Positive solutions of second-order half-linear dynamic equations on time scales

DOI10.1016/j.amc.2003.08.089zbMath1074.39013OpenAlexW1993055323MaRDI QIDQ702539

Wang-Tong Li, Hong-Rui Sun

Publication date: 17 January 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.089

zbMATH Keywords

positive solutionRiccati equationtime scalemeasure chainshalf-linear dynamic equation

Mathematics Subject Classification ID

Related Items (9)

Triple positive solutions of \(m\)-point BVPs for \(p\)-Laplacian dynamic equations on time scales ⋮ The differential equations on time scales through impulsive differential equations ⋮ Periodic boundary value problems for first order dynamic equations on time scales ⋮ Hille-Kneser-type criteria for second-order dynamic equations on time scales ⋮ Philos-type oscillation criteria for second order half-linear dynamic equations on time scales ⋮ Some new dynamic inequalities on time scales ⋮ Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function ⋮ Multiple positive solutions for time scale boundary value problems on infinite intervals ⋮ Bounds for certain new integral inequalities on time scales

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Positive solutions of second order nonlinear differential equations
• Basic calculus on time scales and some of its applications
• Positive solutions of second order nonlinear difference equations
• Oscillation of certain second-order nonlinear differential equations
• Dynamic equations on time scales: A survey
• A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales
• Oscillation criteria for perturbed nonlinear dynamic equations
• Oscillation of second order nonlinear dynamic equations on time scales
• Nonoscillation theorems for a class of quasilinear differential equations of second order
• Inequalities on Time Scales: A Survey
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