On the existence and uniqueness for higher order periodic boundary value problems

DOI10.1016/j.na.2008.01.004zbMath1159.34013OpenAlexW1974696717MaRDI QIDQ2518113

Yongxiang Li

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.01.004

zbMATH Keywords

existence and uniquenessfixed-point theoremnormal operatorspectral condition\(n\)th-order PBVP

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (6)

The existence and uniqueness of periodic solutions for some nonlinear \(n\)th-order differential equations ⋮ On higher order fully periodic boundary value problems ⋮ Existence of solutions for 2\(m\)th-order periodic boundary value problems ⋮ Existence of positive periodic solutions for higher-order ordinary differential equations ⋮ Odd periodic solutions for 2\(n\)th-order ordinary differential equations ⋮ Nontrivial solutions of a fully fourth-order periodic boundary value problem

Cites Work

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• Periodic boundary value problems for nonlinear higher order ordinary differential equations
• Remarks on the lower and upper solutions method for second- and third- order periodic boundary value problems
• The method of lower and upper solutions for \(n\)th-order periodic boundary value problems
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• Positive solutions of fourth-order periodic boundary value problems
• An existence and uniqueness result for periodic solution of \(2n\)-order differential equations.
• On periodic solutions of \(n\)th order ordinary differential equations
• Positive solutions of higher-order periodic boundary value problems
• The method of lower and upper solutions for third-order periodic boundary value problems
• Existence and uniqueness of periodic solutions for \((2n+1)\)th-order differential equations
• Existence and uniqueness for higher order periodic boundary value problems under spectral separation conditions
• Periodic solutions of higher-order delay differential equations
• Oscillatory periodic solutions of nonlinear second order ordinary differential equations
• Periodic solutions for \(2k\)th boundary value problem with resonance
• Periodic solutions for 2kth order ordinary differential equations with nonresonance
• Maximum principles for fourth and sixth order periodic boundary value problems
• Equivalent Norms for Sobolev Spaces
• Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems

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