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
✦ LIBER ✦
About some new generalizations of Bellman–Bihari results for integro-functional inequalities with discontinuous functions and applications
✍ Scribed by Angela Gallo; Anna Maria Piccirillo
- Book ID
- 108216376
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 355 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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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.