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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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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G. J. Butler (1974)
Annales Polonici Mathematici
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J. Ligęza (1977)
Annales Polonici Mathematici
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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...