Existence and uniqueness of periodic solutions for \((2n+1)\)th-order differential equations

DOI10.1006/jmaa.1999.6471zbMath0944.34036OpenAlexW1989892258MaRDI QIDQ1970946

Fuzhong Cong, Qingdao Huang, Shaoyun Shi

Publication date: 11 September 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6471

zbMATH Keywords

existenceperiodic solutionsuniqueness\((2n+ 1)\)th-order nonlinear ordinary differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34)

Related Items (17)

Periodic solutions for nonlinear \(n\)th order differential equations with delays ⋮ Anti-periodic solutions for a class of nonlinear \(n\)th-order differential equations with delays ⋮ Bounded solutions of second-order systems of differential equations ⋮ The existence and uniqueness of periodic solutions for some nonlinear \(n\)th-order differential equations ⋮ Periodic solutions for higher order differential equations with deviating argument ⋮ The existence of anti-periodic solutions for high order Duffing equation ⋮ Existence of periodic solutions of higher order nonlinear functional difference equations ⋮ Existence of periodic solutions of \((2n+1)\)th-order ordinary differential equations. ⋮ Odd periodic solutions for 2\(n\)th-order ordinary differential equations ⋮ Existence and uniqueness for higher order periodic boundary value problems under spectral separation conditions ⋮ On the existence and uniqueness for higher order periodic boundary value problems ⋮ Existence and uniqueness of periodic solutions for a class of nonlinearn-th order differential equations with delays ⋮ Periodic solutions for a class of \(n\)-th order functional differential equations ⋮ On high-order delay differential equation ⋮ The existence of periodic solutions of higher order nonlinear periodic difference equations ⋮ Periodic solutions of higher-order delay differential equations ⋮ Periodic solutions of \((2n+1)\)th order ordinary differential equations

Cites Work

• Ordinary differential equations with nonlinear boundary conditions
• Periodically perturbed conservative systems and a global inverse function theorem
• Periodic solutions for 2kth order ordinary differential equations with nonresonance
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations
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