Solvability of boundary value problems for coupled impulsive differential equations with one-dimensional p-Laplacians

Authors : Yuji LIU

Pages : 896-917

View : 11 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This paper is concerned with a boundary value problem of impulsive differential systems on the whole line with one-dimensional p-Laplacians. By constructing a weighted Banach space and defining a nonlinear operator, together with Schauder`s fixed point theorem, sufficient conditions to guarantee the existence of at least one solution are established insert ignore into journalissuearticles values(Theorems 3.1-3.3);. Two examples are given to illustrate the main results.
Keywords : Impulsive differential system on whole line, boundary value problem, increasing odd homeomorphisms, sub Carathéodory function, discrete Carath`eodory function, fixed point theorem