A remark on the solvability of certain boundary value problems for an n -th order ordinary differential equation

Bedřich Půža

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 2, page 85-92
  • ISSN: 0044-8753

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Půža, Bedřich. "Заметка о разрешимости некоторых краевых задач для обыкновенного дифференциального уравнения $n$-го порядка." Archivum Mathematicum 021.2 (1985): 85-92. <http://eudml.org/doc/18157>.

@article{Půža1985,
author = {Půža, Bedřich},
journal = {Archivum Mathematicum},
keywords = {Cauchy problem; linear boundary conditions},
language = {rus},
number = {2},
pages = {85-92},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Заметка о разрешимости некоторых краевых задач для обыкновенного дифференциального уравнения $n$-го порядка},
url = {http://eudml.org/doc/18157},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Půža, Bedřich
TI - Заметка о разрешимости некоторых краевых задач для обыкновенного дифференциального уравнения $n$-го порядка
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 2
SP - 85
EP - 92
LA - rus
KW - Cauchy problem; linear boundary conditions
UR - http://eudml.org/doc/18157
ER -

References

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  1. S. R. Bernfeld, V. Lakshmikantham, An Introduction to Nonlinear Boundary Value Problems, Academic Press, Inc. London, 1974. (1974) Zbl0286.34018MR0445048
  2. B. B. Гудков Ю. A. Клоков A. Я. Ленин. B. Д. Пономарев, Двухточечные краевы задачи для обыкновенных дифференциальных уравнений, Pиra, Зинатнеe, 1973. (1973) Zbl1221.53041
  3. F. A. Howes, Differential inequalities of higher order and the asymptotic solutions of nonlinear boundary value problems, SIAM J. Math. Anal., Vol. 13, No 1, 1982, 61-80. (1982) MR0641541
  4. W. G. Kelley, Some Existence Theorems for n-th - Order Boundary Value Problems, J. Differential Equations 18, 1975, 158-169. (1975) Zbl0277.34019MR0367351
  5. И. T. Кигурадзе. Б. Пужа, O neкomopыx кpaeвыx зadaчax для систем обыкновенных дифференциальных уравнений, Дифференциальные Уравнения X, Но. 12 (1976), 2139-2148. (1976) 
  6. H. W. Knobloch, Eine neue Methode zur Approximation periodischer Lösungen nichtlinearer Differentialgleichungen zweiter Ordnung, Math. 2. 82, 1963, 177-197. (1963) MR0158124
  7. J. Mawhin, Recent results on periodic solutions of differential equations, Inter. Conf. Diff. Eq. California 1974, Academic Press, New York 1975, 537-556. (1974) MR0419946
  8. K. Schmitt, Applications of Variational Equations to Ordinary and Partial Differential Equations - Multiple Solutions of Boundary Value Problems, J. Differential Equations 17, 1975, 154-186. (1975) Zbl0278.34018MR0365263
  9. K. Schmitt, Boundary value problems and comparison theorems for ordinary differential equations, SIAM J. Appl. Math. 26, 1974, 670-678. (1974) Zbl0279.34027MR0355195
  10. K. Schmitt, Periodic solutions of systems of second order differential equations, J. Differential Equations 11, 1972, 180-192. (1972) Zbl0228.34023MR0294790
  11. K. Schmitt, Periodic solutions of nonlinear second order differential equations, Math. Z. 98, 1967, 200-207. (1967) Zbl0153.12501MR0213653
  12. H. И. Bacилев Ю. A. Kлоков, Ocновы meopuu кpaeeux зadaч обыкновенных дифференциальных уравнений, Pиra, Зинатнеe, 1978. (1978) 
  13. W. Walter, Differential and Integral Inequalities, Springer-Verlag, New York, Heidelberg, Berlin, 1970. (1970) Zbl0252.35005MR0271508

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