Turkish Journal of Mathematics
DOI
10.3906/mat-1412-16
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
First Page
896
Last Page
917
Recommended Citation
LIU, YUJI
(2017)
"Solvability of boundary value problems for coupled impulsive differential equations with one-dimensional p-Laplacians,"
Turkish Journal of Mathematics: Vol. 41:
No.
4, Article 11.
https://doi.org/10.3906/mat-1412-16
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss4/11
