Multiple periodic solutions for a second-order problem on periodic time scales

DOI10.1016/J.NA.2004.08.024zbMath1060.34022OpenAlexW2151987796MaRDI QIDQ703412

Douglas R. Anderson

Publication date: 11 January 2005

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.2004.08.024

zbMATH Keywords

boundary value problemstime scalesRiccati equationfixed-points

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Discrete version of topics in analysis (39A12) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (13)

Multiple positive solutions for a second-order three-point boundary value problem ⋮ Periodicity on isolated time scales ⋮ Multiple periodic solutions of delayed predator-prey systems with type IV functional responses on time scales ⋮ Existence and uniqueness results for nonlinear first-order three-point boundary value problems on time scales ⋮ Periodic solutions of functional dynamic equations with infinite delay ⋮ Existence of a periodic solution for~continuous and discrete periodic second-order equations with variable potentials ⋮ Periodic solutions for periodic second-order differential equations with variable potentials ⋮ Phase spaces and periodic solutions of set functional dynamic equations with infinite delay ⋮ Periodic solutions for a delayed neural network model on a special time scale ⋮ Existence and uniqueness of positive solutions for BVP on the Half-Line ⋮ Existence of periodic solutions for a class of second order ordinary differential equations ⋮ Existence and roughness of exponential dichotomies of linear dynamic equations on time scales ⋮ On dynamic equations with deviating arguments

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Positive periodic solutions for nonlinear difference equations with periodic coefficients
• Basic calculus on time scales and some of its applications
• Positive periodic solutions of nonlinear differential equations
• Positive solutions for a nonlinear differential equation on a measure chain
• Positivity of Green's function for an \(n\)-point right focal boundary value problem on measure chains.
• Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain
• Eigenvalue conditions and positive solutions
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