Antiperiodic solutions for Liénard-type differential equation with -Laplacian operator.
Chen, Taiyong, Liu, Wenbin, Yang, Cheng (2010)
Boundary Value Problems [electronic only]
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Displaying similar documents to “The existence and uniqueness of solution of Duffing equations with non- perturbation functional at nonresonance.”
Antiperiodic solutions for Liénard-type differential equation with -Laplacian operator.
Periodic solutions of systems with asymptotically even nonlinearities.
Kloeden, Peter E., Krasnosel'skii, Alexander M. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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The existence of periodic solutions for a class of nonlinear functional differential equations
Jin-Zhi Liu, Zhi-Yuan Jiang, Ai-Xiang Wu (2008)
Applications of Mathematics
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This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.
Further results for some third order differential systems with nonlinear dissipation
Awar Simon Ukpera (2004)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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We formulate nonuniform nonresonance criteria for certain third order differential systems of the form , which further improves upon our recent results in [12], given under sharp nonresonance considerations. The work also provides extensions and generalisations to the results of Ezeilo and Omari [5], and Minhós [9] from the scalar to the vector situations.
Multiple solutions for nonlinear periodic problems with discontinuities
Nikolaos S. Papageorgiou, Nikolaos Yannakakis (2002)
Archivum Mathematicum
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In this paper we consider a periodic problem driven by the one dimensional -Laplacian and with a discontinuous right hand side. We pass to a multivalued problem, by filling in the gaps at the discontinuity points. Then for the multivalued problem, using the nonsmooth critical point theory, we establish the existence of at least three distinct periodic solutions.