Differential inequalities for hysteresis systems. (1996)

• Record Type: Journal Article
• Authors: Chernorutskii, Vladimir V.; Krasnosel'skii, Mark A.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 9:Number 4(1996)
• Page Start: 459
• Page End: 468
• Publication Date: 1996
• Subjects: differential inequality -- hysteresis nonlinearity -- state space -- monotonicity -- initial value problem; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953396000408
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The theory of differential inequalities is extended to functional-differential equations with hysteresis nonlinearities. A key feature is the existence of a semiorder of the state space of nonlinearity and a special monotonicity of the righthand side of differential inequality. This article is dedicated to the memory of Roland L. Dobrushin.