The existence of periodic solutions of an autonomous second order non-linear differential equation
G. J. Butler (1974)
Annales Polonici Mathematici
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Displaying similar documents to “Periodic solutions of a class of third-order differential equations with two delays depending on time and state”
The existence of periodic solutions of an autonomous second order non-linear differential equation
On generalized periodic solutions of linear differential equations of order n
J. Ligęza (1977)
Annales Polonici Mathematici
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Periodic solutions of x" + f(μ, x) = 0
G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Periodic solutions of differential equations in the cylindrical space
Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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Periodic solutions of a differential delay equation of Rayleigh type
S. Invernizzi, F. Zanolin (1979)
Rendiconti del Seminario Matematico della Università di Padova
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On some possible extensions of Massera's theorem.
Makay, Géza (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments
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).
Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models
Fei Long, Bingwen Liu (2012)
Annales Polonici Mathematici
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This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays. By applying the coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model. Moreover, a totally new approach to proving the uniqueness of positive periodic solutions is proposed. In particular, an example is employed to illustrate the main results.
Forbidden periods in delay differential equations.
Carvalho, L.A.V., Ladeira, L.A.C., Martelli, M. (2000)
Portugaliae 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...
Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
A. Halanay (2012)
Mathematical Modelling of Natural Phenomena
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Existence and stability of periodic solutions are studied for a system of delay differential equations with two delays, with periodic coefficients. It models the evolution of hematopoietic stem cells and mature neutrophil cells in chronic myelogenous leukemia under a periodic treatment that acts only on mature cells. Existence of a guiding function leads to the proof of the existence of a strictly positive periodic solution by a theorem...
Note on the existence of periodic solutions of a second order differential equation
F. H. Szafraniec (1969)
Annales Polonici Mathematici
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Two periodic solutions of neutral difference equations modelling physiological processes.
Wu, Jun, Liu, Yicheng (2006)
Discrete Dynamics in Nature and Society
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On periodic solutions of a certain third-order non-linear differential equation
S. Sędziwy (1965)
Annales Polonici Mathematici
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Periodic Solutions of Scalar Differential Equations without Uniqueness
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.
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.