Some stability conditions for scalar Volterra difference equations

DOI10.7494/OpMath.2016.36.4.459zbMath1343.39030OpenAlexW2332573623MaRDI QIDQ2809650

Małgorzata Migda, Leonid Berezansky, Ewa Schmeidel

Publication date: 30 May 2016

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2016.36.4.459

zbMATH Keywords

stabilitynumerical exampleexponential stabilityboundedness of solutionslinear Volterra difference and differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Linear integral equations (45A05) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items

Unnamed Item, Asymptotically ordinary linear Volterra difference equations with infinite delay, Conditional stability and asymptotic behavior of solutions of weakly delayed linear discrete systems in \(\mathbb{R}^2\), Exponential stability of integro-differential Volterra equation on time scales, Exponentially stable solution of mathematical model of agents dynamics on time scales, Asymptotic properties of solutions to second-order difference equations of Volterra type, Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations, On the asymptotic behavior of solution of certain systems of Volterra equations, Solvability of the class of two-dimensional product-type systems of difference equations of delay-type \((1,3,1,1)\), Bounded solutions to nonhomogeneous linear second-order difference equations

Cites Work

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