The barrier strip technique for a boundary value problem with p-Laplacian

We study the solvability of the boundary value problem $$ (phi_p(x'))'=f(t,x,x'),quad x(0)=A,;x'(1)=B, $$ where $phi_p(s)=s|s|^{p-2}$, using the barrier strip type arguments. We establish the existence of $C^2[0,1]$-solutions, restricting our considerations to $pin(1,2]$. T...

Full description

Bibliographic Details
Main Authors: Petio S. Kelevedjiev, Stepan A. Tersian
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/28/abstr.html