This is a preview of subscription content, log in via an institution to check access.
References
A. Bielecki, Une remarque sur la méthode de Banach-Caccioppoli-Tikhonov dans la théorie des équations différentielles ordinaires,Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 4 (1956), 261–264.Zbl 70, 81
S. Czerwik, On a differential equation with deviating argument,Comment. Math. (to appear).
S. Doss andS. K. Nasr, On the functional equationdy/dx=f(x,y(x), y(x+h)), h>0, Amer. J. Math. 75 (1953), 713–716.MR 15-324
R. 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
M. Kwapisz, On certain differential equations with deviated argument,Prace Mat. 12 (1968), 23–29.MR 38 # 3550
L. A. Liusternik andV. J. Sobolev,Elements of functional analysis, Frederick Ungar Publishing Co., New York, 1961, ix + 227 pp., p. 27.MR 25 # 5361
R. J. Oberg, On the local existence of solutions of certain functional-differential equations,Proc. Amer. Math. Soc. 20 (1969), 295–302.MR 38 # 2413.
W. R. Utz, The equationf'(x)=af(g(x)), Bull. Amer. Math. Soc. 71 (1965), 138 (a research problem).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Czerwik, S. On the global existence of solutions of a functional-differential equation. Period Math Hung 6, 347–351 (1975). https://doi.org/10.1007/BF02017930
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02017930