A note on periodic solution of second order non-linear differential equations
Bahman Mehri (1977)
Archivum Mathematicum
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Bahman Mehri (1977)
Archivum Mathematicum
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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...
Stanisław Sȩdziwy (2009)
Bollettino dell'Unione Matematica Italiana
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The note presents a simple proof of a result due to F. Obersnel and P. Omari on the existence of periodic solutions with an arbitrary period of the first order scalar differential equation, provided equation has an n-periodic solution with the minimal period n > 1.
Fabio Zanolin (1983)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Bashir Ahmad, Sotiris K. Ntouyas (2012)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.
Kiguradze, I. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Mawhin, Jean
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