In this paper, we investigate a property of linear differential equations where the initial state is described by a vector of fuzzy numbers. The property is related directly to the matrix defining the original nonfuzzy system by passing to a complex number representation of the a-level sets of the f
Linear functional differential equations with Property A
β Scribed by M.K. Grammatikopulos; R. Koplatadze; G. Kvinikadze
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 165 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In the paper the general linear functional differential equation with several distributed deviations is considered. Sufficient conditions for the equation to have Property A (see Definition 1.2 below) are established. The obtained results are new even for Eq. (1.4).
π SIMILAR VOLUMES
We consider a system of linear partial neutral functional differential equations with nondense domain. A natural generalized notion of solutions is provided by the integral solutions. We derive a variation-of-constants formula which allows us to transform the integral solutions of the neutral equati