A homotopy index continuation method and periodic solutions of second- order gradient systems

DOI10.1016/0022-0396(86)90033-1zbMath0614.34037OpenAlexW2083769987MaRDI QIDQ1820293

Krzysztof P. Rybakowski

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90033-1

zbMATH Keywords

homotopy indexMawhin's continuation principlesecond-order gradient systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items

A cohomological index of Conley type for multi-valued admissible flows

Cites Work

• Trajectories joining critical points of nonlinear parabolic and hyperbolic partial differential equations
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• Geometric theory of semilinear parabolic equations
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• Coincidence degree, and nonlinear differential equations
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• The fixed point index for local condensing maps
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• A Morse equation in Conley's index theory for semiflows on metric spaces
• On the Homotopy Index for Infinite-Dimensional Semiflows
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