Extremal solutions of second order impulsive dynamic equations on time scales

DOI10.1016/j.jmaa.2005.12.028zbMath1112.34007OpenAlexW1982859293MaRDI QIDQ855649

Mouffak Benchohra, Sotiris K. Ntouyas, Abdelghani Ouahab

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.028

zbMATH Keywords

existencefixed-pointimpulsive equationsextremal solutionstime scale

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Discrete version of topics in analysis (39A12)

Related Items (19)

Oscillation Criteria for Second Order Impulsive Delay Dynamic Equations on Time Scale ⋮ Existence of positive solutions for second-order impulsive boundary value problems on time scales ⋮ On positive solutions of \(m\)-point boundary value problems for \(p\)-Laplacian impulsive dynamic equations on time scales ⋮ Periodic boundary value problems for first-order impulsive dynamic equations on time scales ⋮ Existence of positive solutions for \(p\)-Laplacian impulsive boundary value problems on time scales ⋮ Unnamed Item ⋮ Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales ⋮ Minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval ⋮ Stability criteria of delay impulsive systems on time scales ⋮ Multiple positive solutions of n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales ⋮ Periodic boundary value problems for first order dynamic equations on time scales ⋮ Multiple positive solutions for singular periodic boundary value problems of impulsive differential equations in Banach spaces ⋮ Existence of positive solutions for nonlinear third-order \(m\)-point impulsive boundary-value problems on time scales ⋮ Variational approach to second-order impulsive dynamic equations on time scales ⋮ Oscillation criteria for second order nonlinear dynamic equations with impulses ⋮ On dynamic equations with deviating arguments ⋮ Positive solutions to nonlinear first-order impulsive dynamic equations on time scales ⋮ Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales ⋮ Some remark on oscillation of second order impulsive delay dynamic equations on time scales

Cites Work

• Existence results for second order boundary value problem of impulsive dynamic equations on time scales
• On First Order Impulsive Dynamic Equations on Time Scales
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