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Article

Title: A class of differential equations similar to linear equations (English)
Author: Šeda, Valter
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 30
Issue: 4
Year: 1980
Pages: 433-441
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Category: math
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MSC: 34A34
idZBL: Zbl 0442.34009
idMR: MR595304
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Date available: 2009-09-25T09:11:05Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/130634
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Reference: [1] ANICHINI G., SCHUUR J. D.: Using a fixed point theoгem to describe the asymptotic behavior of solutions of nonlineaг ordinary diffeгential equations.Equazioni differenziali ordinaгie ed equazioni funzionali. Communicazioni del convegno Equadiff 78. Firenze 1978, 245-256.
Reference: [2] CODDINGTON E. A., LEVINSON N.: Theory of ordinary diffeгential equations.McGraw-Hill Book Co. Inc., New York-Toronto-London, 1955. MR 0069338
Reference: [3] COPPEL W. A.: Stability and asymptotic behavior of differential equations.D. C. Heath and Co., Boston, 1965. Zbl 0154.09301, MR 0190463
Reference: [4] COPPEL W. A.: Disconjugacy.Springeг Verlag, Beгlin-Heidelberg-New York, 1971. Zbl 0224.34003, MR 0460785
Reference: [5] DUNFORD N., SCHWARTZ J. T., BADE W. G., BARTLE R. G.: Lineaг operatoгs, Part II, Spectгal theoгy, Selfadjoint operators in Hilbert space.Russian tгanslation, Izdat. Miг, Moskva 1966. MR 0216304
Reference: [6] FAN K.: Fixed point and minimax theorems in locally convex topological lineaг spaces.Pгoc. Nat. Acad. Sci. U.S. 38, 1952, 121-126. MR 0047317
Reference: [7] GLICKSBERG I. L.: A furtheг geneгalization of the Kakutani fixed point theoгem, with applications to Nash equilibrium points.Pгoc Ameг. Math. Soc. 3, 1952, 170-174. MR 0046638
Reference: [8] HARTMAN P.: Oгdinaгy differential equations.Russian tгanslation, Izdat. Miг, Moskva, 1970.
Reference: [9] HARTMAN P., WINTNER A.: Lineaг diffeгential equations with completely monotone solutions.Amer. J. Math. 76, 1954, 199-201. MR 0059423
Reference: [10] ПEПИH A. Ю., MЫШKИC A. Д.: Oб ycлoвияx oгaничeннocти пpoизвoдныx oгaничeнныx peшeний oбыкнoвeнныx диффepeнциaльныx ypaвнeний.Дифф. ypaв. 1, 1965, 1260-1263.
Reference: [11] ЛEBИH A. Ю.: Heocцилляция peшeний ypaвнeния $x^{(n)} + p_1(t)x^{(n-1)}+ \cdots +p_n(t) x = 0.$.Уcпexи Maт. Hayк, XXIV, 146, 1969, 44-96.
Reference: [12] KANNAN R., LOCKER J.: On a class of nonlinear boundary value pгoblems.J. Differential Equations, 26, 1977, 1-8. MR 0481221
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