Existence of Perio dic Solutions to a Class of Third-order p-Laplacian Equations with Delays
Author(s): ZHOU Ling, ZHOU Zong-fu, SHEN Qin-rui
Pages: 492-502
Year: 2013 Issue: 4
Journal: Chinese Quarterly Journal of Mathematics
Keyword: periodic solutions; deviating argument; coincidence degree; p-Laplacian equa-tions;
Abstract: By using the continuation theorem of coincidence degree theory due to Mawhin and the new analytical method, we study the T-periodic solutions to a class of third order p-Laplacian equations with distributed delays as follows (?p((x(t) - cx(t -σ))00))0+f1(x(t))x0(t)+f2(x0(t))x00(t)+g(t, x(t), x(t-τ(t)), R 0-r x(t+s) dm(s))=e(t). Some new results for existence of T-periodic solutions to such equations are obtained.
Pages: 492-502
Year: 2013 Issue: 4
Journal: Chinese Quarterly Journal of Mathematics
Keyword: periodic solutions; deviating argument; coincidence degree; p-Laplacian equa-tions;
Abstract: By using the continuation theorem of coincidence degree theory due to Mawhin and the new analytical method, we study the T-periodic solutions to a class of third order p-Laplacian equations with distributed delays as follows (?p((x(t) - cx(t -σ))00))0+f1(x(t))x0(t)+f2(x0(t))x00(t)+g(t, x(t), x(t-τ(t)), R 0-r x(t+s) dm(s))=e(t). Some new results for existence of T-periodic solutions to such equations are obtained.
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