Necessary and sufficient conditions for the existence of periodic solutions of second-order ordinary differential equations with singular nonlinearities
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Publication:1894170
zbMath0831.34048MaRDI QIDQ1894170
Publication date: 18 July 1995
Published in: Differential and Integral Equations (Search for Journal in Brave)
periodic solutionsdegree theorysecond-order ordinary differential equationlower solutionupper solutionsingularity of repulsive type
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)
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Existence of periodic solutions for second-order differential equations with singularities and the strong force condition ⋮ Periodic solutions of Duffing equations with semi-quadratic potential and singularity ⋮ Existence of positive periodic solutions for the Liénard differential equations with weakly repulsive singularity ⋮ Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems ⋮ Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem ⋮ Periodic motion of a system of two or three charged particles ⋮ Positive periodic solutions for planar differential systems with repulsive singularities on the axes
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