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Nonexistence and existence results for a class of fourth‐order difference Dirichlet boundary value problems
Author(s) -
Liu Xia,
Zhang Yuanbiao,
Shi Haiping
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3100
Subject(s) - mathematics , class (philosophy) , dirichlet distribution , complement (music) , boundary value problem , order (exchange) , nonlinear system , value (mathematics) , boundary values , dirichlet boundary condition , dirichlet problem , critical point (mathematics) , mathematical analysis , pure mathematics , statistics , computer science , artificial intelligence , finance , economics , biochemistry , chemistry , physics , quantum mechanics , complementation , phenotype , gene
This paper is concerned with a class of fourth‐order nonlinear difference equations. By using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of solutions for Dirichlet boundary value problems and give some new results. Our results successfully complement the existing ones. Copyright © 2014 John Wiley & Sons, Ltd.