Periodic Solutions for a Third-order p-Laplacian Functional Differential Equation

By means of Mawhin’s continuation theorem, we study a kind of third-order p-Laplacian functional differential equation with distributed delay in the form: ϕp(x (t)) = g  t,  0 −τ x(t + s) dα(s)  + e(t), some criteria to guarantee the existence of periodic solutions are obtained.

• Yanling Zhu
• Kai Wang

• p–Laplacian
• distributed delay
• periodic solution
• Mawhin's continuation theorem.

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