Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay

We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem. We prove a theorem on the global convergence of successive approximations to a unique solu...

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Bibliographic Details
Main Author: Tomasz Człapiński
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2014-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3420.pdf