On the oscillatory behavior of solutions of second order nonlinear differential equations

John R. Graef; Paul W. Spikes

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 2, page 275-284
  • ISSN: 0011-4642

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Graef, John R., and Spikes, Paul W.. "On the oscillatory behavior of solutions of second order nonlinear differential equations." Czechoslovak Mathematical Journal 36.2 (1986): 275-284. <http://eudml.org/doc/13581>.

@article{Graef1986,
author = {Graef, John R., Spikes, Paul W.},
journal = {Czechoslovak Mathematical Journal},
keywords = {second order differential equation; examples},
language = {eng},
number = {2},
pages = {275-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the oscillatory behavior of solutions of second order nonlinear differential equations},
url = {http://eudml.org/doc/13581},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Graef, John R.
AU - Spikes, Paul W.
TI - On the oscillatory behavior of solutions of second order nonlinear differential equations
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 2
SP - 275
EP - 284
LA - eng
KW - second order differential equation; examples
UR - http://eudml.org/doc/13581
ER -

References

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  1. L. Chen, Some remarks on oscillation of second order differential equations, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 67 (1979), 45-52. (1979) Zbl0473.34013MR0617274
  2. L. Chen, С. Yeh, 10.1016/0022-247X(80)90209-7, J. Math. Anal. Appl. 78 (1980), 49-57. (1980) Zbl0445.34007MR0595763DOI10.1016/0022-247X(80)90209-7
  3. Y. I. Domshlak, Oscillation of solutions of second-order differential equations, Differential'nye Uravnenija 7 (1971), 205-214 (Russian). (1971) 
  4. S. R. Grace, B. S. Lalli, 10.1016/0022-247X(80)90270-X, J. Math. Anal. Appl. 77 (1980), 205-214. (1980) Zbl0443.34031MR0591271DOI10.1016/0022-247X(80)90270-X
  5. J. R. Graef, P. W. Spikes, Asymptotic behavior of the nonoscillatory solutions of differential equations with integrable coefficients, Publ. Math. Debrecen, to appear. Zbl0637.34046MR0834772
  6. M. K. Grammatikopoulos, Oscillation theorems for second order ordinary differential inequalities and equations with alternating coefficients, An. Stiint. Univ. "Al. I. Cuza" lasi Sect. la Mat. 26 (1980), 67-76. (1980) Zbl0442.34031MR0582469
  7. V. L. Jannelli, Sull’esistenza ed il comportamento asintotico di una classe di soluzioni monotone dell’equazione ( р ( х ) f ( у ) у ' ) ' = - q ( x ) g ( y ) , Boll. Un. Mat. Ital. С (6) 2 (1983), 307-316. (1983) 
  8. I. V. Kamenev, Oscillation of solutions of a second-order differential equation with an "integrally small" coefficient, Differential'nye Uravnenija 13 (1977), 2141 - 2148 (Russian). (1977) Zbl0411.34043MR0477271
  9. M. R. Kulenovic, M. K. Grammatikopoulos, 10.1002/mana.19800980124, Math. Nachr. 98 (1980), 317-327. (1980) Zbl0471.34025MR0623709DOI10.1002/mana.19800980124
  10. T. Kura, 10.1090/S0002-9939-1982-0643744-8, Proc. Amer. Math. Soc. 84 (1982), 535-538. (1982) Zbl0488.34022MR0643744DOI10.1090/S0002-9939-1982-0643744-8
  11. T. Kusano H. Onose, H. Tobe, 10.32917/hmj/1206136836, Hiroshima Math. J. 4 (1974), 491 - 499. (1974) MR0377183DOI10.32917/hmj/1206136836
  12. M. K. Kwong, J. S. W. Wong, 10.1016/0022-0396(82)90110-3, J. Differential Equations 46 (1982), 63 - 77. (1982) Zbl0503.34021MR0677584DOI10.1016/0022-0396(82)90110-3
  13. M. K. Kwong, J. S. W. Wong, 10.1090/S0002-9947-1983-0709578-6, Trans. Amer. Math. Soc. 279 (1983), 705-722. (1983) Zbl0544.34024MR0709578DOI10.1090/S0002-9947-1983-0709578-6
  14. W. E. Mahfoud, S. M. Rankin, 10.1137/0510005, SIAM J. Math. Anal. 10 (1979), 49-54. (1979) Zbl0397.34004MR0516748DOI10.1137/0510005
  15. Ch. G. Philos, 10.1016/0362-546X(83)90016-0, Nonlinear Anal. 7 (1983), 1071-1080. (1983) Zbl0525.34028MR0719359DOI10.1016/0362-546X(83)90016-0
  16. Ch. G. Philos, 10.4153/CMB-1984-015-0, Canad. Math. Bull. 27 (1984), 102-112. (1984) Zbl0494.34023MR0725258DOI10.4153/CMB-1984-015-0
  17. V. A. Staikos, Y. G. Sficas, Oscillations for forced second order nonlinear differential equations, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 60 (1973), 25-30. (1973) MR0369814
  18. W. Walter, Differential and Integral Inequalities, Springer-Verlag, Berlin/New York, 1970. (1970) Zbl0252.35005MR0271508
  19. С. С. Yeh, 10.1016/0022-247X(80)90059-1, J. Math. Anal. Appl. 76 (1980), 72-76. (1980) Zbl0465.34043MR0586644DOI10.1016/0022-247X(80)90059-1
  20. С. С. Yeh, 10.1090/S0002-9939-1982-0640240-9, Proc. Amer. Math. Soc. 84 (1982), 397-402. (1982) Zbl0498.34023MR0640240DOI10.1090/S0002-9939-1982-0640240-9
  21. С. С. Yeh, Comparison theorems for second order nonlinear differential equations, to appear. Zbl0736.34021

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