On the three-point boundary-value problem for a non-linear third order ordinary differential equation

Valter Šeda

Archivum Mathematicum (1972)

  • Volume: 008, Issue: 2, page 85-98
  • ISSN: 0044-8753

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Šeda, Valter. "On the three-point boundary-value problem for a non-linear third order ordinary differential equation." Archivum Mathematicum 008.2 (1972): 85-98. <http://eudml.org/doc/15921>.

@article{Šeda1972,
author = {Šeda, Valter},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {85-98},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the three-point boundary-value problem for a non-linear third order ordinary differential equation},
url = {http://eudml.org/doc/15921},
volume = {008},
year = {1972},
}

TY - JOUR
AU - Šeda, Valter
TI - On the three-point boundary-value problem for a non-linear third order ordinary differential equation
JO - Archivum Mathematicum
PY - 1972
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 008
IS - 2
SP - 85
EP - 98
LA - eng
UR - http://eudml.org/doc/15921
ER -

References

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  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 (1928) MR1544895
  2. [2J M. Greguš, Über das verallgemeinerte Randwertproblem der n-ten Ordnung, Čas. pгo pěst. mat., 89 (1964), pp. 85-89 (1964) MR0181790
  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 (1964) MR0168834
  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 (1929) 
  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 (1968) MR0247169
  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 (1961) MR0132857
  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 (1967) MR0208042
  8. S. Cinquini, Problemi di valori al contorno per equazioni differenziali di ordine n, Ann. Scuola Norm. Sup. Pisa 9 (1940), pp. 61-77 (1940) Zbl0022.33902MR0002430
  9. R. Conti, Problèmes linéaires pour les équations différentielles ordinaires, Math. Nach. 23 (1961), pp. 161-178 (1961) Zbl0107.28803MR0138818
  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 (1952) MR0065738
  11. M. Uгabe, An existence theorem for multi-point boundary value problems, Funkcial. Ekvac. 9 (1966), pp. 43-60 (1966) MR0209558
  12. M. Urabe, Numerical solution of multipoint boundary value problems in Chebyshev series. Theory of the method, Numer. Math. 9 (1967), pp. 341-366 (1967) MR0215535
  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 (1969) MR0255898
  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 (1963) Zbl0117.05004MR0160972
  15. E. F. Beckenbach. R. Bellman, Inequalities, Springer-Verlag 1961 (The Russian translation. Moscow 1965) (1961) Zbl0186.09606MR0192009

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