Existence of Multiple Positive Solutions for <i>n</i><sup>th</sup>Order Two-Point Boundary Value Problems on Time Scales

• 作者: Kapula Rajendra Prasad Nadakuduti V. V. S. Suryanarayana Penugurthi Murali
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Time Scale DYNAMICAL Equation Positive Solution CONE Boundary Value Problem
• 年，卷（期）: 2013,（1）
• 页码范围: 70-77
• 页数: 8页
• 分类号: O1

摘要

We consider the nth order nonlinear differential equation on time scales subject to the right focal type two-point boundary conditions We establish a criterion for the existence of at least one positive solution by utilizing Krasnosel’skii fixed point theorem. And then, we establish the existence of at least three positive solutions by utilizing Leggett-Williams fixed point theorem.