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Maximum principle and the fourth order boundary value problem

Abstract

This paper is devoted to the study the nonlinear boundary value problem . We state a maximum principle related with the operator  and apply it to prove the existence and approximation of solutions to the problem (i), (ii), in presence of properly ordered lower and upper functions.

Keyword : Fourth order maximum principle, nonlinear boundary value problem, upper and lower functions

How to Cite
Yermachenko, I. (2011). Maximum principle and the fourth order boundary value problem. Mathematical Modelling and Analysis, 16(1), 143-152. https://doi.org/10.3846/13926292.2011.562931
Published in Issue
Apr 8, 2011
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