Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions

Betty Jean Harmsen; Aihua Li

doi:10.1080/10236190701264966

Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions

Betty Jean Harmsen, Aihua Li

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

This paper deals with discrete second order Sturm-Liouville problems where the parameter that is part of the Sturm-Liouville difference equation appears nonlinearly in the boundary conditions. The operator is extended to a self-adjoint operator and an expansion theorem is proved.

Original language	English
Pages (from-to)	639-653
Number of pages	15
Journal	Journal of Difference Equations and Applications
Volume	13
Issue number	7
DOIs	https://doi.org/10.1080/10236190701264966
State	Published - Jul 2007

Keywords

Boundary value problem
Difference equation
Discrete Sturm-Liouville problem
Parameter in the boundary conditions

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10.1080/10236190701264966

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title = "Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions",

abstract = "This paper deals with discrete second order Sturm-Liouville problems where the parameter that is part of the Sturm-Liouville difference equation appears nonlinearly in the boundary conditions. The operator is extended to a self-adjoint operator and an expansion theorem is proved.",

keywords = "Boundary value problem, Difference equation, Discrete Sturm-Liouville problem, Parameter in the boundary conditions",

author = "Harmsen, \{Betty Jean\} and Aihua Li",

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AB - This paper deals with discrete second order Sturm-Liouville problems where the parameter that is part of the Sturm-Liouville difference equation appears nonlinearly in the boundary conditions. The operator is extended to a self-adjoint operator and an expansion theorem is proved.

KW - Boundary value problem

KW - Difference equation

KW - Discrete Sturm-Liouville problem

KW - Parameter in the boundary conditions

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JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

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Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions

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Keywords

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