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Title: On some modification of the Levinson operator and its application to a three-point boundary value problem (English)
Title: O jisté modifikaci Levinsonova operátoru a její aplikaci na tříbodovou okrajovou úlohu (Czech)
Author: Andres, Ján
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 29
Issue: 1
Year: 1990
Pages: 35-43
Summary lang: Czech
Summary lang: Russian
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Category: math
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MSC: 34B10
MSC: 34B15
MSC: 47H15
MSC: 47N20
idZBL: Zbl 0756.34024
idMR: MR1144829
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Date available: 2009-01-29T15:35:52Z
Last updated: 2012-05-03
Stable URL: http://hdl.handle.net/10338.dmlcz/120242
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Reference: [1] Poincaré H.: Les méthodes nouvelles de la mécanique céleste.Gauthirs-Villars, Paris (1892). Zbl 0651.70002
Reference: [2] Levinson N.: On the existence of periodic solutions of second order differential equations with a forcing term.J. Math. Phys. 22 (1943), 41-48. MR 0008866
Reference: [3] Krasnoselskii M.A.: Translation operator along the trajectories of differential equations.Nauka, Moscow (1966) (in Russian). MR 0203159
Reference: [4] Mawhin J.: Topological degree methods in nonlinear boundary value problems.CBMS Reg. Conf. Math., No.40, AMS, Providence (1979). Zbl 0414.34025, MR 0525202
Reference: [5] Hille E.: On the Landau-Kallman-Rota inequality.J. Approx. Theory 6 (1972), 117-122. Zbl 0238.47007, MR 0343095
Reference: [6] Mawhin J.: Boundary value problems at resonance for vector second order nonlinear differential equations.Sém. Math. Appl. Méc., No.103, Nov., Louvain (1977).
Reference: [7] Bebernes J.W.: A simple alternative problem for finding periodic solutions of second order ordinary differential systems.Proceed. Amer. Math. Soc. 42, 1 (1974), 21-127. Zbl 0286.34055, MR 0330597
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