- Turkish Journal of Mathematics
- Vol: 41 Issue: 4
- Solvability of boundary value problems for coupled impulsive differential equations with one-dimensi...
Solvability of boundary value problems for coupled impulsive differential equations with one-dimensional p-Laplacians
Authors : Yuji Liu
Pages : 896-917
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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