Continuous Dependence of Solutions of Quasidifferential Equations with Non-Fixed Time of Impulses

Plotnikov, V.; Kitanov, P.

Serdica Mathematical Journal (1998)

  • Volume: 24, Issue: 2, page 153-162
  • ISSN: 1310-6600

Abstract

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In this article on quasidifferential equation with non-fixed time of impulses we consider the continuous dependence of the solutions on the initial conditions as well as the mappings defined by these equations. We prove general theorems for quasidifferential equations from which follows corresponding results for differential equations, differential inclusion and equations with Hukuhara derivative.

How to cite

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Plotnikov, V., and Kitanov, P.. "Continuous Dependence of Solutions of Quasidifferential Equations with Non-Fixed Time of Impulses." Serdica Mathematical Journal 24.2 (1998): 153-162. <http://eudml.org/doc/11586>.

@article{Plotnikov1998,
abstract = {In this article on quasidifferential equation with non-fixed time of impulses we consider the continuous dependence of the solutions on the initial conditions as well as the mappings defined by these equations. We prove general theorems for quasidifferential equations from which follows corresponding results for differential equations, differential inclusion and equations with Hukuhara derivative.},
author = {Plotnikov, V., Kitanov, P.},
journal = {Serdica Mathematical Journal},
keywords = {Quasidifferential Equation; Impulses; Continuous Dependence; Differential Inclusion; R-Solution; Hukuhara Derivative; quasidifferential equations; continuous dependence; differential inclusion; -solutions; impulses; Hukuhara derivative},
language = {eng},
number = {2},
pages = {153-162},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Continuous Dependence of Solutions of Quasidifferential Equations with Non-Fixed Time of Impulses},
url = {http://eudml.org/doc/11586},
volume = {24},
year = {1998},
}

TY - JOUR
AU - Plotnikov, V.
AU - Kitanov, P.
TI - Continuous Dependence of Solutions of Quasidifferential Equations with Non-Fixed Time of Impulses
JO - Serdica Mathematical Journal
PY - 1998
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 2
SP - 153
EP - 162
AB - In this article on quasidifferential equation with non-fixed time of impulses we consider the continuous dependence of the solutions on the initial conditions as well as the mappings defined by these equations. We prove general theorems for quasidifferential equations from which follows corresponding results for differential equations, differential inclusion and equations with Hukuhara derivative.
LA - eng
KW - Quasidifferential Equation; Impulses; Continuous Dependence; Differential Inclusion; R-Solution; Hukuhara Derivative; quasidifferential equations; continuous dependence; differential inclusion; -solutions; impulses; Hukuhara derivative
UR - http://eudml.org/doc/11586
ER -

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