MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEM WITH FINITE FRACTIONAL DIFFERENCE

• 발행기관: 충청수학회
• 저자명: Yansheng He Chengmin Hou
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 2, 173~186쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.05.30

국문 초록

In this paper, we consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. We transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson, we pro-vide sufficient conditions for the existence of at least three positive solutions.

목차

1. Introduction

2. Preliminaries

3. Triple positive solutions

키워드

multiple solutions boundary value problem fractional, fixed-point.