GRONWALL-BELLMAN TYPE INTEGRAL-INEQUALITIES FOR ABSTRACT LEBESGUE INTEGRAL

Authors
GYORI I HORVATH L
Citation
I. Gyori et L. Horvath, GRONWALL-BELLMAN TYPE INTEGRAL-INEQUALITIES FOR ABSTRACT LEBESGUE INTEGRAL, Mathematical and computer modelling, 25(1), 1997, pp. 51-58
Citations number
16
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
25
Issue
1
Year of publication
1997
Pages
51 - 58
Database
ISI
SICI code
0895-7177(1997)25:1<51:GTIFAL>2.0.ZU;2-Y
Abstract
In this paper, we consider Gronwall-Bellman type integral inequalities and the corresponding integral equations for scalar functions of seve ral variables involving abstract Lebesque integrals. Some delay and ad vance effects are also included. Since the inequalities and the equati ons are in a general form, the results may have different applications .