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- W1978333445 abstract "Synopsis This paper considers existence of periodic solutions for vector Liénard differential equations In our main result we write where Q(t, x) is a symmetric matrix and h(t, x) is sublinear. The key assumption relates the asymptotic behaviour as x →+ ∞ of the eigenvalues of Q(t, x) to the spectrum of the linear operator −d 2 /dt 2 Several choices for Q(t, x) are considered which lead to known theorems and extend others. In the case of the Duffing equation the assumptions are weakened. Our approach is based on Leray-Schauder's degree theory and a priori estimates." @default.
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- W1978333445 date "1986-01-01" @default.
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- W1978333445 title "On periodic solutions of nonlinear second order vector differential equations" @default.
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- W1978333445 doi "https://doi.org/10.1017/s0308210500019090" @default.
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