Three solutions for a discrete nonlinear Neumann problem involving the -Laplacian.
Candito, Pasquale, D'aguì, Giuseppina (2010)
Advances in Difference Equations [electronic only]
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Candito, Pasquale, D'aguì, Giuseppina (2010)
Advances in Difference Equations [electronic only]
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Yu, Jianshe, Zhu, Benshi, Guo, Zhiming (2008)
Advances in Difference Equations [electronic only]
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Marek Galewski, Piotr Kowalski (2014)
Open Mathematics
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In this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.
Tan, Weiming, Zhou, Zhan (2010)
International Journal of Mathematics and Mathematical Sciences
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Ma, Ruyun, Li, Jiemei, Gao, Chenghua (2010)
Discrete Dynamics in Nature and Society
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Liu, Xi-Lan, Wu, Jian-Hua (2008)
Discrete Dynamics in Nature and Society
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Guo, Jianmin, Guo, Caixia (2011)
Discrete Dynamics in Nature and Society
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Song, Chang-Xiu (2006)
Advances in Difference Equations [electronic only]
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Yang, S.J., Shi, B., Zhang, D.C. (2007)
Boundary Value Problems [electronic only]
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Jiang, Liqun, Zhou, Zhan (2008)
Advances in Difference Equations [electronic only]
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Staněk, Svatoslav (1997)
Archivum Mathematicum
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A class of functional boundary conditions for the second order functional differential equation is introduced. Here is a nonlinear continuous unbounded operator. Sufficient conditions for the existence of at least four solutions are given. The proofs are based on the Bihari lemma, the topological method of homotopy, the Leray-Schauder degree and the Borsuk theorem.