On the existence of conjugate points for linear differential systems

Ondřej Došlý

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 1, page 87-99
  • ISSN: 0139-9918

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Došlý, Ondřej. "On the existence of conjugate points for linear differential systems." Mathematica Slovaca 40.1 (1990): 87-99. <http://eudml.org/doc/31831>.

@article{Došlý1990,
author = {Došlý, Ondřej},
journal = {Mathematica Slovaca},
keywords = {linear differential system; Courant's variational principle; existence of conjugate points},
language = {eng},
number = {1},
pages = {87-99},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the existence of conjugate points for linear differential systems},
url = {http://eudml.org/doc/31831},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Došlý, Ondřej
TI - On the existence of conjugate points for linear differential systems
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 1
SP - 87
EP - 99
LA - eng
KW - linear differential system; Courant's variational principle; existence of conjugate points
UR - http://eudml.org/doc/31831
ER -

References

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  2. ATKINSON F. V., KAPER H. G., KWONG M. K., An oscillation criterion for second order differential systems, Proc. Amer. Math. Soc. 96, 1985, 91-96. (1985) MR0781063
  3. BELLMAN R., Vvedenie v teoriu matric, Nauka, Moskva 1976. (1976) 
  4. BYRES R., HARRIS B. J., KWONG M. K., Weighted means and oscillation conditions for second order matriх differential equations, J. Diff. Equations 61, 1986, 164-177. (1986) MR0823400
  5. BORŮVKA O., Linear Differentialtransformationen 2, Ordnung. VEB Deutscher Verlag der Wissenschaften, Berlin 1967. (1967) MR0236448
  6. DOŠLÝ O., Riccati matrix differential equation and classification of disconjugate differential systems, Arch. Math. 23, 1987, 231-242. (1987) MR0930783
  7. HARTMAN P., Ordinary Differential Equations, John Wiley, New York, London, Sydney 1964. (1964) Zbl0125.32102MR0171038
  8. HARTMAN P., Oscillation criteria for self-adjoint second order differential systems and "principal sectional curvatures", J. Diff. Equations 34, 1979, 326-338. (1979) Zbl0443.34029MR0550049
  9. HINTON D. B., LEWIS R. T., Oscillation theory for generalized second order differential equations, Rocky Mountain J. Math. 10, 1980, 751-766. (1980) Zbl0485.34021MR0595103
  10. KAPER H. G., KWONG M. K., Oscillation of two-dimensional linear second-order differential systems, J. Diff. Equations 56, 1985, 195-205. (1985) Zbl0571.34024MR0774162
  11. KAPER H. G., KWONG M. K., Oscillation theory for linear second-order differential systems, Canadian Math. Soc. Conference Proceedings 8, 1987, 187-187. (1987) Zbl0629.34040MR0909909
  12. MORSE M., A generalization of the Sturm separation and comparison theorem in n-space, Math. Ann. 103, 1930, 52-69. (1930) MR1512617
  13. MÜLLER-PFEIFFER E., Existence of conjugate points for second and fourth order differential equations, Proc. Roy. Soc. Edinburgh 89A, 198 V 281-291. (198) MR0635764
  14. MÜLLER-PFEIFFER R., An oscillation theorem for certain self-adjoint differential equations, Math. Nachr. 108, 1982. 79-92. (1982) MR0695118
  15. NOUSSIAR E. S., SWANSON C. A., Oscillation criteria for differential systems, J. Math. Anal. Appl. 36, 1971 575-580. (1971) MR0296417
  16. REID W. T., Ordinary Differential Equations, John Wiley, New York 1971. (1971) Zbl0212.10901MR0273082
  17. SCHMINKE V. W., The lower spectrum of Schrödinger operator, Arch. Rational Mech. Anal. 75, 1981, 147-155. (1981) MR0605526
  18. SWANSON C. A., Comparison and Oscillation Theory of Linear Differential Equations, Acad. Press, New York and London 1968. (1968) Zbl0191.09904MR0463570
  19. TIPLER F. J., General relativity and conjugate differential equations, J. Diff. Equations 30, 1978, 165-174. (1978) MR0513268

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