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.

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

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