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- W2024877561 abstract "We study differential equations with periodic nonlinearities. In particular, we prove that for |a| small, the equation −u″−u+g(u)=h(t)+asin(t−φ), where g is a C1 periodic function with zero mean value and h is orthogonal to cost and sint, has 2π-periodic solutions. The proof relies on an abstract result based on variational arguments; its application makes use of integral estimates by the stationary phase method. We also study the existence of multiple solutions." @default.
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- W2024877561 date "2003-11-01" @default.
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- W2024877561 title "Problems at resonance for equations with periodic nonlinearities" @default.
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- W2024877561 doi "https://doi.org/10.1016/j.na.2003.07.005" @default.
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