Existence of positive solutions for Lidstone boundary value problems on time scales

被引：1

作者：

Cetin, Erbil ^{[1
]}

Topal, Fatma Serap ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkiye

[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

来源：

BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期

关键词：

Krasnoselski(sic)i's-Guo fixed point theorem; Time scale; Lidstone boundary value problem; Positive solution; EIGENVALUES;

D O I：

10.1186/s13661-023-01707-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T subset of R be a time scale. The purpose of this paper is to present sufficient conditions for the existence of multiple positive solutions of the following Lidstone boundary value problem on time scales: (-1)(n)y(Delta(2n)) (t) = f (t, y(t)), t is an element of [a, b]T, y(Delta(2i)) (alpha) = y(Delta(2i)) (sigma(2n-2i)(b)) i = 0, i = 0,1,..., n - 1. Existence of multiple positive solutions is established using fixed point methods. At the end some examples are also given to illustrate our results.

引用

页数：20

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