| Title:
|
The multiplicity criteria for zero points of second order differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
181-193 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0754.34026 |
| idMR:
|
MR1170102 |
| . |
| Date available:
|
2009-09-25T10:37:15Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131731 |
| . |
| Reference:
|
[1] BORŮVKA O.: Lineare Differentialtransformationen 2.Ordnung, VEB, Deutscher Verlag der Wissenschaften, Berlin, 1971. |
| Reference:
|
[2] COURANT R., HILBERT D.: Methods of Mathematical Physics.Vol. I, Interscience, New York, 1953. Zbl 0053.02805, MR 0065391 |
| Reference:
|
[3] DOŠLÝ O.: Riccati matrix differential equation and classification of disconjugate differential systems.Arch. Math. (Brno) 23 (1988), 231-242. MR 0930783 |
| Reference:
|
[4] DOŠLÝ O.: On traits formation of self-adjoint differential systems and their reciprocals.Ann. Polon. Math. 50 (1990), 223-234. MR 1064996 |
| Reference:
|
[5] DOŠLÝ O.: On some problems in oscillation theory of self-adjoint linear differential equations.Math. Slovaca 41 (1991), 101-111. MR 1094989 |
| Reference:
|
[6] DOŠLÝ O.: Conjugacy criteria for second order differential equations.Rocky Mountain J. Math., (To appear). Zbl 0794.34025, MR 1245450 |
| Reference:
|
[7] HAWKING S. W., PENROSE R.: The singularities of gravity collapse and cosmology.Proc. Roy. Soc. London Ser. A 314 ; 1970, 543-548. MR 0264959 |
| Reference:
|
[8] MACHÁT J.: Phase matrix of self-adjoint linear differential equations.(Czech.), Thesis, Brno, 1989. |
| Reference:
|
[9] 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:
|
[10] MÜLLER-PFEIFFER E.: On the existence of nodal domains for elliptic differential operators.Proc. Roy. Soc. Edinburgh Sect. A 94 (1983), 287-299. Zbl 0537.35027, MR 0709722 |
| Reference:
|
[11] MÜLLER-PFEIFFER E.: Nodal domains of one- or two-dimensional elliptic differential equations.Z. Anal. Anwendungen 7 (1988), 135-139. MR 0951346 |
| Reference:
|
[12] TIPLER F. J.: General relativity and conjugate ordinary differential equations.J. Differential Equations 30 (1978), 165-174. Zbl 0362.34023, MR 0513268 |
| Reference:
|
[13] WEIDMAN J.: Linear Operators in Hilbert Spaces.Springer-Verlag, New York-Berlin, 1982. |
| . |
