On an \(L^ 1\)-forced autonomous Duffing's equation with periodic boundary conditions in the presence of damping

DOI10.1216/rmjm/1181072281zbMath0831.34025OpenAlexW2034769198MaRDI QIDQ1898311

Chaitan P. Gupta

Publication date: 12 February 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072281

zbMATH Keywords

existenceboundary value problemLeray-Schauder continuation theoremDuffing equation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Cites Work

• Periodic solutions of some Lienard and Duffing equations
• Solvability of a forced autonomous Duffing's equation with periodic boundary conditions in the presence of damping
• On the structure of the solution set for periodic boundary value problems
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