| Title:
|
Two-point functional boundary value problems without growth restrictions (English) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
123-142 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
34K10 |
| idZBL:
|
Zbl 0963.34061 |
| idMR:
|
MR1690481 |
| . |
| Date available:
|
2009-01-29T15:55:12Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120379 |
| . |
| Reference:
|
[B] Bernstein S. N.: Sur les équations du calcul des variations.Ann. Sci. École Norm. Sup., 29 (1912), 438-448. |
| Reference:
|
[BL] Bernfeld S. P., Lakshmikantham V.: An Introduction to Nonlinear Boundary Value Problems.Academic Press, New York, 1974. Zbl 0286.34018, MR 0445048 |
| Reference:
|
[D] Deimling K.: Nonlinear Functional Analysis.Springer-Verlag, Berlin Heidelberg, 1985. Zbl 0559.47040, MR 0787404 |
| Reference:
|
[GK] Gelashvili S., Kiguradzel I.T.: On Multi-point Boundary Value Problems for Systems of Functional Differential and Difference Equations.Memoirs on Differential Equations and Mathematical Physics, vol. 5, Tbilisi, 1995. MR 1415806 |
| Reference:
|
[GGL] Granas A., Guenther R. B., Lee J. W.: Nonlinear boundary value problems for some classes of ordinary differential equations.Rocky Mountain J. Math., 10 (1980), 35-58. Zbl 0476.34017, MR 0573860 |
| Reference:
|
[GM] Gaines R. E., Mawhin J. L.: Coincidence Degree and Nonlinear Differential Equations.Lectures Notes in Mathematics, No. 568, Springer-Verlag, New York, 1977. Zbl 0339.47031, MR 0637067 |
| Reference:
|
[Ke] Kelevedjiev P.: Existence results for two-point boundary value problems.Nonlin. Anal., 22 (1994), 217-224. MR 1258957 |
| Reference:
|
[Ki] Kiguradze I.T.: Boundary Value Problems for Systems of Ordinary Differential Equations.Current Problems in Mathematics. Newest Results, vol. 30, 3-103. Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Moscow 1987 (in Russian). Zbl 0782.34025, MR 0925829 |
| Reference:
|
[LL] Lepin A. Ya., Lepin L. A.: Boundary Value Problems for Ordinary Second Order Differential Equations.Riga "Zinatne", 1988 (in Russian). |
| Reference:
|
[N] Nagumo M.: Über die Differentialgleichungen yn = f(x}y,yf).Proc. Phys. Math. Soc. Japan, 19 (1937), 861-866. |
| Reference:
|
[RS1] Rachůnková I., Staněk S.: Topological degree method in functional boundary value problems.Nonlin. Anal., 27 (1996), 153-165. MR 1389475 |
| Reference:
|
[RS2] Rachůnková I., Staněk S.: Topological degree method in functional boundary value problems at resonance.Nonlin. Anal., 27 (1996), 271-285. MR 1391437 |
| Reference:
|
[RT] Rodrigies A., Tineo A.: Existence theorems for the Dirichlet problem without growth restrictions.J. Math. Anal. Appl., 135 (1988), 1-7. MR 0960802 |
| Reference:
|
[S1] Staněk S.: Functional boundary value problems without growth restrictions.Preprint. MR 1739621 |
| Reference:
|
[S2] Staněk S.: Existence results for functional boundary value problems at resonance.Math. Slovaca, (in press). MR 1635235 |
| Reference:
|
[T1] Thompson H. B.: Second order ordinary differential equations with fully nonlinear two point boundary conditions.Pacific. J. Math., 172 (1996), 255-277. Zbl 0862.34015, MR 1379297 |
| Reference:
|
[T2] Thompson H. B.: Second order ordinary differential equations with fully nonlinear two point boundary conditions II.Pacific. J. Math., 172 (1996), 279-297. Zbl 0862.34015, MR 1379297 |
| . |
