Periodic solutions of a high order equation with deviating arguments.
Lin, Wen-Xian (2004)
Mathematica Pannonica
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Lin, Wen-Xian (2004)
Mathematica Pannonica
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Carvalho, L.A.V., Ladeira, L.A.C., Martelli, M. (2000)
Portugaliae Mathematica
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S. Invernizzi, F. Zanolin (1979)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Gen-Qiang Wang, Sui Sun Cheng (2002)
Annales Polonici Mathematici
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A priori bounds are established for periodic solutions of an nth order Rayleigh equation with delay. From these bounds, existence theorems for periodic solutions are established by means of Mawhin's continuation theorem.
Wang, Yong (2010)
Applied Mathematics E-Notes [electronic only]
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Wu, Jun, Liu, Yicheng (2006)
Discrete Dynamics in Nature and Society
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Raffoul, Y. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Li, Jing-wen, Wang, Gen-qiang (2005)
Applied Mathematics E-Notes [electronic only]
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Li, Yongkun (2001)
International Journal of Mathematics and Mathematical Sciences
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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.
Jin-Zhi Liu, Zhi-Yuan Jiang, Ai-Xiang Wu (2008)
Applications of Mathematics
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This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.
Bingwen Liu, Lihong Huang (2005)
Annales Polonici Mathematici
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The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance.