consider Sturm-Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ
1... We consider Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ1,... We consider Sturm-Liouville problem with one integral type nonlocal boundary condition depending on three parameters [gamma] (multiplier in nonlocal...  | 
    
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| SubjectTerms | Boundary value problems characteristic function critical point Curves (Geometry) integral boundary condition Mathematical research spectrum curves Sturm-Liouville problem  | 
    
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| Title | Spectrum Curves for Sturm-Liouville Problem with Integral Boundary Condition | 
    
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