Nonlinear Differential Equations with “Maxima”: Parametric Stability in Terms of two Measures

Authors

Martin J. Bohner, Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA
Atanaska T. Georgieva
Snezhana G. Hristova

Author Country (or Countries)

USA

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.

Suggested Reviewers

N/A

Recommended Citation

J. Bohner, Martin; T. Georgieva, Atanaska; and G. Hristova, Snezhana (2013) "Nonlinear Differential Equations with “Maxima”: Parametric Stability in Terms of two Measures," Applied Mathematics & Information Sciences: Vol. 07: Iss. 1, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/5