The existence and uniqueness of solution of Duffing equations with non-\(C^{2}\) perturbation functional at nonresonance

DOI10.1155/2008/859461zbMath1151.34308OpenAlexW2073061491WikidataQ59216128 ScholiaQ59216128MaRDI QIDQ937518

Ting Zhou, Wen-Hua Huang

Publication date: 15 August 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54803

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15)

Cites Work

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• A min max theorem
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• On the existence of solutions of boundary value problems of Duffing type systems
• Minimax theorems and applications to the existence and uniqueness of solutions of some differential equations
• Two minimax theorems and the solutions of semilinear equations under the asymptotic non-uniformity conditions
• A non variational version of a max-min principle
• A mini max theorem and applications to nonresonance problems for semilinear equations
• Time-maps for the solvability of periodically perturbed nonlinear duffing equations
• On the periodic solution to the Newtonian equation of motion

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