| Title:
|
Note on the differential equation $F(t, y(t), y(h(t)), y'(t)) = 0$ (English) |
| Author:
|
Rzepecki, Bogdan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
19 |
| Issue:
|
4 |
| Year:
|
1978 |
| Pages:
|
627-637 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A10 |
| MSC:
|
34A12 |
| MSC:
|
34K05 |
| idZBL:
|
Zbl 0399.34058 |
| idMR:
|
MR518176 |
| . |
| Date available:
|
2008-06-05T20:59:21Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105880 |
| . |
| Reference:
|
[1] S. ABIAN A. B. BROW: On the solution of the differential equation $f(x,y,y') = 0$.Amer. Math. Monthly 66 (1959), 192-199. MR 0104003 |
| Reference:
|
[2] A. BIELECKI: Une remarque sur la méthode de Banach-Cacciopoli-Tikhonov dans la théorie des équations différentielles ordinaires.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 4 (1956), 261-264. MR 0082073 |
| Reference:
|
[3] L. COLLATZ: Funktionalanalys is und Numerische Mathematik.Berlin - Gdttingen - Heidelberg 1964. |
| Reference:
|
[4] R. CONTI: Sulla resoluzione dell' equazione $F(t,x,x') = 0$.Ann. Mat. Pura Appl. 48 (1959), 97-107. MR 0110838 |
| Reference:
|
[5] F. R. GANTMACHER: The theory of matrices.[in Russian], Moscow 1966. |
| Reference:
|
[6] K. GOEBEL: A coincidence theorem.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 16 (1968), 733-735. Zbl 0165.49801, MR 0283648 |
| Reference:
|
[7] M. A. KRASNOSELSKIĬ G. M. VAĬNIKKO P. P. ZABREĬKO J. A. B. RUTICKIĬ V. JA. STECENKO: Approximate solution of operator equations.[in Russian], Moscow 1969. MR 0259635 |
| Reference:
|
[8J C. KURATOWSKI: Topologie. VI.Warszawa 1958. |
| Reference:
|
[9J G. PULVIRENTI: Equazioni differenziali in forma implicite in uno spazi di Banach.Ann. Mat. Pura Appl. 56 (1961), 177-191. MR 0133553 |
| Reference:
|
[10] B. RZEPECKI: On the Banach principle and its application to the theory of differential equation.Comment. Math. 19 (1977), 355-363. MR 0478124 |
| Reference:
|
[11] B. RZEPECKI: A generalization of Banach's contraction theorem.to appear in Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 26. Zbl 0421.47032 |
| . |
