| Title:
|
On the equation $x_{ap}^{(n)}=f(t,x)$ (English) |
| Author:
|
Bugajewski, Dariuss |
| Author:
|
Wójtowicz, Daria |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
325-330 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A24 |
| MSC:
|
34A12 |
| idZBL:
|
Zbl 0870.34001 |
| idMR:
|
MR1388620 |
| DOI:
|
10.21136/CMJ.1996.127294 |
| . |
| Date available:
|
2009-09-24T09:57:05Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127294 |
| . |
| Reference:
|
[1] N. Aronszajn: Le correspondant topologique de l’unicité dans la theorié des équations différentielles.Ann. of Math. 43 (1942), 730–748. Zbl 0061.17106, MR 0007195, 10.2307/1968963 |
| Reference:
|
[2] D. Bugajewski and S. Szufla: On the Aronszajn property for differential equations and the Denjoy integral.(to appear). MR 1384852 |
| Reference:
|
[3] P.S. Bullen and D.N. Sharkel: On the solution of $(y/x)_{ap}=f(x,y)$.J. Math. Anal. Appl. 127 (1987), 365–376. MR 0915063 |
| Reference:
|
[4] P.S. Bullen and R. Výborný: Some applications of a theorem of Marcinkiewicz.Canad. Math. Bull. 34 (1991), 165–174. MR 1113292, 10.4153/CMB-1991-027-x |
| Reference:
|
[5] V.G. Celidze and A.G. Dzvarsheishvili: Theory of the Denjoy Integral and Some of Its Applications.Tbilisi, 1987. (Russian) |
| Reference:
|
[6] T.S. Chew and F. Flordeliza: On $x^{\prime }=f(t,x)$ and Henstock-Kurzweil integrals.Differential and Integral Equations 4 (1991), no. 3, 861–868. MR 1108065 |
| Reference:
|
[7] R. Henstock: Definitions of Riemann type of the variational integral.Proc. London Math. Soc. 3 (1961), no. 11, 402–418. MR 0132147 |
| Reference:
|
[8] R. Henstock: Lectures on the Theory of Integration.World Scientific, Singapore, 1988. Zbl 0668.28001, MR 0963249 |
| Reference:
|
[9] J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter.Czech. Math. J. 7 (1957), 618–648. Zbl 0090.30002, MR 0111875 |
| Reference:
|
[10] S. Saks: Theory of the Integral.Monografie Matematyczne, Warszawa, Lwów, 1937. Zbl 0017.30004 |
| Reference:
|
[11] Š. Schwabik: The Perron integral in ordinary differential equations.Differential and Integral Equations 6 (1993), no. 4, 863–882. Zbl 0784.34006, MR 1222306 |
| Reference:
|
[12] G. Vidossich: A fixed-point theorem for function spaces.J. Math. Anal. and Appl. 36 (1971), 581–587. Zbl 0194.44903, MR 0285945, 10.1016/0022-247X(71)90040-0 |
| . |
