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 |
. |
Category:
|
math |
. |
MSC:
|
34A34 |
idZBL:
|
Zbl 0442.34009 |
idMR:
|
MR595304 |
. |
Date available:
|
2009-09-25T09:11:05Z |
Last updated:
|
2012-07-31 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130634 |
. |
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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