Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter

Zdeněk Halas

Mathematica Bohemica (2007)

  • Volume: 132, Issue: 2, page 205-218
  • ISSN: 0862-7959

Abstract

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We present here the problem of continuous dependence for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia (1993) and M. Tvrdý (2002).

How to cite

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Halas, Zdeněk. "Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter." Mathematica Bohemica 132.2 (2007): 205-218. <http://eudml.org/doc/250261>.

@article{Halas2007,
abstract = {We present here the problem of continuous dependence for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia (1993) and M. Tvrdý (2002).},
author = {Halas, Zdeněk},
journal = {Mathematica Bohemica},
keywords = {generalized linear ordinary differential equations; fundamental matrix; continuous dependence on a parameter; emphatic convergence; fundamental matrix},
language = {eng},
number = {2},
pages = {205-218},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter},
url = {http://eudml.org/doc/250261},
volume = {132},
year = {2007},
}

TY - JOUR
AU - Halas, Zdeněk
TI - Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter
JO - Mathematica Bohemica
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 132
IS - 2
SP - 205
EP - 218
AB - We present here the problem of continuous dependence for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia (1993) and M. Tvrdý (2002).
LA - eng
KW - generalized linear ordinary differential equations; fundamental matrix; continuous dependence on a parameter; emphatic convergence; fundamental matrix
UR - http://eudml.org/doc/250261
ER -

References

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  1. On the correctness of linear boundary value problems for systems of generalized ordinary differential equations, Proceedings of the Georgian Academy of Sciences Math. 1 (1993), 385–394. (1993) Zbl0797.34015MR1262572
  2. Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7 (1957), 418–449. (1957) Zbl0090.30002MR0111875
  3. Generalized ordinary differential equations, Czechoslovak Math. J. 8 (1958), 360–388. (1958) Zbl0102.07003MR0111878
  4. Generalized Ordinary Differential Equations, World Scientific, Singapore, 1992. (1992) Zbl0781.34003MR1200241
  5. Differential and Integral Equations: Boundary Value Problems and Adjoints, Academia and D. Reidel, Praha and Dordrecht, 1979. (1979) MR0542283
  6. Boundary value problems for generalized linear differential equations, Czechoslovak Math. J. 29 (1979), 451–477. (1979) MR0536070
  7. Differential and Integral Equations in the Space of Regulated Functions, vol. 25, Memoirs on Differential Equations and Mathematical Physics, 2002, pp. 1–104. (2002) Zbl1081.34504MR1903190
  8. Stieltjes Integral, Lecture notes. [online] Available on http://www.math.cas.cz/tvrdy/teaching.html [cited 16.3.2006]. (Czech) 

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