On a generalization of the Gronwall-Bellman lemma in partially ordered Banach spaces
Jagdish Chandra,B.A. Fleishman +1 more
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1970-09-01 and is currently open access. It has received 36 citations till now. The article focuses on the topics: Aubin–Lions lemma & Lemma (mathematics).read more
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Abstract comparison principles and multivariable Gronwall-Bellman inequalities
TL;DR: On demontre deux resultats de comparaison contenant des auto-applications croissantes d'un espace uniforme metrisable.
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Integral Inequalities of Gronwall-Bellman-Bihari Type and Asymptotic Behavior of Certain Second Order Nonlinear Differential Equations
TL;DR: In this paper, integral inequalities similar to Gronwall-Bellmann-Bihari inequalities are obtained to discuss the asymptotic behavior of certain second order nonlinear differential equations.
Journal ArticleDOI
Linear generalizations of Gronwall’s inequality
Jagdish Chandra,Paul Davis +1 more
TL;DR: A variety of linear generalizations of Gronwall's inequality, including recent multivariable results of D. R. Snow and E. C. Young, are subsumed and extended by simple arguments involving the resolvent kernel of the integral operator as discussed by the authors.
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Some generalizations of Bellman-Bihari integral inequalities
U.D Dhongade,S.G Deo +1 more
References
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Book
Theory of Ordinary Differential Equations
TL;DR: The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable as discussed by the authors, which is a useful text in the application of differential equations as well as for the pure mathematician.
Book
Differential and Integral Inequalities
TL;DR: In this article, the author's mono graph "Differential- und integral-un gleichungen," with the subtitle "und ihre Anwendung bei Abschatzungs und Eindeutigkeitsproblemen" was published.