A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem
type: Item
instance of: scholarly article
title: A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem
zbMATH Open document ID: 1070.34042
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Applied Mathematics and Computation
publication date: 2005-02-22T00:00:00Z
review text: The authors consider the following boundary value problem for an impulsive differential equation of second order \[ \begin{gathered} y''(t)+ \varphi(t)f(y(t))= 0,\quad t\in (0,1)\setminus\{t_1,\dots, t_m\},\quad 0< t_1<\cdots< t_m< 1,\\ \Delta y(t_k)= I_k(y(t^-_k)),\quad k= 1,\dots, m,\\ \Delta y'(t_k)= J_k(y'(t^-_k)),\quad k=1,\dots, m,\\ y(0)= y(1)= 0.\end{gathered}\tag{1} \] By means of the Leggett-Williams fixed-point theorem, the existence of three nonnegative solutions of (1) is proved.
reviewed by: S. Kostadinov
Mathematics Subject Classification ID: 34B37
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 2136196
zbMATH Keywords: second-order impulse differential equations
zbMATH Keywords: Leggett-Williams fixed-point theorem
MaRDI profile type: Publication
full work available at URL: j.amc.2003.12.096
OpenAlex ID: W1977842299
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DOI: 10.1016/J.AMC.2003.12.096
description: scientific article; zbMATH DE number 2136196