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- Title
GLOBAL CONVERGENCE OF SUCCESSIVE APPROXIMATIONS OF THE DARBOUX PROBLEM FOR PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY.
- Authors
Człapiński, Tomasz
- Abstract
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 solution of the Darboux problem.
- Subjects
STOCHASTIC convergence; APPROXIMATION theory; DARBOUX transformations; PROBLEM solving; NUMERICAL solutions to partial differential equations; NUMERICAL solutions to functional differential equations
- Publication
Opuscula Mathematica, 2014, Vol 34, Issue 2, p327
- ISSN
1232-9274
- Publication type
Article
- DOI
10.7494/OpMath.2014.34.2.327