A remark on conjugacy of half-linear second order differential equations

Ondřej Došlý

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 1, page 67-73
  • ISSN: 0232-0525

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Došlý, Ondřej. "A remark on conjugacy of half-linear second order differential equations." Mathematica Slovaca 50.1 (2000): 67-73. <http://eudml.org/doc/34507>.

@article{Došlý2000,
author = {Došlý, Ondřej},
journal = {Mathematica Slovaca},
keywords = {half-linear second-order differential equation; conjugacy criteria; generalized Riccati equation},
language = {eng},
number = {1},
pages = {67-73},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A remark on conjugacy of half-linear second order differential equations},
url = {http://eudml.org/doc/34507},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Došlý, Ondřej
TI - A remark on conjugacy of half-linear second order differential equations
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 1
SP - 67
EP - 73
LA - eng
KW - half-linear second-order differential equation; conjugacy criteria; generalized Riccati equation
UR - http://eudml.org/doc/34507
ER -

References

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  1. BORŮVKA O., Lineare Differentialtransformationen 2. Ordnung, Deutscher Veilag der Wissenschaften, Berlin, 1991. (1991) 
  2. DOŠLÝ O., Multiplicity criteria for zero points of second order differential equations, Math. Slovaca 42 (1992), 181-193. (1992) Zbl0754.34026MR1170102
  3. DOŠLÝ O., Conjugacy criteria for second order differential equations, Rocky Mountain J. Math. 23 (1993), 849-891. (1993) Zbl0794.34025MR1245450
  4. DOŠLÝ O., Existence of conjugate points for linear differential systems, Math. Slovaca 40 (1990), 87-99. (1990) Zbl0744.34013MR1094975
  5. DOŠLÝ O., Oscillation criteria for half-linear differential equations, Hiroshima J. Math. 28 (1998), 507-521. (1998) MR1657543
  6. DOŠLÝ O.-ELBERT Á., Conjugacy criteria for half-linear second order differential equations, Proc. Roy Soc. Edinburgh Sect. A (2000) (To appear). MR1769240
  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. (1979) MR0680591
  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. (1982) MR0693113
  9. ELBERT Á., On the half-linear second order differential equations, Acta Math. Hungar. 49 (1987), 487-508. (1987) Zbl0656.34008MR0891061
  10. ELBERT Á.-KUSANO T., Principal solutions of nonoscillatory half-linear differential equations, Adv. Math. Sci. Appl. 18 (1998), 745-759. (1998) MR1657164
  11. ELBERT Á.-KUSANO T.-TANIGAWA T., An oscillatory half-linear differential equation, Arch. Math. (Basel) 33 (1997), 355-361. (1997) Zbl0914.34026MR1601353
  12. JAROŠ J.-KUSANO T., Picone's identity for half-linear second order differential equations, Acta Math. Univ. Comenian. 68 (1999), 137-151. (1999) MR1711081
  13. LI H. J., Oscillation criteria for half-linear second order differential equations, Hirosima Math. J. 25 (1995), 571-583. (1995) Zbl0872.34018MR1364075
  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. (1996) MR1362999
  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. (1981) Zbl0481.34019MR0635764
  16. MÜLLER-PFEIFFER E., Nodal domains of one- or two-dimensional elliptic differential equations, Z. Anal. Anwendungen 7 (1988), 135-139. (1988) MR0951346
  17. PEŇA S., Conjugacy criteria for half-linear differential equations, Arch. Math. (Brno) 35 (1999), 1-11. (1999) Zbl1054.34055MR1684518
  18. SCHMINKE U. W., The lower spectrum of Schrödinger operators, Arch. Rational Mech. Anal. 75 (1981), 147-155. (1981) MR0605526

Citations in EuDML Documents

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  1. Pavel Řehák, Oscillatory properties of second order half-linear difference equations
  2. Ondřej Došlý, Zuzana Pátíková, Hille-Wintner type comparison kriteria for half-linear second order differential equations
  3. Ondřej Došlý, Qualitative theory of half-linear second order differential equations
  4. Ondřej Došlý, Alexander Lomtatidze, Disconjugacy and disfocality criteria for second order singular half-linear differential equations
  5. Martin Chvátal, Ondřej Došlý, Variational method and conjugacy criteria for half-linear differential equations
  6. Ondřej Došlý, Jaroslav Jaroš, A singular version of Leighton's comparison theorem for forced quasilinear second order differential equations

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