Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1412-16
Keywords
Impulsive differential system on whole line, boundary value problem, increasing odd homeomorphisms, sub-Carathéodory function, discrete Carath\'eodory function, fixed point theorem
First Page
896
Last Page
917
Recommended Citation
LIU, Y (2017). Solvability of boundary value problems for coupled impulsive differential equations with one-dimensional p-Laplacians. Turkish Journal of Mathematics 41 (4): 896-917. https://doi.org/10.3906/mat-1412-16
