Positive solutions of higher-order periodic boundary value problems

DOI10.1016/j.camwa.2003.09.027zbMath1062.34021OpenAlexW2048498118MaRDI QIDQ1767925

Yongxiang Li

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2003.09.027

zbMATH Keywords

Maximum principlePositive solutionConeFixed-point index\(n\)th-order periodic boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (15)

Existence of solutions to nonlinear first-order PBVPs on time scales ⋮ Positive solutions to periodic boundary value problems for four-order differential equations ⋮ Existence of solutions for 2\(m\)th-order periodic boundary value problems ⋮ Existence of positive periodic solutions for higher-order ordinary differential equations ⋮ Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales ⋮ Twin positive solutions of nonlinear first-order boundary value problems on time scales ⋮ Existence and multiplicity results for nonlinear periodic boundary value problems ⋮ Positive solutions for singular nonlinear third-order periodic boundary value problems ⋮ Odd periodic solutions for 2\(n\)th-order ordinary differential equations ⋮ Positive periodic solutions for fully third-order ordinary differential equations ⋮ Positive solutions for system of first-order dynamic 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 ⋮ Positive solutions to nonlinear first-order PBVPs with parameter on time scales ⋮ Positive periodic solutions for high-order differential equations with multiple delays in Banach spaces

Cites Work

• 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
• The method of lower and upper solutions for third-order periodic boundary value problems
• Maximum principles for fourth and sixth order periodic boundary value problems
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