English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

. This paper study the stability of moving invariant manifolds of nonlinear impulsiveintegro-dierential equations. The obtain results are based on the method of piecewise continuousLyapunov’s functions and the comparison principle.Key words. Uncertain impulsive integro-dierential system, moving invariant manifold, stabil-ity theoryAMS subject classications. 34A37 1. Preliminary notes. Impulsive integro-dierential equations arise naturallyfrom a wide variety of applications such as aircraft control, inspection process inoperations research, drug administration, and threshold theory in biology. There hasbeen a signicant development in the theory of impulsive dierential equations in thelast years [1–3].Now there also exist a well developed qualitative theory for impulsive integro-dierential equations [7, 8].The ecient applications of impulsive integro-dierential equations to mathemat-ical simulation request the nding of criteria for stability of their solutions.In this paper we use piecewise continuous Lyapunov’s functions to study thestability of moving invariant manifolds for general class of uncertain impulsive integro-dierential equations. In the few publications dedicated to the subject of movinginvariant manifold for dierential equations without impulses, earlier works were doneby [5, 6-7, 10].Our results are obtained by means of the comparison principle which permitsus to reduce the study of impulsive integro-dierential equations to the study of ascalar dierential equation.Let R

Impulsive Intergo-differential Equations and Stability of Moving Invariant Manifolds