Volterra theory on time scales

DOI10.1007/s00025-013-0344-4zbMath1295.45001OpenAlexW1997709749MaRDI QIDQ2016016

Başak Karpuz

Publication date: 18 June 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0344-4

zbMATH Keywords

existenceuniquenesstime scalesresolvent kernelVolterra integral equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Real analysis on time scales or measure chains (26E70)

Related Items (21)

On some nonlinear retarded Volterra-Fredholm type integral inequalities on time scales and their applications ⋮ Stability criteria for Volterra integrodynamic system ⋮ Caputo type fractional difference operator and its application on discrete time scales ⋮ Estimates on some power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales ⋮ Some generalized Volterra-Fredholm type dynamical integral inequalities in two independent variables on time scale pairs ⋮ Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales ⋮ A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications ⋮ Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method ⋮ Exponential stability of integro-differential Volterra equation on time scales ⋮ A test for global attractivity of linear dynamic equations with delay ⋮ Controllability, observability, and stability of a Volterra integro-dynamic system on time scales ⋮ Stability and convergence of solutions to Volterra integral equations on time scales ⋮ On the existence and uniqueness of solutions to dynamic equations ⋮ Qualitative analysis of nonlinear Volterra integral equations on time scales using resolvent and Lyapunov functionals ⋮ Some new integral inequalities on time scales ⋮ Analyticity of the complex time scale exponential ⋮ Oscillatory behavior of higher order nonlinear homogeneous neutral delay dynamic equations with positive and negative coefficients ⋮ 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 ⋮ On Volterra integral equations on time scales

Cites Work

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• Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients
• Basics of Riemann Delta and Nabla Integration on Time Scales
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• Volterra integral and differential equations
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