Generalized solutions of first order partial differential functional inequalities

Wojciech Czernous

Commentationes Mathematicae (2006)

  • Volume: 46, Issue: 1
  • ISSN: 2080-1211

Abstract

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The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.

How to cite

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Wojciech Czernous. "Generalized solutions of first order partial differential functional inequalities." Commentationes Mathematicae 46.1 (2006): null. <http://eudml.org/doc/291492>.

@article{WojciechCzernous2006,
abstract = {The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.},
author = {Wojciech Czernous},
journal = {Commentationes Mathematicae},
keywords = {initial boundary value problems; partial functional differential inequalities; Carathéodory solutions; uniqueness; bicharacteristics},
language = {eng},
number = {1},
pages = {null},
title = {Generalized solutions of first order partial differential functional inequalities},
url = {http://eudml.org/doc/291492},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Wojciech Czernous
TI - Generalized solutions of first order partial differential functional inequalities
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 1
SP - null
AB - The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
LA - eng
KW - initial boundary value problems; partial functional differential inequalities; Carathéodory solutions; uniqueness; bicharacteristics
UR - http://eudml.org/doc/291492
ER -

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