Weiwen Shao, Fuxing Zhang, Ya Li (2008)
Annales Polonici Mathematici
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By applying the continuation theorem of coincidence degree theory, we establish new results on the existence and uniqueness of 2π-periodic solutions for a class of nonlinear nth order differential equations with delays.
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...
Kiguradze, I. (1997)
Memoirs on Differential Equations and Mathematical Physics
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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...
S. Invernizzi, F. Zanolin (1979)
Rendiconti del Seminario Matematico della Università di Padova
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Raffoul, Y. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Radosław Pietkun (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.
G. J. Butler (1974)
Annales Polonici Mathematici
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Pierpaolo Omari, Fabio Zanolin (1984)
Rendiconti del Seminario Matematico della Università di Padova
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J. Ligęza (1977)
Annales Polonici Mathematici
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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Bingwen Liu (2006)
Annales Polonici Mathematici
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We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
Fabio Zanolin (1983)
Rendiconti del Seminario Matematico della Università di Padova
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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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