| Title:
|
On the existence of solutions and one-step method for functional-differential equations with parameters (English) |
| Author:
|
Jankowski, Tadeusz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
193-208 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A12 |
| MSC:
|
34K05 |
| MSC:
|
34K40 |
| MSC:
|
35K05 |
| MSC:
|
65J99 |
| MSC:
|
65L20 |
| MSC:
|
65Q05 |
| idZBL:
|
Zbl 0817.34006 |
| idMR:
|
MR1281018 |
| DOI:
|
10.21136/CMJ.1994.128463 |
| . |
| Date available:
|
2009-09-24T09:37:50Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128463 |
| . |
| Reference:
|
[1] C. W. Cryer, L. Tavernini: The numerical solution of Volterra functional differential equations by Euler's method.SIAM J. Numer. Anal. 9 (1972), 105-129. Zbl 0244.65085, MR 0312756, 10.1137/0709012 |
| Reference:
|
[2] A. Feldstein, R. Goodman: Numerical solution of ordinary and гetarded diffeгential equations with discontinuous derivatives.Numer. Math. 21 (1973), 1-13. MR 0381320, 10.1007/BF01436181 |
| Reference:
|
[3] P. Henrici: Discгete Variable Methods in Ordinary Differential Equations.New York, 1962. |
| Reference:
|
[4] Z. Jackiewicz: One-step methods for the numeгical solution of Volteгra functional differential equations of neutral type.Applicable Anal. 12 (1981), 1-11. MR 0618517, 10.1080/00036818108839344 |
| Reference:
|
[5] Z. Jackiewicz: One-step methods of any order for neutral functional differential equations.SIAM J. Numeг. Anal. 21 (1984), 486-511. Zbl 0562.65056, MR 0744170, 10.1137/0721036 |
| Reference:
|
[6] T. Jankowski, M. Kwapisz: On the existence and uniqueness of solutions of boundary-value problem for differential equations with parameter.Math. Nachr. 7i (1976), 237-247. MR 0405190, 10.1002/mana.19760710119 |
| Reference:
|
[7] T. Jankowski: Boundary value problems with a parameteг of differential equations with deviated arguments.Math. Nachr. 125 (1986), 7-28. MR 0847349, 10.1002/mana.19861250103 |
| Reference:
|
[8] T. Jankowski: One-step methods for retarded differential equations with parameters.Сomputing AЗ (1990), 343-359. Zbl 0689.65053, MR 1045067 |
| Reference:
|
[9] T. Jankowski: Сonvergence of multistep methods for retarded diffeгential equations with parameters.Applicable Anal. 57(1990), 227-251. MR 1116170 |
| Reference:
|
[10] Т. Pomentale: A constructive theorem of existence and uniqueness for the problem $V = f(x, y, \lambda)$, $y(a) = \alpha$, $y(b) = \beta$.$.ZAMM 56 (1976), 387-388. MR 0430389 |
| Reference:
|
[11] J. Stoer, R. Bulirsch: Introduction to Numerical Analysis.New York, Heidelberg, Berlin, 1980. Zbl 0553.65004, MR 0578346 |
| Reference:
|
[12] L. Tavernini: One-step methods for the numerical solutions of Volterra functional differential equations.SIAM J. Numer. Anal. 8 (1971), 786-795. MR 0295617, 10.1137/0708072 |
| . |
