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

Ondřej Došlý

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 1, page 67-73
  • ISSN: 0139-9918

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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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  3. DOŠLÝ O., Conjugacy criteria for second order differential equations, Rocky Mountain J. Math. 23 (1993), 849-891. (1993) Zbl0794.34025MR1245450
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  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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