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- W1971164479 abstract "We obtain sufficient conditions for the existence of three T-periodic solutions of the first order functional differential equation u′(t)=a(t)g(u(t))u(t)−b(t)f(u(t−τ(t))), where a,b,τ∈C(R,R) are T-periodic functions, f,g∈C(R,R), and g is not necessarily bounded. As an application of our theorem, we also derived criteria for the existence of three T-periodic solutions of the eigenvalue problem u′(t)=a(t)g(u(t))u(t)−λb(t)f(u(t−τ(t))), where λ is a positive parameter. Our analysis mainly relies on the lower and upper solution method and the topological degree theory. Examples are provided to apply our results." @default.
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- W1971164479 date "2011-12-01" @default.
- W1971164479 modified "2023-09-24" @default.
- W1971164479 title "Existence of multiple periodic solutions for first order functional differential equations" @default.
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- W1971164479 doi "https://doi.org/10.1016/j.mcm.2011.07.018" @default.
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