Chaitan P. Gupta
Let be an odd increasing homeomorphism from onto with , , be a function satisfying Caratheodory's conditions and . Let , , , , be given. This paper is concerned with the problem of existence of a solution for the multi-point boundary-value problem
This paper gives conditions for the existence of a solution for the above boundary-value problem using some new Poincare type a priori estimates. In the case for , this problem was studied earlier by Gupta, Trofimchuk in  and by Gupta, Ntouyas and Tsamatos in . We give a priori estimates needed for this problem that are similar to a priori estimates obtained by Gupta, Trofimchuk in . We then obtain existence theorems for the above multi-point boundary-value problem using the a priori estimates and Leray-Schauder continuation theorem.
Published February 28, 2003.
Subject classifications: 34B10, 34B15, 34G20.
Key words: Multi-point boundary-value problem, three-point boundary-value problem, p-Laplacian, Leray Schauder Continuation theorem, Caratheodory's conditions.
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| Chaitan P. Gupta |
Department of Mathematics, 084
University of Nevada, Reno
Reno, NV 89557, USA
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