Optimal existence theory for single and multiple positive solutions to fourth-order periodic boundary value problems

DOI10.1016/j.nonrwa.2005.05.003zbMath1109.34019OpenAlexW2047392808MaRDI QIDQ859583

Daqing Jiang, Huizhao Liu, Li-Li Zhang

Publication date: 16 January 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.05.003

zbMATH Keywords

positive solutionperiodic boundary value problemfixed-point theorem in cones

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 (3)

Existence of positive solutions for a fourth-order periodic boundary value problem ⋮ Solvability and dependence on a parameter of a fourth-order periodic boundary value problem ⋮ Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis

Cites Work

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• 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 second, third, fourth, and higher order boundary value problems
• Positive solutions of fourth-order periodic boundary value problems
• The method of lower and upper solutions for third-order periodic boundary value problems
• Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
• Maximum principles for fourth and sixth order periodic boundary value problems

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