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Title: Заметка о разрешимости некоторых краевых задач для обыкновенного дифференциального уравнения $n$-го порядка (Russian)
Title: A remark on the solvability of certain boundary value problems for an $n$-th order ordinary differential equation (English)
Author: Půža, Bedřich
Language: Russian
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 21
Issue: 2
Year: 1985
Pages: 85-92
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Category: math
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MSC: 34B15
idZBL: Zbl 0665.34021
idMR: MR817550
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Date available: 2008-06-06T06:14:35Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107219
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Reference: [1] S. R. Bernfeld, V. Lakshmikantham: An Introduction to Nonlinear Boundary Value Problems.Academic Press, Inc. London, 1974. Zbl 0286.34018, MR 0445048
Reference: [2] B. B. Гудков Ю. A. Клоков A. Я. Ленин. B. Д. Пономарев: Двухточечные краевы задачи для обыкновенных дифференциальных уравнений.Pиra, Зинатнеe, 1973. Zbl 1221.53041
Reference: [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. MR 0641541
Reference: [4] W. G. Kelley: Some Existence Theorems for n-th - Order Boundary Value Problems.J. Differential Equations 18, 1975, 158-169. Zbl 0277.34019, MR 0367351
Reference: [5] И. T. Кигурадзе. Б. Пужа: O neкomopыx кpaeвыx зadaчax для систем обыкновенных дифференциальных уравнений.Дифференциальные Уравнения X, Но. 12 (1976), 2139-2148.
Reference: [6] H. W. Knobloch: Eine neue Methode zur Approximation periodischer Lösungen nichtlinearer Differentialgleichungen zweiter Ordnung.Math. 2. 82, 1963, 177-197. MR 0158124
Reference: [7] J. Mawhin: Recent results on periodic solutions of differential equations.Inter. Conf. Diff. Eq. California 1974, Academic Press, New York 1975, 537-556. MR 0419946
Reference: [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. Zbl 0278.34018, MR 0365263
Reference: [9] K. Schmitt: Boundary value problems and comparison theorems for ordinary differential equations.SIAM J. Appl. Math. 26, 1974, 670-678. Zbl 0279.34027, MR 0355195
Reference: [10] K. Schmitt: Periodic solutions of systems of second order differential equations.J. Differential Equations 11, 1972, 180-192. Zbl 0228.34023, MR 0294790
Reference: [11] K. Schmitt: Periodic solutions of nonlinear second order differential equations.Math. Z. 98, 1967, 200-207. Zbl 0153.12501, MR 0213653
Reference: [12] H. И. Bacилев Ю. A. Kлоков: Ocновы meopuu кpaeeux зadaч обыкновенных дифференциальных уравнений.Pиra, Зинатнеe, 1978.
Reference: [13] W. Walter: Differential and Integral Inequalities.Springer-Verlag, New York, Heidelberg, Berlin, 1970. Zbl 0252.35005, MR 0271508
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