Positive solutions for a second order boundary value problem on time scales

Jiafa Xu; Donal O’Regan

doi:10.1007/s12190-015-0895-5

Positive solutions for a second order boundary value problem on time scales

Jiafa Xu, Donal O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper using fixed point index theory we study the existence of positive solutions for a second order boundary value problem on time scales. Our existence theorems will be expressed under some conditions concerning the first eigenvalue of a relevant linear operator.

Original language	English
Pages (from-to)	127-144
Number of pages	18
Journal	Journal of Applied Mathematics and Computing
Volume	51
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-015-0895-5
Publication status	Published - 31 May 2016

Keywords

Boundary value problem
Fixed point index
Positive solution
The first eigenvalue
Time scale

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10.1007/s12190-015-0895-5

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title = "Positive solutions for a second order boundary value problem on time scales",

abstract = "In this paper using fixed point index theory we study the existence of positive solutions for a second order boundary value problem on time scales. Our existence theorems will be expressed under some conditions concerning the first eigenvalue of a relevant linear operator.",

keywords = "Boundary value problem, Fixed point index, Positive solution, The first eigenvalue, Time scale",

author = "Jiafa Xu and Donal O{\textquoteright}Regan",

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year = "2016",

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T1 - Positive solutions for a second order boundary value problem on time scales

AU - Xu, Jiafa

AU - O’Regan, Donal

N1 - Publisher Copyright: © Korean Society for Computational and Applied Mathematics 2015.

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Y1 - 2016/5/31

N2 - In this paper using fixed point index theory we study the existence of positive solutions for a second order boundary value problem on time scales. Our existence theorems will be expressed under some conditions concerning the first eigenvalue of a relevant linear operator.

AB - In this paper using fixed point index theory we study the existence of positive solutions for a second order boundary value problem on time scales. Our existence theorems will be expressed under some conditions concerning the first eigenvalue of a relevant linear operator.

KW - Boundary value problem

KW - Fixed point index

KW - Positive solution

KW - The first eigenvalue

KW - Time scale

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DO - 10.1007/s12190-015-0895-5

M3 - Article

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EP - 144

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

Positive solutions for a second order boundary value problem on time scales

Abstract

Keywords

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