Sixth Mississippi State Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 15 (2007), pp. 127-139.

A non-resonant generalized multi-point boundary-value problem of Dirichelet type involving a p-laplacian type operator

Chaitan P. Gupta

Abstract:
We study the existence of solutions for the generalized multi-point boundary-value problem
$$\displaylines{
 (\phi (x'))'=f(t,x,x')+e\quad 0 less than t less than 1, \cr
 x(0)=\sum_{i=1}^{m-2}a_ix(\xi _i),\quad
 x(1)=\sum_{j=1}^{n-2}b_jx(\tau _j),
 }$$
in the non-resonance case. Our methods consist in using topological degree and some a priori estimates.

Published February 28, 2007.
Math Subject Classifications: 34B10, 34B15, 34L30, 34L90.
Key Words: Generalized multi-point boundary value problems; p-Laplace type operator, non-resonance; a priori estimates; topological degree.

Show me the PDF file (252K), TEX file, and other files for this article.

Chaitan P. Gupta
Department of Mathematics 084
University of Nevada, Reno
Reno, NV 89557, USA
email: gupta@unr.edu

Return to the table of contents for this conference.
Return to the EJDE web page