Title:
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A remark on conjugacy of half-linear second order differential equations (English) |
Author:
|
Došlý, Ondřej |
Language:
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English |
Journal:
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Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
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50 |
Issue:
|
1 |
Year:
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2000 |
Pages:
|
67-73 |
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Category:
|
math |
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MSC:
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34C10 |
idZBL:
|
Zbl 0959.34025 |
idMR:
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MR1764346 |
. |
Date available:
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2009-09-25T11:42:27Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136768 |
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Reference:
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[1] BORŮVKA O.: Lineare Differentialtransformationen 2. Ordnung.Deutscher Veilag der Wissenschaften, Berlin, 1991. |
Reference:
|
[2] DOŠLÝ O.: Multiplicity criteria for zero points of second order differential equations.Math. Slovaca 42 (1992), 181-193. Zbl 0754.34026, MR 1170102 |
Reference:
|
[3] DOŠLÝ O.: Conjugacy criteria for second order differential equations.Rocky Mountain J. Math. 23 (1993), 849-891. Zbl 0794.34025, MR 1245450 |
Reference:
|
[4] DOŠLÝ O.: Existence of conjugate points for linear differential systems.Math. Slovaca 40 (1990), 87-99. Zbl 0744.34013, MR 1094975 |
Reference:
|
[5] DOŠLÝ O.: Oscillation criteria for half-linear differential equations.Hiroshima J. Math. 28 (1998), 507-521. MR 1657543 |
Reference:
|
[6] DOŠLÝ O.-ELBERT Á.: Conjugacy criteria for half-linear second order differential equations.Proc. Roy Soc. Edinburgh Sect. A (2000) (To appear). MR 1769240 |
Reference:
|
[7] ELBERT Á.: A half-linear second order differential equation.In: Theory of Differential Equation. Colloq. Math. Soc. Janos Bolyai 30, North-Holland, Amsterdam, 1979, pp. 158-180. MR 0680591 |
Reference:
|
[8] ELBERT Á.: Oscillation and nonosdilation theorems for some non-linear ordinary differential equations.In: Lecture Notes in Math. 964, Springer, New York, 1982, pp. 187-212. MR 0693113 |
Reference:
|
[9] ELBERT Á.: On the half-linear second order differential equations.Acta Math. Hungar. 49 (1987), 487-508. Zbl 0656.34008, MR 0891061 |
Reference:
|
[10] ELBERT Á.-KUSANO T.: Principal solutions of nonoscillatory half-linear differential equations.Adv. Math. Sci. Appl. 18 (1998), 745-759. MR 1657164 |
Reference:
|
[11] ELBERT Á.-KUSANO T.-TANIGAWA T.: An oscillatory half-linear differential equation.Arch. Math. (Basel) 33 (1997), 355-361. Zbl 0914.34026, MR 1601353 |
Reference:
|
[12] JAROŠ J.-KUSANO T.: Picone's identity for half-linear second order differential equations.Acta Math. Univ. Comenian. 68 (1999), 137-151. MR 1711081 |
Reference:
|
[13] LI H. J.: Oscillation criteria for half-linear second order differential equations.Hirosima Math. J. 25 (1995), 571-583. Zbl 0872.34018, MR 1364075 |
Reference:
|
[14] LI H. J.-YEH C. C.: Sturmian comparison theorem for half-linear second order differential equations.Proc. Roy. Soc. Edinburgh Sect. A 125 (1996), 1193-1204. MR 1362999 |
Reference:
|
[15] MÜLLER-PFEIFFER E.: Existence of conjugate points for second and fourth order differential equations.Proc. Roy Soc. Edinburgh Sect. A 89 (1981), 281-291. Zbl 0481.34019, MR 0635764 |
Reference:
|
[16] MÜLLER-PFEIFFER E.: Nodal domains of one- or two-dimensional elliptic differential equations.Z. Anal. Anwendungen 7 (1988), 135-139. MR 0951346 |
Reference:
|
[17] PEŇA S.: Conjugacy criteria for half-linear differential equations.Arch. Math. (Brno) 35 (1999), 1-11. Zbl 1054.34055, MR 1684518 |
Reference:
|
[18] SCHMINKE U. W.: The lower spectrum of Schrödinger operators.Arch. Rational Mech. Anal. 75 (1981), 147-155. MR 0605526 |
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