We study the existence of solutions to the boundary-value problem
![$$\displaylines{
\Delta(\phi_p(\Delta u(k-1)))=f(k,u(k),\Delta u(k)),\quad
k\in \mathbb{T}_{[1, N]}, \cr
\Delta u(0)=A, \quad u(N+1)=B,
}$$](gifs/aa.gif)
with barrier strips conditions, where N is a fixed natural number greater than 1,
,
p greater than 1.
Chenghua Gao
Abstract:
We study the existence of solutions to the
boundary-value problem
with barrier strips conditions,
where N is a fixed natural number greater than 1,
,
p greater than 1.
Submitted January 24, 2007. Published April 22, 2007.
Math Subject Classifications: 39A10.
Key Words: Second-order p-Laplacian difference equation;
barrier strips; Leray-Schauder principle; existence.
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Chenghua Gao College of Mathematics and Information Science Northwest Normal University Lanzhou, Gansu 730070, China email: gaokuguo@163.com |
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