On a method for solving a convolution-type equation with the use of difference equations

2011 ◽  
Vol 47 (6) ◽  
pp. 892-895
Author(s):  
O. V. Gun’ko ◽  
V. V. Sulima
Keyword(s):  
Difference Equations ◽  
Type Equation ◽  
Convolution Type ◽  
Convolution Type Equation

scholarly journals On estimations of solutions of one convolution type equation

2013 ◽  
Vol 5 (1) ◽  
pp. 30-35
Author(s):  
B.V. Vynnytskyi ◽  
V.M. Dilnyi
Keyword(s):  
Analytic Continuation ◽  
Type Equation ◽  
Convolution Type ◽  
Smirnov Space ◽  
Convolution Type Equation

We consider a convolution type equation in a semi-strip for the functions belonging to the Hardy-Smirnov space. Estimations of solutions are obtained in terms of analytic continuation.

scholarly journals Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Janusz Migda ◽  
Małgorzata Migda ◽  
Magdalena Nockowska-Rosiak
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Existence Of Solutions ◽  
Asymptotic Properties ◽  
Sufficient Conditions ◽  
Type Equation ◽  
Asymptotic Behavior Of Solutions ◽  
Volterra Type ◽  
Order Difference ◽  
Prescribed Asymptotic Behavior

We consider the discrete Volterra type equation of the form Δ(rnΔxn)=bn+∑k=1nK(n,k)f(xk). We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions. We use o(ns), for given nonpositive real s, as a measure of approximation.

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