ULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY

Donal O'Regan

doi:10.12732/dsa.v28i1.3

ULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper a system with state dependent bounded delay and non-instantaneous impulses is considered. An existence result based on the Banach contraction principle is given. Several sufficient conditions for Ulam-type stability are obtained. An example is given to illustrate our results.

Original language	English (Ireland)
Number of pages	15
Journal	Dynamic Systems And Applications
Volume	28
DOIs	https://doi.org/10.12732/dsa.v28i1.3
Publication status	Published - 1 Jan 2019

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, R,Hristova, S,O'regan, D
Agarwal, R;Hristova, S;O'regan, D

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10.12732/dsa.v28i1.3

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title = "ULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY",

abstract = "In this paper a system with state dependent bounded delay and non-instantaneous impulses is considered. An existence result based on the Banach contraction principle is given. Several sufficient conditions for Ulam-type stability are obtained. An example is given to illustrate our results.",

author = "Donal O'Regan",

year = "2019",

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doi = "10.12732/dsa.v28i1.3",

language = "English (Ireland)",

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N2 - In this paper a system with state dependent bounded delay and non-instantaneous impulses is considered. An existence result based on the Banach contraction principle is given. Several sufficient conditions for Ulam-type stability are obtained. An example is given to illustrate our results.

AB - In this paper a system with state dependent bounded delay and non-instantaneous impulses is considered. An existence result based on the Banach contraction principle is given. Several sufficient conditions for Ulam-type stability are obtained. An example is given to illustrate our results.

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DO - 10.12732/dsa.v28i1.3

M3 - Article

VL - 28

JO - Dynamic Systems And Applications

JF - Dynamic Systems And Applications

ER -

ULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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