An existence result for a multipoint boundary value problem on a time scale

被引：0

作者：

Basant Karna

Bonita A Lawrence

机构：

[1] Marshall University,Department of Mathematics

来源：

Advances in Difference Equations | / 2006卷

关键词：

Boundary Condition; Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We will expand the scope of application of a fixed point theorem due to Krasnosel'skiĭ and Zabreiko to the family of second-order dynamic equations described by uΔΔ(t) = f(uσ(t)), [inline-graphic not available: see fulltext], with multipoint boundary conditions u(0) = 0, [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] for the purpose of establishing existence results. We will determine sufficient conditions on our function f such that the assumptions of the fixed point theorem are satisfied, which in return gives us the existence of solutions.

引用

共 13 条

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Henderson J(undefined)A new existence theorem for right focal boundary value problems on a measure chain undefined undefined undefined-undefined

[10]

Leggett RW(undefined)undefined undefined undefined undefined-undefined

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