Positive periodic solutions for second-order ordinary differential equations with derivative terms and singularity in nonlinearities

DOI10.1155/2012/945467zbMath1264.34040OpenAlexW2146971603WikidataQ58908787 ScholiaQ58908787MaRDI QIDQ1757922

Yongxiang Li, Xiaoyu Jiang

Publication date: 7 November 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/945467

zbMATH Keywords

singularityfixed point indexconespositive periodic solutionsecond-order equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (2)

Odd periodic solutions of fully second-order ordinary differential equations with superlinear nonlinearities ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• Existence of positive periodic solutions to nonlinear second order differential equations
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• Periodic solutions of dynamical systems with bounded potential
• Nonlinear second-order periodic boundary value problems
• Multiple positive solutions of nonlinear two-point boundary value problems
• Periodic solutions of a second order superquadratic system with a change of sign in the potential
• Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• Positive solutions for nonlinear eigenvalue problems
• Positive solutions to second-order boundary value problems with sign-changing nonlinear terms
• Positive periodic solutions of first and second order ordinary differential equations
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Periodic solutions of the Liénard equation with one-sided growth restrictions
• Oscillatory periodic solutions of nonlinear second order ordinary differential equations
• A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problems
• Monotone method for second order periodic boundary value problems
• On the existence of harmonic solutions of Liénard systems
• On the Existence of Positive Solutions of Ordinary Differential Equations
• Positive solution of a singular nonlinear third-order periodic boundary value problem
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

This page was built for publication: Positive periodic solutions for second-order ordinary differential equations with derivative terms and singularity in nonlinearities