Title of article :
Existence and estimate of solutions of some
nonlinear Volterra difference equations
in Hilbert spaces ✩
Author/Authors :
Crist?bal Gonz?lez ?، نويسنده , , Antonio Jiménez-Melado، نويسنده , , Mar?a Lorente، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2005
Abstract :
In this paper we consider the Volterra difference equation
xn −fn =−
n
k=0
an−kGk(xk),
in the context of Hilbert spaces and give sufficient conditions so that the solutions exist and show a
bounded behavior.
2004 Elsevier Inc. All rights reserved
Keywords :
Volterra difference equation , Hilbert spaces , Fixed points
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications