On some problems in the oscillation theory of self-adjoint linear differential equations

Ondřej Došlý

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 1, page 101-111
  • ISSN: 0139-9918

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Došlý, Ondřej. "On some problems in the oscillation theory of self-adjoint linear differential equations." Mathematica Slovaca 41.1 (1991): 101-111. <http://eudml.org/doc/31554>.

@article{Došlý1991,
author = {Došlý, Ondřej},
journal = {Mathematica Slovaca},
keywords = {linear differential equations; oscillation properties; self-adjoint equations of even order},
language = {eng},
number = {1},
pages = {101-111},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On some problems in the oscillation theory of self-adjoint linear differential equations},
url = {http://eudml.org/doc/31554},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Došlý, Ondřej
TI - On some problems in the oscillation theory of self-adjoint linear differential equations
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 1
SP - 101
EP - 111
LA - eng
KW - linear differential equations; oscillation properties; self-adjoint equations of even order
UR - http://eudml.org/doc/31554
ER -

References

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  2. BARRETT J. H., A Prüfer transformation for matrix differential equations, Proc. Amer. Math. Soc., 8, 1957, 510-518. (1957) Zbl0079.10603MR0087821
  3. BORŮVKA O., Lineare Differentialtransformationen 2, Ornung, VEB Deutscher Verlag der Wissenschaften, Berlin 1967. (1967) MR0236448
  4. COPPEL W. A., Disconjugacy, Lecture Notes in Math. 220, Springer Verlag, Berlin-New York-Heidelberg 1971. (1971) Zbl0224.34003MR0460785
  5. DOŠLÝ O., On transformation of self-adjoint linear differential systems and their reciprocals, Ann. Pol. Math., 50, 1990, 223-234. (1990) 
  6. DOŠLÝ O., Riccati matrix differential equation and classification of disconjugate differential systems, Arch. Math., 23, 1987, 231-241. (1987) MR0930783
  7. DOŠLÝ O., Existence of conjugate points for self-adjoint linear differential equations, Proc. Roy. Soc. Edinburgh, 113A, 1989, 73-85. (1989) MR1025455
  8. JAKUBOVIČ V. A., Oscillatornyje svojstva rešenij kanoničeskich uravnenij, (Russian.) Mat. Sb. (N. S.), 56, 1962, 3-2. (1962) MR0138863
  9. KRATZ W., Asymptotic behaviour of Riccati differential equation associated with self-adjoint scalar equations of even order, Czech. Math. J., 38, 1988, 351-364. (1988) MR0946304
  10. NEUMAN F., Limit circle classification and boundedness of solutions, Proc. Roy. Soc. Edinburgh 81A, 1978, 31-34. (1978) Zbl0411.34040MR0529374
  11. NEUMAN F., L2 - solutions of y"=q(t)y and functional equation, Aequationes Math., 6, 1971, 162-169. (1971) MR0291562
  12. REID W. T., Ordinary Differential Equations, Joh Wiley, New York 1971. (1971) Zbl0212.10901MR0273082
  13. SWANSON C. A., Oscillation and Comparison Theory for Linear Differential Equations, Acad. Press, Ney York 1968. (1968) MR0463570
  14. TOMASTIK E. C., Singular quadratic functional of n dependent variables, Trans. Amer. Math. Soc., 124, 1966, 6076. (1966) MR0196556

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