### Details

#### Title

Stability of nonlinear Volterra equations#### Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences#### Yearbook

2017#### Volume

65#### Numer

No 3#### Authors

#### Divisions of PAS

Nauki Techniczne#### Coverage

333-340#### Date

2017#### References

Elaydi (2009), Stability and asymptoticity of Volterra difference equations : A progress report, Comput Appl Math, 228. ; Kolmanovskii (2003), A survey : stability and boundedness of Volterra difference equations Nonlinear, Anal, 53, 861. ; Hinrichsen (1988), Stability radii of positive discrete - time equations under affine parameter perturbations Robust Nonlinear Control, Internat, 8, 1169. ; Burlando (1988), Continuity of spectrum and spectral radius in algebras of operators Toulouse, Math, 9, 5. ; Elaydi (1996), Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type Difference, Appl, 2, 401. ; Eloe (2003), Uniform asymptotic stability in nonlinear Volterra discrete equations, Comput Math Appl, 45, 1033. ; Zhou (2009), A new criterion to global exponential periodicity for discrete - time BAM neural network with infinite delays, Chaos Solitons Fractals, 39, 332. ; Ngoc (2013), New criteria for exponential stability of nonlinear difference systems with time - varying delay Control No, Internat, 86, 1646. ; Crisci (1998), Stability of difference Volterra equations : direct Liapunov method and numerical procedure, Comput Math Appl, 36, 77. ; Crisci (2000), On the exponential stability of discrete Volterra equations Difference, Appl, 6, 667. ; Song (2004), Perturbation of Volterra difference equations Difference, Appl, 10, 379. ; Levinson (1960), A nonlinear Volterra equation arising in the theory of superfluidity, Math Anal Appl, 1, 1. ; Levin (1968), The integrodifferential equations of a class of nuclear reactors with delayed neutrons, Arch Ration Mech Anal, 31, 151. ; Raffoul (2003), Boundedness and stability in nonlinear discrete dystems with nonlinear perturbation Difference, Appl, 9, 853. ; Ngoc (2008), Stability and robust stability of positive linear Volterra difference equations Robust Nonlinear Control, Internat, 19, 552. ; Mann (1951), Heat transfer between solids and gases under nonlinear boundary conditions, Quart Appl Math, 9, 163. ; Li (2012), Global stability for discrete Cohen - Grossberg neural networks with finite and infinite delays, Appl Math Lett, 25, 2246. ; Appleby (2006), On exact convergence rates for solutions of linear systems of Volterra difference equations Difference, Appl, 12, 1257. ; Cuevas (2013), Boundedness properties for Volterra difference equations, Appl Math Comput, 219. ; Gyori (2010), On admissibility of the resolvent of discrete Volterra equations Difference, Appl, 16, 1393.#### DOI

10.1515/bpasts-2017-0037