Opuscula Mathematica
Opuscula Math. 36, no. 4 (), 459-470
Opuscula Mathematica

Some stability conditions for scalar Volterra difference equations

Abstract. New explicit stability results are obtained for the following scalar linear difference equation \[x(n+1)-x(n)=-a(n)x(n)+\sum_{k=1}^n A(n,k)x(k)+f(n)\] and for some nonlinear Volterra difference equations.
Keywords: linear and nonlinear Volterra difference equations, boundedness of solutions, exponential and asymptotic stability.
Mathematics Subject Classification: 34A10, 39A22, 39A30.
Cite this article as:
Leonid Berezansky, Małgorzata Migda, Ewa Schmeidel, Some stability conditions for scalar Volterra difference equations, Opuscula Math. 36, no. 4 (2016), 459-470, http://dx.doi.org/10.7494/OpMath.2016.36.4.459
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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