Linear distributional differential equations in the space of regulated functions

Martin Pelant; Milan Tvrdý

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 4, page 379-400
  • ISSN: 0862-7959

Abstract

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In the paper existence and uniqueness results for the linear differential system on the interval [0,1] A 1 ( A 0 x ) ' - A 2 ' x = f ' with distributional coefficients and solutions from the space of regulated functions are obtained.

How to cite

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Pelant, Martin, and Tvrdý, Milan. "Linear distributional differential equations in the space of regulated functions." Mathematica Bohemica 118.4 (1993): 379-400. <http://eudml.org/doc/29312>.

@article{Pelant1993,
abstract = {In the paper existence and uniqueness results for the linear differential system on the interval [0,1] $A_1(A_0x)^\{\prime \}-A^\{\prime \}_2x=f^\{\prime \}$ with distributional coefficients and solutions from the space of regulated functions are obtained.},
author = {Pelant, Martin, Tvrdý, Milan},
journal = {Mathematica Bohemica},
keywords = {Perron-Stieltjes integral; Kurzweil integral; distributional coefficients; regulated functions; generalized linear differential equation; existence; uniqueness; variation-of-constants formula; distribution; Perron-Stieltjes integral; Kurzweil integral; distributional coefficients; regulated functions; generalized linear differential equation; existence; uniqueness; variation-of-constants formula},
language = {eng},
number = {4},
pages = {379-400},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Linear distributional differential equations in the space of regulated functions},
url = {http://eudml.org/doc/29312},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Pelant, Martin
AU - Tvrdý, Milan
TI - Linear distributional differential equations in the space of regulated functions
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 4
SP - 379
EP - 400
AB - In the paper existence and uniqueness results for the linear differential system on the interval [0,1] $A_1(A_0x)^{\prime }-A^{\prime }_2x=f^{\prime }$ with distributional coefficients and solutions from the space of regulated functions are obtained.
LA - eng
KW - Perron-Stieltjes integral; Kurzweil integral; distributional coefficients; regulated functions; generalized linear differential equation; existence; uniqueness; variation-of-constants formula; distribution; Perron-Stieltjes integral; Kurzweil integral; distributional coefficients; regulated functions; generalized linear differential equation; existence; uniqueness; variation-of-constants formula
UR - http://eudml.org/doc/29312
ER -

References

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