A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper deals with a generalized form of nonlinear retarded Gronwall-Bellman type integral inequality in which the maximum of the unknown function of two variables is involved.
This form includes both a nonconstant term outside the integrals and more than one distinct nonlinear integrals.
Requiring neither monotonicity nor separability of given functions, we apply a technique of monotonization to estimate the unknown function.
Our result can be used to weaken conditions for some known results.
We apply our result to a boundary value problem of a partial differential equation with maxima for uniqueness.
American Psychological Association (APA)
Yan, Yong. 2013. A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503507
Modern Language Association (MLA)
Yan, Yong. A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-503507
American Medical Association (AMA)
Yan, Yong. A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503507
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503507