Existence and uniqueness of solutions for delay boundary value problems with p-Laplacian on infinite intervals
1 School of Mathematical Science, Guangxi Normal University, Guilin, 541004, China
2 School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore
Boundary Value Problems 2013, 2013:141 doi:10.1186/1687-2770-2013-141Published: 31 May 2013
This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line. The existence of solutions is derived from the Schauder fixed point theorem, whereas the uniqueness of solution is established by the Banach contraction principle. As an application, an example is given to demonstrate the main results.
MSC: 34K10, 34B18, 34B40.