Maximum principle and the fourth order boundary value problem
DOI: https://doi.org/10.3846/13926292.2011.562931Abstract
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.
Keywords:
Fourth order maximum principle, nonlinear boundary value problem, upper and lower functionsHow 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
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2011-04-08
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Copyright
Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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