The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation

The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation

We consider the Z. Szmydt problem for the hyperbolic functional differential equation. We prove a theorem on existence of a unique classical solution and the Carathéodory solution of the hyperbolic equation.

Bibliographic Details
Main Author: Karpowicz Adrian
Format: Article
Language:English
Published: De Gruyter 2014-12-01
Series:Demonstratio Mathematica
Subjects:
and phrases existence theorem
functional differential equation
hyperbolic equations
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0070/dema-2014-0070.xml?format=INT
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spelling doaj-6a528758eb424f8e8811dee6029029972020-11-24T21:34:07ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-12-0147486687710.2478/dema-2014-0070dema-2014-0070The Existence of a Unique Solution of the Hyperbolic Functional Differential EquationKarpowicz AdrianWe consider the Z. Szmydt problem for the hyperbolic functional differential equation. We prove a theorem on existence of a unique classical solution and the Carathéodory solution of the hyperbolic equation.http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0070/dema-2014-0070.xml?format=INTand phrases existence theoremfunctional differential equationhyperbolic equations
collection DOAJ
language English
format Article
sources DOAJ
author Karpowicz Adrian
spellingShingle Karpowicz Adrian
The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
Demonstratio Mathematica
and phrases existence theorem
functional differential equation
hyperbolic equations
author_facet Karpowicz Adrian
author_sort Karpowicz Adrian
title The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
title_short The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
title_full The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
title_fullStr The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
title_full_unstemmed The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
title_sort existence of a unique solution of the hyperbolic functional differential equation
publisher De Gruyter
series Demonstratio Mathematica
issn 0420-1213
2391-4661
publishDate 2014-12-01
description We consider the Z. Szmydt problem for the hyperbolic functional differential equation. We prove a theorem on existence of a unique classical solution and the Carathéodory solution of the hyperbolic equation.
topic and phrases existence theorem
functional differential equation
hyperbolic equations
url http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0070/dema-2014-0070.xml?format=INT
work_keys_str_mv AT karpowiczadrian theexistenceofauniquesolutionofthehyperbolicfunctionaldifferentialequation
AT karpowiczadrian existenceofauniquesolutionofthehyperbolicfunctionaldifferentialequation
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