Time Periodic Solutions of Nonlinear Wave Equations.
Paul H. Rabinowitz (1971)
Manuscripta mathematica
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Displaying similar documents to “Anti-periodic solutions of some nonlinear evolution equations.”
Time Periodic Solutions of Nonlinear Wave Equations.
On periodic solutions of first order nonlinear differential equations with deviating arguments.
Kiguradze, I. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses
Michal Fečkan, JinRong Wang, Yong Zhou (2014)
Nonautonomous Dynamical Systems
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In this paper, we consider periodic solutions for a class of nonlinear evolution equations with non-instantaneous impulses on Banach spaces. By constructing a Poincaré operator, which is a composition of the maps and using the techniques of a priori estimate, we avoid assuming that periodic solution is bounded like in [1-4] and try to present new sufficient conditions on the existence of periodic mild solutions for such problems by utilizing semigroup theory and Leray-Schauder's fixed...
Construction of Periodic Solutions of Nonlinear Wave equations in Higher Dimension.
J. Bourgain (1995)
Geometric and functional analysis
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Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays
Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi (2022)
Commentationes Mathematicae Universitatis Carolinae
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The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.
Multiple solutions for a nonlinear second order differential equation
Dang Dinh Hai (1990)
Annales Polonici Mathematici
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Periodic Solutions of Nonlinear Second Order Differential Equations.
Klaus Schmitt (1967)
Mathematische Zeitschrift
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Some remarks on semilinear problems at resonance where the nonlinearity depends only on the derivatives
Jean Mawhin (1994)
Acta Mathematica et Informatica Universitatis Ostraviensis
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On existence of solutions to the periodic boundary value problem for a nonlinear system of generalized ordinary differential equations.
Ashordia, M. (1999)
Memoirs on Differential Equations and Mathematical Physics
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A Remark on Periodic Tchebyshev Systems.
Roland Zielke (1972)
Manuscripta mathematica
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Periodic solutions of nonlinear differential systems by the method of averaging
Zhanyong Li, Qihuai Liu, Kelei Zhang (2020)
Applications of Mathematics
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In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence...