Existence results for periodic solutions of integro-dynamic equations on time scales

DOI10.1007/s10231-008-0088-zzbMath1176.45008OpenAlexW2031921956MaRDI QIDQ842506

Youssef N. Raffoul, Murat Adivar

Publication date: 25 September 2009

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-008-0088-z

zbMATH Keywords

periodic solutionVolterra integral equationdynamic equationSobolev's inequalitySchaefer's fixed point theoremLyapunov's direct methodperiodic time scale

Mathematics Subject Classification ID

Periodic solutions of integral equations (45M15) Systems of nonlinear integral equations (45G15) Dynamic equations on time scales or measure chains (34N05)

Related Items (19)

Existence of periodic solutions of dynamic equations on time scales by averaging ⋮ Convex optimization on mixed domains ⋮ On some nonlinear retarded Volterra-Fredholm type integral inequalities on time scales and their applications ⋮ Stability criteria for Volterra integrodynamic system ⋮ Floquet theory for a Volterra integro-dynamic system ⋮ Qualitative results for nonlinear integro-dynamic equations via integral inequalities ⋮ Nonlinear retarded integral inequalities on time scales and their applications ⋮ Qualitative analysis of dynamic equations on time scales using Lyapunov functions ⋮ A connection between almost periodic functions defined on timescales and ℝ ⋮ A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications ⋮ Periodicity on isolated time scales ⋮ Almost automorphic solutions of dynamic equations on time scales ⋮ Unnamed Item ⋮ Periodic solutions in shifts \(\delta_\pm\) for a nonlinear dynamic equation on time scales ⋮ Controllability, observability, and stability of a Volterra integro-dynamic system on time scales ⋮ Semigroups on time scales and applications to abstract Cauchy problems ⋮ Some new half-linear integral inequalities on time scales and applications ⋮ HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS ⋮ A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales

Cites Work

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• Periodic solutions of neutral nonlinear system of differential equations with functional delay
• Nonlinear integrodifferential equations and a priori bounds on periodic solutions
• Periodicity and stability of linear Volterra difference systems
• Double integral calculus of variations on time scales
• Boundedness in functional dynamic equations on time scales
• Periodic solutions of functional dynamic equations with infinite delay
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Über die Methode der a priori-Schranken
• Boundedness and Uniqueness of Solutions to Dynamic Equations on Time Scales
• The Beverton–Holt dynamic equation

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