Periodic solutions for coupled first order systems of ordinary differential equations

DOI10.1016/0362-546X(79)90077-4zbMath0411.34053MaRDI QIDQ4199091

Chaitan P. Gupta

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsLeray-Schauder degreemonotone mappingLiapunov-Schmidt methodCoupled first order systemslinear Fredholm mappingsum of ranges of operatorstrimonotone mapping

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (5)

Systems of first order differential inclusions with maximal monotone terms ⋮ Existence theorems for equations in normed spaces and boundary value problems for nonlinear vector ordinary differential equations ⋮ Periodic \(n\) dimensional first order coupled systems and periodic schizophrenia phenomena ⋮ On forced nonlinear oscillations in nth order differential systems with geometric conditions ⋮ Periodic solutions for coupled first order nonlinear differential systems of Hamiltonian type

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• Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth
• Ordinary differential systems of optimal control type with monotone reversed nonlinearities
• Nonlinear elliptic boundary value problems in Lp-spaces and sums of ranges of accretive operators

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