| Title:
|
On the three-point boundary-value problem for a non-linear third order ordinary differential equation (English) |
| Author:
|
Šeda, Valter |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
8 |
| Issue:
|
2 |
| Year:
|
1972 |
| Pages:
|
85-98 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0276.34011 |
| idMR:
|
MR0322257 |
| . |
| Date available:
|
2008-06-05T19:52:59Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104763 |
| . |
| Reference:
|
[1] J. Tamarkin: Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions.Math. Zeitschrift 27 (1928), pp. 1-54 MR 1544895 |
| Reference:
|
[2J M. Greguš: Über das verallgemeinerte Randwertproblem der n-ten Ordnung.Čas. pгo pěst. mat., 89 (1964), pp. 85-89 MR 0181790 |
| Reference:
|
[3] M. Greguš: Über das Randwertproblem der n-ten Ordnung in m-Punkten.Acta F. R. N. Univ. Comen. IX., 2. - Mathematica (1964), pp. 49-55 MR 0168834 |
| Reference:
|
[4] Ch. I. de la Vallée Poussin: Sur l'équation du second ordre. Détermination d'une intégrale par deux valeurs assignées. Extension aux équations d'ordre n.Journ. de Math. pur et appl. (9), 8 (1929), pp. 125-144 |
| Reference:
|
[5] G. Casadei: Sul teorema di unicita di de la Vallée Poussin pre equazioni differenziali del terzo ordine.Rend. Sem. Mat. Padova, XLI (1968), pp. 300-305 MR 0247169 |
| Reference:
|
[6] A. Lasota Z. Opial: Sur un problème d'interpolation pour l'équation différentielle ordinaire d'ordre n.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. Vol. IX (1961), pp. 667-671 MR 0132857 |
| Reference:
|
[7] A. Lasota Z. Opial: Sur la dépendance continue des solutions des équations differentielles ordinaires de leurs seconds membres et des conditions aux limites.Ann. Polon. Math. 19 (1967), pp. 13-36 MR 0208042 |
| Reference:
|
[8] S. Cinquini: Problemi di valori al contorno per equazioni differenziali di ordine n.Ann. Scuola Norm. Sup. Pisa 9 (1940), pp. 61-77 Zbl 0022.33902, MR 0002430 |
| Reference:
|
[9] R. Conti: Problèmes linéaires pour les équations différentielles ordinaires.Math. Nach. 23 (1961), pp. 161-178 Zbl 0107.28803, MR 0138818 |
| Reference:
|
[10] M. Švec: On the problem of uniqueness for the solutions of a linear differential system.(In Slovak), Mat.-Fyz. Sbornik Sloven. Akad. Vied 2 (1952), pp. 3-22 MR 0065738 |
| Reference:
|
[11] M. Uгabe: An existence theorem for multi-point boundary value problems.Funkcial. Ekvac. 9 (1966), pp. 43-60 MR 0209558 |
| Reference:
|
[12] M. Urabe: Numerical solution of multipoint boundary value problems in Chebyshev series. Theory of the method.Numer. Math. 9 (1967), pp. 341-366 MR 0215535 |
| Reference:
|
[13] I. T. Kiguradze: On a singular de la Vallée Poussin's problem.(In Russian), Soobšč. Akad. Nauk. Gruzin. SSR, 54 (1969), pp. 525-528 MR 0255898 |
| Reference:
|
[14] A. Lasota: Sur la distance entre les zéros de l'équation différentielle linéaire du troisième ordre.Ann. Polon. Math. 13 (1963), pp. 129-132 Zbl 0117.05004, MR 0160972 |
| Reference:
|
[15] E. F. Beckenbach. R. Bellman: Inequalities.Springer-Verlag 1961 (The Russian translation. Moscow 1965) Zbl 0186.09606, MR 0192009 |
| . |
