A note on hyperbolic partial differential equations. II.
Mathematica Slovaca (1981)
- Volume: 31, Issue: 4, page 355-364
- ISSN: 0232-0525
Access Full Article
topHow to cite
topRzepecki, Bogdan. "A note on hyperbolic partial differential equations. II.." Mathematica Slovaca 31.4 (1981): 355-364. <http://eudml.org/doc/34114>.
@article{Rzepecki1981,
author = {Rzepecki, Bogdan},
journal = {Mathematica Slovaca},
keywords = {fixed point theorems; existence; continuous dependence; Darboux problem; initial functions},
language = {eng},
number = {4},
pages = {355-364},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A note on hyperbolic partial differential equations. II.},
url = {http://eudml.org/doc/34114},
volume = {31},
year = {1981},
}
TY - JOUR
AU - Rzepecki, Bogdan
TI - A note on hyperbolic partial differential equations. II.
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 4
SP - 355
EP - 364
LA - eng
KW - fixed point theorems; existence; continuous dependence; Darboux problem; initial functions
UR - http://eudml.org/doc/34114
ER -
References
top- BIELECKI A., Une remarque sur la méthode de Banach-Cacciopoli-Tikhonov dans la theorie des équations différentielles ordinaires, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 4, 1956, 261-264. (1956) MR0082073
- BIELECKI A., Une remarque sur l'application de la méthode de Banach-Cacciopoli-Tikhonov dans la theorie de l'équation s=f(x, y, z, p, q), Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 4, 1956, 265-268. (1956) MR0082074
- ĎURIKOVlČ V., On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type uxy = f(x, y, u, ux, uy), Spisy přírodov. fak. Univ. J. E. Purkyně v Brně 4, 1968, 223-236. (1968)
- ĎURIKOVlČ V., On the existence and uniqueness of solutions and on the convergence of successive aproximations in the Darboux problem for certain differential equations of the type , Čas. pro pěstov. mat. 95, 1970, 178-195 (1970) MR0450758
- ĎURIKOVlČ V., The convergence of successive approximations for boundary value problems of hyperbolic equations in the Banach space, Mat. Časop. 21, 1971, 33-54. (1971) MR0355387
- GAJEWSKI H., GROGER K., ZACHARIAS K., Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974. (1974) MR0636412
- KOOI O., Existentie-, einduidigheids- en convergence stellingen in de theore der gewone differential vergelijkingen, Thesis V. U., Amsterdam, 1956. (1956)
- KOOI O., The method of successive approximations and a uniqueness theorem of Krasnoselskii and Krein in the theory of differential equations, Indag. Math. 20, 1958, 322-327. (1958) MR0098859
- KRASNOSELSKII M. A., Two remarks on the method of successive approximations, Uspehi Mat. Nauk 10, 1955, 123-127 [in Russian]. (1955) MR0068119
- KRASNOSELSKII M. A., KREIN S. G., On a class of uniqueness theorems for the equation y'=f(t,y), Uspehi Mat. Nauk 11, 1956, 206-213 [in Russian]. (1956) MR0079152
- KRATOWSKI C., Topologie. V. I, Warszawa, 1952. (1952)
- LUXEMBURG W. A. J., On the convergence of successive approximations in the theory of ordinary differential equations II, Indag. Math. 20, 1958, 540-546. (1958) Zbl0084.07703MR0124554
- LUXEMBURG W. A. J., On the convergence of successive approximations in the theory of ordinary differential equations III, Nieuw Archief Voor Wiskunde 6, 1958, 93-98. (1958) Zbl0085.30201MR0124555
- PALCZEWSKI B., PAWELSKI W., Some remarks on the uniqueness of solutions of the Darboux problem with conditions of the Krasnosielski-Krein type, Ann. Polon. Math. 14, 1964, 97-100. (1964) Zbl0132.07208MR0161013
- ROSENBLATT A., Über die Existenz von Integralen gewöhnlichen Differentialglechungen, Archiv for Mathem. Astr. och Fysik 5 (2), 1909, 1-4. (1909)
- RZEPECKI B., A generalization of Banach's contraction theorem, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 26, 1978, 603-609. (1978) Zbl0421.47032MR0515618
- RZEPECKI B., Note on the differential equation F(f, y(t), y(h(t)), y'(t)) = 0, Comment. Math. Univ. Carolinae 19, 1978, 627-637. (1978) MR0518176
- RZEPECKI B., Note on hyperbolic partial differential equations I, Mathematica Slovaca 31, 1981, 243-250. (1981) MR0621915
- WONG J. S. W., On the convergence of successive approximations in the Darboux problem, Ann. Polon. Math. 17, 1966, 329-336. (1966) Zbl0144.13704MR0188579
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.