Initial problems for neutral functional differential equations with unbounded delay-Reference-Cited by-同舟云学术

Initial problems for neutral functional differential equations with unbounded delay

Published:2003-08-01 Issue:3 Volume:40 Page:309-326
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
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Author:

Kamont Z.¹

Affiliation:

1. 1 Politechnika Gdańska, Wydział Fizyki Techniczne, I Matematyki Stosowanej Instytut Matematyki Ul. Gabriela Narutowicza 11/12, Pl-80-952 Gdańsk-Wrzeszcz, Poland

Abstract

General theorems on the existence, uniqueness and convergence of successive approximations for classical solutions of the Cauchy problem are given. Results are based on a comparison method and on the axiomatic approach to equations with unbounded delay. The nonlinear comparison operator is investigated. Examples of nonlinear comparison problems and phase spaces are given.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.40.2003.3.5

Reference12 articles.

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4. Sur une procéde de prouver la convergence des approximations successives sans utilisation des séries des comparison;T. Waźwski;Bull. Acad. Polon. Sci., Ser. sci, math. astr. phys,1960

5. Theorems on the existence an uniqueness of solutions of functional differential equations with hereditary dependence, (Russian);L. Źyvotovskii;Differen. Urav.,1971

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