Periodic solutions for second order differential systems with damping
Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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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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G. J. Butler (1974)
Annales Polonici Mathematici
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J. Ligęza (1977)
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).
Carvalho, L.A.V., Ladeira, L.A.C., Martelli, M. (2000)
Portugaliae Mathematica
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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Makay, Géza (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Pierpaolo Omari, Fabio Zanolin (1984)
Rendiconti del Seminario Matematico della Università di Padova
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F. H. Szafraniec (1969)
Annales Polonici Mathematici
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Wu, Jun, Liu, Yicheng (2006)
Discrete Dynamics in Nature and Society
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S. Sędziwy (1965)
Annales Polonici Mathematici
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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...