Invariance of homotopy and an extension of a theorem by Habets-Metzen on periodic solutions of Duffing equations

DOI10.1016/S0362-546X(00)00164-4zbMath1005.34011MaRDI QIDQ5958903

Yujun Dong

Publication date: 4 February 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

existenceperiodic solutionDuffing equationcoincidence degreeinvariance of homotopy

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (3)

Multiplicity of positive periodic solutions to superlinear repulsive singular equations ⋮ Positive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces ⋮ Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem

Cites Work

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• Periodic solutions of asymptotically positively homogeneous differential equations
• Existence of periodic solutions of Duffing equations
• Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order
• A continuation approach to superlinear periodic boundary value problems
• On the periodic BVP for the forced duffing equation with jumping nonlinearity

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