Nonlinear integral inequality in two independent variables

In this note, the authors obtain a generalization of the integral inequality of Bihari [1] to a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial differential equation is established.

Bibliographic Details
Main Authors:	P. T. Vaz, S. G. Deo
Format:	Article
Language:	English
Published:	Hindawi Limited 1988-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	nonlinear integral inequality submultiplicative function nonlinear partial differential equation.
Online Access:	http://dx.doi.org/10.1155/S016117128800016X

id	doaj-6d5d2297e2804660b1ab4d87cbf18f9b
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spelling	doaj-6d5d2297e2804660b1ab4d87cbf18f9b2020-11-24T23:01:34ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111111511910.1155/S016117128800016XNonlinear integral inequality in two independent variablesP. T. Vaz0S. G. Deo1Department of Mathematics, University Goa, Bambolim 403 001, Goa, IndiaDepartment of Mathematics, University Goa, Bambolim 403 001, Goa, IndiaIn this note, the authors obtain a generalization of the integral inequality of Bihari [1] to a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial differential equation is established.http://dx.doi.org/10.1155/S016117128800016Xnonlinear integral inequalitysubmultiplicative functionnonlinear partial differential equation.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	P. T. Vaz S. G. Deo
spellingShingle	P. T. Vaz S. G. Deo Nonlinear integral inequality in two independent variables International Journal of Mathematics and Mathematical Sciences nonlinear integral inequality submultiplicative function nonlinear partial differential equation.
author_facet	P. T. Vaz S. G. Deo
author_sort	P. T. Vaz
title	Nonlinear integral inequality in two independent variables
title_short	Nonlinear integral inequality in two independent variables
title_full	Nonlinear integral inequality in two independent variables
title_fullStr	Nonlinear integral inequality in two independent variables
title_full_unstemmed	Nonlinear integral inequality in two independent variables
title_sort	nonlinear integral inequality in two independent variables
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1988-01-01
description	In this note, the authors obtain a generalization of the integral inequality of Bihari [1] to a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial differential equation is established.
topic	nonlinear integral inequality submultiplicative function nonlinear partial differential equation.
url	http://dx.doi.org/10.1155/S016117128800016X
work_keys_str_mv	AT ptvaz nonlinearintegralinequalityintwoindependentvariables AT sgdeo nonlinearintegralinequalityintwoindependentvariables
_version_	1725639151017000960

Nonlinear integral inequality in two independent variables

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