Existence of Periodic Solutions for Second Order Rayleigh Equations With Piecewise Constant Argument

Based on a continuation theorem of Mawhin, periodic solutions are found for the second-order Rayleigh equation with piecewise constant argument.

Anahtar Kelimeler:

Rayleigh equation, deviating argument, piecewise constant argument, periodic solution, Mawhin's continuation theorem

Existence of Periodic Solutions for Second Order Rayleigh Equations With Piecewise Constant Argument

Based on a continuation theorem of Mawhin, periodic solutions are found for the second-order Rayleigh equation with piecewise constant argument.

Keywords:

Rayleigh equation, deviating argument, piecewise constant argument, periodic solution, Mawhin's continuation theorem,

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Department of Computer Science Guangdong Polytechnic Normal University Guangzhou, Guangdong , P. R. CHINA Sui Sun CHENG Department of Mathematics, Tsing Hua University Hsinchu, Taiwan , R. O. CHINA