Some further results on periodic solutions of certain higher order nonlinear differential equations

DOI10.1016/0362-546X(84)90099-3zbMath0575.34031OpenAlexW2088582324MaRDI QIDQ3695624

W. V. Petryshyn

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90099-3

zbMATH Keywords

topological degreesemilinear equationsapproximation-solvabilityhigher order ordinary differential equationsA- proper mappings

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (1)

On the existence of periodic solutions for a nonlinear system of ordinary differential equations

Cites Work

• Periodic solutions of certain second order nonlinear differential equations
• Periodic solutions of certain differential equations with quasibounded nonlinearities
• On forced nonlinear oscillations
• On Schauder's fixed point theorem and forced second-order nonlinear oscillations
• On the approximation-solvability of nonlinear equations
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• Periodic solutions of certain higher order nonlinear differential equations
• Using degree theory for densely defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• PERIODIC SOLUTIONS OF (a(t)x′)′ + f(t, x) = p(t)
• Rothe and altman type coincidence theorems and applications to differential equations
• Periodic solutions of certain higher order differential equations

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