Global existence of solutions of certain functional-differential equations

G. G. Hamedani

Časopis pro pěstování matematiky (1981)

  • Volume: 106, Issue: 1, page 48-51
  • ISSN: 0528-2195

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Hamedani, G. G.. "Global existence of solutions of certain functional-differential equations." Časopis pro pěstování matematiky 106.1 (1981): 48-51. <http://eudml.org/doc/19111>.

@article{Hamedani1981,
author = {Hamedani, G. G.},
journal = {Časopis pro pěstování matematiky},
keywords = {functional-differential equations; Lipschitz condition; existence of a unique solution; Banach contraction principle},
language = {eng},
number = {1},
pages = {48-51},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Global existence of solutions of certain functional-differential equations},
url = {http://eudml.org/doc/19111},
volume = {106},
year = {1981},
}

TY - JOUR
AU - Hamedani, G. G.
TI - Global existence of solutions of certain functional-differential equations
JO - Časopis pro pěstování matematiky
PY - 1981
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 106
IS - 1
SP - 48
EP - 51
LA - eng
KW - functional-differential equations; Lipschitz condition; existence of a unique solution; Banach contraction principle
UR - http://eudml.org/doc/19111
ER -

References

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  1. A. Bielicki, Une remarque sur le methode de Banach-Cacciopoli-Tikhonov dans la theorie des equations differentielles ordinaires, Bull. Acad. Polon. Sci. 4, 1956, pp. 261-264. (1956) MR0082073
  2. S. C. Chu, J. B. Diaz, A fixed point theorem for ,,in large" applications of the contraction principle, A.D.Ac, di Torino, Vol. 99 (1964-1965), pp. 351-363. (1964) MR0177317
  3. St. Czerwik, On a differential equation with deviating argument, Comment. Math, (to appear). Zbl0352.34055MR0454242
  4. St. Czerwik, On the global existence of solutions of a functional-differential equation, Periodica Math. Hung. Vol. 6 (4), (1975), pp. 347-351. (1975) Zbl0322.34050MR0470408
  5. W. Derrick, L. Janos, A global existence and uniqueness theorem for ordinary differential equations, Canad. Math. Bull., Vol. 19 (1), (1976), pp. 105-107. (1976) Zbl0344.34002MR0422730
  6. D. Driver, Existence and continuous dependence of solutions of a neutral functional-differential equation, Arch. Rational Mech. Anal. 19 (1965), 149-166. MR 31 #3654. (1965) Zbl0148.05703MR0179406
  7. M. Kwapisz, On certain differential equations with deviated argument, Prace Mat. 12 (1968), 23-29, MR 38 #3550. (1968) Zbl0247.34075MR0235240

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