Opuscula Math. 34, no. 2 (2014), 327-338
Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay
Tomasz Człapiński
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.
Keywords:
successive approximations, Darboux problem, infinite delay.
Mathematics Subject Classification:
35R10.
About the authors ▼
Tomasz Człapiński
University of Gdansk, Institute of Mathematics, Wita Stwosza 57, 80-952 Gdansk, Poland
About the article ▼
Received: 2012-10-25.
Revised: 2014-02-09.
Accepted: 2014-02-21.
Cite this article as ▼
Tomasz Człapiński, Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay, Opuscula Math. 34, no. 2 (2014), 327-338,
http://dx.doi.org/10.7494/OpMath.2014.34.2.327.
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