An abstract result on asymptotically positively homogeneous differential equations

DOI10.1006/jmaa.1997.5383zbMath0876.34050OpenAlexW1964329068MaRDI QIDQ1359573

Meirong Zhang

Publication date: 25 November 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5383

zbMATH Keywords

\(\omega\)-periodic solutionsCarathéodory functionasymptotically positively homogeneous differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (5)

Contributions to coincidence degree theory of asymptotically homogeneous operators ⋮ Periodic solutions for ordinary differential equations with sublinear impulsive effects ⋮ Unnamed Item ⋮ Nonresonance conditions for asymptotically positively homogeneous differential systems: The Fučik spectrum and its generalization ⋮ Unnamed Item

Cites Work

• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• A variational approach to nonresonance with respect to the Fučik spectrum
• Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian
• A Semi-Fredholm Principle for Periodically Forced Systems with Homogeneous Nonlinearities
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