POSITIVE PERIODIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS WITH SINGULARITIES

DOI10.1017/S0004972708000592zbMath1170.34325MaRDI QIDQ3534786

Hong-Xu Li

Publication date: 5 November 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Green's functionsingularitypositive periodic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Cites Work

• Infinitely many \(T\)-periodic solutions for a problem arising in nonlinear elasticity
• Weak singularities may help periodic solutions to exist
• Multiplicity of positive periodic solutions to superlinear repulsive singular equations
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Twist periodic solutions of repulsive singular equations
• Noncollision periodic solutions to some singular dynamical systems with very weak forces
• Periodic solutions of second order non-autonomous singular dynamical systems
• Subharmonic Solutions for Some Second-Order Differential Equations with Singularities
• Periodic Solutions of some Lienard Equations with Singularities
• A relationship between the periodic and the Dirichlet BVPs of singular differential equations
• On Periodic Solutions of Nonlinear Differential Equations with Singularities
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

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