PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES

DOI10.1017/S0017089511000073zbMath1235.34238OpenAlexW2124006917MaRDI QIDQ3094635

Murat Adivar

Publication date: 25 October 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089511000073

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Dynamic equations on time scales or measure chains (34N05)

Related Items (8)

Stability criteria for Volterra integrodynamic system ⋮ Floquet theory for a Volterra integro-dynamic system ⋮ Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains ⋮ Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales ⋮ Controllability, observability, and stability of a Volterra integro-dynamic system on time scales ⋮ An optimal machine maintenance problem with probabilistic state constraints ⋮ Linear impulsive Volterra integro-dynamic system on time scales ⋮ Stability and controllability for Volterra integro-dynamical matrix Sylvester impulsive system on time scales

Cites Work

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• Stability in neutral nonlinear differential equations with functional delays using fixed-point theory
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling
• Periodicity and stability of linear Volterra difference systems
• Uniform asymptotic stability in nonlinear Volterra discrete systems
• Perturbation theory for Volterra integrodifferential systems
• Fixed points, Volterra equations, and Becker's resolvent
• Stability Properties of Linear Volterra Discrete Systems with Nonlinear Perturbation
• Integral equations, Volterra equations, and the remarkable resolvent: contractions
• The exponential of a constant matrix on time scales
• Principal matrix solutions and variation of parameters for a Volterra integro-differential equation and its adjoint
• EXISTENCE OF RESOLVENT FOR VOLTERRA INTEGRAL EQUATIONS ON TIME SCALES

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