Open AccessSome stability conditions for scalar Volterra difference equations
Author(s) -
Leonid Berezansky,
Małgorzata Migda,
Ewa Schmeidel
Publication year - 2016
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2016.36.4.459
Subject(s) - mathematics , volterra equations , scalar (mathematics) , volterra integral equation , stability (learning theory) , mathematical analysis , nonlinear system , integral equation , geometry , physics , computer science , quantum mechanics , machine learning
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
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