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- W2376943902 abstract "In this paper,wu use the variational method to study the existence and multiplicity of periodic solutions for the nonlinear singular differential equation(g(t)|u'(t)|p-2u'(t))'-|u(t)|p-2u(t)=λF(t,u(t)),a.e.t∈[0,T]u(0)-u(T)=gq-1(0)u'(0)-gq-1(T)u'(T)=0where T0,λ0,g∈L∞(0,T;R+),ess.inf g0,p2,1p+1q=1,and F:[0,T]×RN→R satisfies the following assumption:(A)F(t,u) is measurable in t for every u∈RN and continuously differential in u for a.e.t∈[0,T] and there exist a∈C(R+,R+),b∈L1(0,T;R+) such that|F(t,u)|a(|u|)b(t),|F(t,u)|a(|u|)b(t)for all u∈RN and a.e.t∈[0,T]." @default.
- W2376943902 created "2016-06-24" @default.
- W2376943902 creator A5028762734 @default.
- W2376943902 date "2009-01-01" @default.
- W2376943902 modified "2023-09-24" @default.
- W2376943902 title "The Existence and Multiplicity of Periodic Solutions for the Nonlinear Singular Differential Equation" @default.
- W2376943902 hasPublicationYear "2009" @default.
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