Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods

David Barilla; Martin Bohner; Shapour Heidarkhani; Shahin Moradi

doi:10.1016/j.amc.2020.125614

Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods

David Barilla
, Martin Bohner
, Shapour Heidarkhani
, Shahin Moradi

Mathematics and Statistics

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

Abstract

Several conditions ensuring existence of solutions of a dynamic Sturm-Liouville boundary value problem are derived. Variational methods are utilized in the proofs. An example illustrating the main results is given.

Original language	American English
Journal	Applied Mathematics and Computation
DOIs	https://doi.org/10.1016/j.amc.2020.125614
State	Published - Jan 1 2020

Keywords

One solution
Sturm-Liouville boundary value problem
Time scales
Variational methods

Disciplines

Mathematics
Statistics and Probability

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10.1016/j.amc.2020.125614License: Unspecified

https://doi.org/10.1016/j.amc.2020.125614

Cite this

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title = "Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods",

abstract = " Several conditions ensuring existence of solutions of a dynamic Sturm-Liouville boundary value problem are derived. Variational methods are utilized in the proofs. An example illustrating the main results is given.",

keywords = "One solution, Sturm-Liouville boundary value problem, Time scales, Variational methods",

author = "David Barilla and Martin Bohner and Shapour Heidarkhani and Shahin Moradi",

year = "2020",

month = jan,

day = "1",

doi = "10.1016/j.amc.2020.125614",

language = "American English",

journal = "Applied Mathematics and Computation",

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AU - Barilla, David

AU - Bohner, Martin

AU - Heidarkhani, Shapour

AU - Moradi, Shahin

PY - 2020/1/1

Y1 - 2020/1/1

N2 - Several conditions ensuring existence of solutions of a dynamic Sturm-Liouville boundary value problem are derived. Variational methods are utilized in the proofs. An example illustrating the main results is given.

AB - Several conditions ensuring existence of solutions of a dynamic Sturm-Liouville boundary value problem are derived. Variational methods are utilized in the proofs. An example illustrating the main results is given.

KW - One solution

KW - Sturm-Liouville boundary value problem

KW - Time scales

KW - Variational methods

UR - https://scholarsmine.mst.edu/math_stat_facwork/1044

UR - https://doi.org/10.1016/j.amc.2020.125614

U2 - 10.1016/j.amc.2020.125614

DO - 10.1016/j.amc.2020.125614

M3 - Article

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods

Abstract

Keywords

Disciplines

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