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New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations

Yuji Liu, Xingyuan Liu (2013)

Mathematica Bohemica

This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An example is...

New results on periodic solutions for a kind of Rayleigh equation

Mei-Lan Tang, Xin-Ge Liu, Xin-Bi Liu (2009)

Applications of Mathematics

The paper deals with the existence of periodic solutions for a kind of non-autonomous time-delay Rayleigh equation. With the continuation theorem of the coincidence degree and a priori estimates, some new results on the existence of periodic solutions for this kind of Rayleigh equation are established.

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