Quantitative bounds for general Razumikhin-type functional differential inequalities with applications

Title: Quantitative bounds for general Razumikhin-type functional differential inequalities with applications
Creator: Zhao, Xueyan; Fu, Minyue; Deng, Feiqi; Yang, Qigui
Relation: Communications in Nonlinear Science and Numerical Simulation Vol. 86, Issue July 2020, no. 105253
Publisher Link: http://dx.doi.org/10.1016/j.cnsns.2020.105253
Publisher: Elsevier
Resource Type: journal article
Date: 2020
Description: This paper proposes the concept of Razumikhin-type functional differential inequalities and points out that certain quantitative properties can be established for the Razumikhin-type functional differential inequalities. By virtue of certain auxiliary functions, some fundamental results on the quantitative bounds for the Razumikhin-type functional differential inequalities are systemically established in the paper, and these bounds are applied to deduce the basic Razumikhin-type stability theorems, including those for Ito^ stochastic functional differential equations. Two examples are given to illustrate the application of the established quantitative properties and to verify the effectiveness of our approach.
Subject: Razumikhin-type theorems; functional differential inequalities; stability; stochastic functional differential equations
Identifier: http://hdl.handle.net/1959.13/1463266
Identifier: uon:46687
Identifier: ISSN:1007-5704
Language: eng
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