| Title:
|
On equation $P(\text D)u=f(u^{(m)})+g\bigl (t,(u^{(j)})\bigr )$ on the line (English) |
| Author:
|
Fijałkowski, Piotr |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
283-294 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B40 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 1116.34023 |
| idMR:
|
MR2181006 |
| . |
| Date available:
|
2009-09-25T14:26:10Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128697 |
| . |
| Reference:
|
[1] ANDRES J.-GABOR G.-GÓRNIEWICZ L.: Boundary value problems on infinit intervals.Trans. Amer. Math. Soc. 351 (1999), 4861-4903. MR 1603870 |
| Reference:
|
[2] BERNSTEIN S. N.: Sur les équations du calcul des variations.Ann. Sci. Ecole Norm. Sup. 29 (1912), 431-485. MR 1509153 |
| Reference:
|
[3] BROWDER F. E.: Nonlinear functional analysis and nonlinear integral equations of Hammerstein and Urysohn type.In: Contributions to Nonlinear Functional Analysis (E. H. Zarantonello, ed.), Academic Press, New York, 1971, pp. 425 500. Zbl 0267.47038, MR 0394340 |
| Reference:
|
[4] CONSTANTIN A.: On an infinite interval boundary value problem.Ann. Mat. Pura Appl. (4) 176 (1999), 379-396. Zbl 0969.34024, MR 1746548 |
| Reference:
|
[5] FIJAŁKOWSKI P.: On the solvability of nonlinear elliptic equations in Sobolev spaces.Ann. Polon. Math. 56 (1992), 149-156. Zbl 0776.35017, MR 1159986 |
| Reference:
|
[6] FIJAŁKOWSKI P.-PRZERADZKI B.: On a boundary value problem for a nonlocal elliptic equation.J. Appl. Anal. (To appear). Zbl 1071.35047, MR 2021288 |
| Reference:
|
[7] GRANAS A.-GUENTHER R.-LEE J.: Nonlinear boundary value problems for ordinary differential equations.Dissertationes Math. (Rozprawy Mat.) 244 (1985). Zbl 0615.34010, MR 0808227 |
| Reference:
|
[8] HORMANDER L.: The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coeffìcients.Grundlehren Math. Wiss. 257, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1983. MR 0705278 |
| Reference:
|
[9] KRASNOSEĽSKII M. A.-PUSTYĽNIK E. I.- SOBOLEVSKII P. E.-ZABREIKO P. P.: Integral Operators of Summable Functions.Nauka, Moscow, 1966. (Russian) MR 0206751 |
| Reference:
|
[10] LLOYD N. G.: Degree Theory.Cambridge Tracts in Math. 73, Cambridgе Univ. Prеss, Cambridge, 1978. Zbl 0367.47001, MR 0493564 |
| Reference:
|
[11] YOSIDA K.: Functional Analysis.Springеr, Bеrlin, 1980. Zbl 0435.46002, MR 1336382 |
| . |
