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About new analogies of Gronwall–Bellman–Bihari type inequalities for discontinuous functions and estimated solutions for impulsive differential systems

✍ Scribed by A. Gallo; A.M. Piccirillo

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
256 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this article we present new integral Gronwall-Bellman-Bihari type inequalities for discontinuous functions (integro-sum inequalities). As applications, we investigate estimated solutions for impulsive differential systems, conditions of boundedness, stability, practical stability.

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✍ Yu.A. Mitropolskiy; G. Iovane; S.D. Borysenko 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 320 KB

In the present paper we introduce the conditions of solvability for Chaplygin's problem with discontinuous functions in two independent variables, satisfying integro-sum inequalities. The new type of nonlinear integral and Wendroff's inequality for discontinuous functions are investigated. As applic