Existence and uniqueness of the solution of the generalized initial Cauchy problem for some nonlinear integro-differential equations in a Banach space

Vasil G. Angelov; Drumi Dimitrov Bajnov

Archivum Mathematicum (1979)

  • Volume: 015, Issue: 4, page 185-192
  • ISSN: 0044-8753

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Angelov, Vasil G., and Bajnov, Drumi Dimitrov. "Существование и единственность решения обобщенной начальной задачи Коши для некоторых нелинейных интегро-дифференциальных уравнений в Банаховом пространстве." Archivum Mathematicum 015.4 (1979): 185-192. <http://eudml.org/doc/18006>.

@article{Angelov1979,
author = {Angelov, Vasil G., Bajnov, Drumi Dimitrov},
journal = {Archivum Mathematicum},
keywords = {accretive operators; existence; uniqueness; continuous dependence; initial value problems; nonlinear equations in Banach space},
language = {rus},
number = {4},
pages = {185-192},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Существование и единственность решения обобщенной начальной задачи Коши для некоторых нелинейных интегро-дифференциальных уравнений в Банаховом пространстве},
url = {http://eudml.org/doc/18006},
volume = {015},
year = {1979},
}

TY - JOUR
AU - Angelov, Vasil G.
AU - Bajnov, Drumi Dimitrov
TI - Существование и единственность решения обобщенной начальной задачи Коши для некоторых нелинейных интегро-дифференциальных уравнений в Банаховом пространстве
JO - Archivum Mathematicum
PY - 1979
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 015
IS - 4
SP - 185
EP - 192
LA - rus
KW - accretive operators; existence; uniqueness; continuous dependence; initial value problems; nonlinear equations in Banach space
UR - http://eudml.org/doc/18006
ER -

References

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  1. Krivocheine L. E., Leung K. V., Mangeron D., Oguztöreli M. N., Sur une nouvelle extension du problème de Cauchy pour certains systèmes integrodifferentielle non linèares, Acad. roy. Belgique, Bull. Cl. Sci., V. Ser. 60, 28-35 (1974). (1974) MR0352918
  2. Lovelady D., Martin R., A global existence theorem for a nonautonomous differential equation in a Banach space, Proc. Amer. Math. Soc. 35 (1972), 445-449. (1972) Zbl0222.34059MR0303035
  3. Webb G. F., Accretive operators and existence for nonlinear functional differential equations, J. Differential Equations 14 (1973), Num. 1. (1973) Zbl0243.34122MR0346265
  4. Дьедонне Ж., Yвod в cоbpeмeнния aнализ, Hayкa и изкуство, Coфия 1972. (1972) 

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