A Gronwall-like inequality and its applications

Adrian Constantin

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 2, page 111-115
  • ISSN: 1120-6330

Abstract

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A generalized Gronwall-like inequality is established and applied in obtaining a right saturated solution for a class of differential equations and in estimating the solution of an evolution equation for the so called hidden variables.

How to cite

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Constantin, Adrian. "A Gronwall-like inequality and its applications." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.2 (1990): 111-115. <http://eudml.org/doc/244095>.

@article{Constantin1990,
abstract = {A generalized Gronwall-like inequality is established and applied in obtaining a right saturated solution for a class of differential equations and in estimating the solution of an evolution equation for the so called hidden variables.},
author = {Constantin, Adrian},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Gronwall inequality; Hidden variables; Integral equations; Gronwall-like inequality; evolution equation},
language = {eng},
month = {5},
number = {2},
pages = {111-115},
publisher = {Accademia Nazionale dei Lincei},
title = {A Gronwall-like inequality and its applications},
url = {http://eudml.org/doc/244095},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Constantin, Adrian
TI - A Gronwall-like inequality and its applications
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/5//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 2
SP - 111
EP - 115
AB - A generalized Gronwall-like inequality is established and applied in obtaining a right saturated solution for a class of differential equations and in estimating the solution of an evolution equation for the so called hidden variables.
LA - eng
KW - Gronwall inequality; Hidden variables; Integral equations; Gronwall-like inequality; evolution equation
UR - http://eudml.org/doc/244095
ER -

References

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  1. BOURBAKI, N., Eléments de mathématique. Livre IV, Fonctions d'une variable réelle. Hermann & Ce Editeurs, 1951. 
  2. DAY, A. W., Entropy and hidden variables in continuum thermodynamics. Arch. Rational Mech. Anal., 62, 1976, 367-389. Zbl0387.73004MR431968
  3. MORRÒ, A., A Gronwall-like Inequality and its Applications to Continuum Thermodynamics. Bollettino UMI, (6) 1-B, 1982, 553-562. Zbl0498.34036MR666586

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