The multiplicity criteria for zero points of second order differential equations

Ondřej Došlý

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 2, page 181-193
  • ISSN: 0232-0525

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Došlý, Ondřej. "The multiplicity criteria for zero points of second order differential equations." Mathematica Slovaca 42.2 (1992): 181-193. <http://eudml.org/doc/32184>.

@article{Došlý1992,
author = {Došlý, Ondřej},
journal = {Mathematica Slovaca},
keywords = {conjugacy; disconjugacy; second order equation; extensions to partial differential equations},
language = {eng},
number = {2},
pages = {181-193},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The multiplicity criteria for zero points of second order differential equations},
url = {http://eudml.org/doc/32184},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Došlý, Ondřej
TI - The multiplicity criteria for zero points of second order differential equations
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 2
SP - 181
EP - 193
LA - eng
KW - conjugacy; disconjugacy; second order equation; extensions to partial differential equations
UR - http://eudml.org/doc/32184
ER -

References

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  2. COURANT R., HILBERT D., Methods of Mathematical Physics, Vol. I, Interscience, New York, 1953. (1953) Zbl0053.02805MR0065391
  3. DOŠLÝ O., Riccati matrix differential equation and classification of disconjugate differential systems, Arch. Math. (Brno) 23 (1988), 231-242. (1988) MR0930783
  4. DOŠLÝ O., On traits formation of self-adjoint differential systems and their reciprocals, Ann. Polon. Math. 50 (1990), 223-234. (1990) MR1064996
  5. DOŠLÝ O., On some problems in oscillation theory of self-adjoint linear differential equations, Math. Slovaca 41 (1991), 101-111. (1991) MR1094989
  6. DOŠLÝ O., Conjugacy criteria for second order differential equations, Rocky Mountain J. Math., (To appear). Zbl0794.34025MR1245450
  7. HAWKING S. W., PENROSE R., The singularities of gravity collapse and cosmology, Proc. Roy. Soc. London Ser. A 314 ; 1970, 543-548. (1970) MR0264959
  8. MACHÁT J., Phase matrix of self-adjoint linear differential equations, (Czech.), Thesis, Brno, 1989. (1989) 
  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. (1981) Zbl0481.34019MR0635764
  10. MÜLLER-PFEIFFER E., On the existence of nodal domains for elliptic differential operators, Proc. Roy. Soc. Edinburgh Sect. A 94 (1983), 287-299. (1983) Zbl0537.35027MR0709722
  11. MÜLLER-PFEIFFER E., Nodal domains of one- or two-dimensional elliptic differential equations, Z. Anal. Anwendungen 7 (1988), 135-139. (1988) MR0951346
  12. TIPLER F. J., General relativity and conjugate ordinary differential equations, J. Differential Equations 30 (1978), 165-174. (1978) Zbl0362.34023MR0513268
  13. WEIDMAN J., Linear Operators in Hilbert Spaces, Springer-Verlag, New York-Berlin, 1982. (1982) 

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