Nonlinear Differential Equations with "maxima": Parametric Stability in Terms of Two Measures

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Atanaska T. Georgieva
Snezhana G. Hristova

Abstract

This paper investigates parametric stability for nonlinear differential equations with "maxima". Several sufficient conditions for parametric stability as well as uniform parametric stability are obtained based on the Razumikhin method. Two different types of Lyapunov functions have been applied. A comparison with scalar ordinary differential equations is offered. © 2013 NSP. Natural Sciences Publishing Cor.

Recommended Citation

M. Bohner et al., "Nonlinear Differential Equations with "maxima": Parametric Stability in Terms of Two Measures," Applied Mathematics and Information Sciences, vol. 7, no. 1, pp. 41 - 48, Naturals Publishing, Jan 2013.

The definitive version is available at https://doi.org/10.12785/amis/070105

Department(s)

Mathematics and Statistics

Keywords and Phrases

Differential equations; Lyapunov functions; Maximum of the unknown function; Parametric stability; Razumikhin method

International Standard Serial Number (ISSN)

1935-0090

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Naturals Publishing, All rights reserved.

Publication Date

01 Jan 2013