Integro-sum inequalities and motion stability of systems with impulse perturbations

  • Borysenko S
  • Ciarletta M
  • Iovane G
  • 5

    Readers

    Mendeley users who have this article in their library.
  • 21

    Citations

    Citations of this article.

Abstract

This article is devoted to the investigation of the properties of motion represented by essential nonlinear system of differential equations with impulse effect. The results, based on the solvability problem by S.A. Chaplygin for discontinuous functions, satisfy "integro-sum" inequalities. The conditions of boundedness, stability, asymptotical stability, practical stability, attraction motion for different kinds of nonlinearities of systems are obtained. © 2005 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Differential equations
  • Impulse influence
  • Integro-sum inequalities

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • S. D. Borysenko

  • M. Ciarletta

  • G. Iovane

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free