Generalized Cauchy problems for hyperbolic functional differential systems

Elżbieta Puźniakowska-Gałuch

Annales Polonici Mathematici (2014)

  • Volume: 110, Issue: 1, page 33-53
  • ISSN: 0066-2216

Abstract

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A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.

How to cite

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Elżbieta Puźniakowska-Gałuch. "Generalized Cauchy problems for hyperbolic functional differential systems." Annales Polonici Mathematici 110.1 (2014): 33-53. <http://eudml.org/doc/280266>.

@article{ElżbietaPuźniakowska2014,
abstract = {A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.},
author = {Elżbieta Puźniakowska-Gałuch},
journal = {Annales Polonici Mathematici},
keywords = {hyperbolic functional differential systems; generalized Cauchy problems; functional integral equations; method of successive approximations},
language = {eng},
number = {1},
pages = {33-53},
title = {Generalized Cauchy problems for hyperbolic functional differential systems},
url = {http://eudml.org/doc/280266},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Elżbieta Puźniakowska-Gałuch
TI - Generalized Cauchy problems for hyperbolic functional differential systems
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 1
SP - 33
EP - 53
AB - A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.
LA - eng
KW - hyperbolic functional differential systems; generalized Cauchy problems; functional integral equations; method of successive approximations
UR - http://eudml.org/doc/280266
ER -

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