Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian

• Autorzy: Bing Liu
• Języki publikacji: EN

Abstrakty

EN

By using the topological degree theory and some analytic methods, we consider the periodic boundary value problem for the singular dissipative dynamical systems with p-Laplacian: $(ϕ_p(x'))' +d/dt gradF(x) + gradG(x) = e(t)$, x(0) = x(T), x'(0) = x'(T). Sufficient conditions to guarantee the existence of solutions are obtained under no restriction on the damping forces d/dt gradF(x).

Kategorie tematyczne

• 34C15: Nonlinear oscillations, coupled oscillators
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 79
• Numer: 2
• Strony: 109-120

Daty

wydano

2002

Twórcy

autor

Bing Liu

• Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P.R. China
• College of Mathematics and Statistics, Wuhan University, Wuhan 430072, P.R. China

Identyfikatory

DOI

10.4064/ap79-2-2