Razumikhin technique for boundedness of the solutions of impulsive integrodifferential equations
โ Scribed by S.G. Hristova; L.F. Roberts
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 526 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
This paper investigates uniform boundedness of solutions of nonlinear impulsive integrodifferential equations. The Razumikhin technique using piecewise continuous Lyapunov functions is applied. The boundedness in both cases of fixed and variable moments are studied. The obtained sufficient conditions significantly depend on the moments of impulses.
๐ SIMILAR VOLUMES
Employing the generalized quasilinearization for nonlinear reaction-diffusion equations, existence of positive bounded solution is proved. (~) 1998 Elsevier Science B.V. All fights reserved.
In this paper, by using Lyapunov functions and Razumikhin techniques, the stability of impulsive functional differential equations is investigated. The obtained results avoid the difficulty of constructing a P function in Razumikhin's condition and they generalize and improve the existing theorems.
In this paper, by using the Leray-Schauder alternative, we have investigated the existence of mild solutions to first-order impulsive partial functional integrodifferential equations with nonlocal conditions in an ฮฑ-norm. We assume that the linear part generates an analytic compact bounded semigroup