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

Authors: YUJI LIU

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 (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

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