대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권3호
  • /
  • Pages.495-506
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  • 2004
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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OSCILLATION THEOREMS OF SOLUTIONS FOR SOME DIFFERENTIAL EQUATIONS

  • 발행 : 2004.07.01
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초록

Some oscillation criteria are given for second order nonlinear differential equations by means of integral averaging technique.

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참고문헌

  1. J. of Math. Anal. Appl. v.190 Oscillation of second order differential equation with mixed argument J. Dzurina https://doi.org/10.1006/jmaa.1995.1114
  2. Colloq. Math. Soc. Janos Bolyai. v.30 A half-linear second order differential equation. in "Qualitative Theory of Differential Equations." A. Elbert https://doi.org/10.1006/jmaa.1995.1114
  3. Lecture Notes in Mathematics. v.964 Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations in "Ordinary and Partial Differential Equations." A. Elbert https://doi.org/10.1007/BFb0064999
  4. A. Elbert, Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations in \Ordinary and Partial Differential Equations." Lecture Notes in Mathematics., vol. 964, Springer-Verlag, New York /Berlin, 1982, pp. 187-212. https://doi.org/10.1007/BFb0064999
  5. Acta Math. Hungar. v.56 Oscillation and nonoscillation theorems for a class of second order quasilinear differential equations A. Elbert;T. Kusano https://doi.org/10.1007/BF01903849
  6. Canad. Math. Bull. v.16 Oscillation criteria for second order nonlinear delay equations L. Erbe https://doi.org/10.1007/BF01903849
  7. Proc. Amer. Math. Soc. v.26 Nonoscillation theorems for a nonlinear differential equation H. E. Gollwitzer
  8. Proc. Amer. Math. Soc. v.22 A nonoscillation theorem for a nonlinear second order differential equation J. W. Heidel https://doi.org/10.2307/2036807
  9. Proc. Amer. Math. Soc. v.87 Nonoscillation theorems for a sublinear ordinary differential equation M. K. Kong;J. S. W. Wong https://doi.org/10.2307/2043634
  10. Arch. Math. v.53 Oscillation theorems for linear differential equations Ch. G. Philos https://doi.org/10.2307/2043634
  11. J. Math. Anal. Appl. v.215 Oscillation Criteria for certain nonlinear differential equations Y. V. Rogovchenko https://doi.org/10.1006/jmaa.1997.5595
  12. J. Math. Anal. Appl. v.229 Oscillation Criteria for certain nonlinear differential equations Y. V. Rogovchenko https://doi.org/10.1006/jmaa.1998.6148
  13. J. Math. Anal. Appl. v.189 Nonoscillation theorems for a class of quasilinear differential equations of second order K. Takasi https://doi.org/10.1006/jmaa.1995.1007
  14. Quart. Appl. Math. v.7 A criterion of oscillatory stability A. Winter https://doi.org/10.1006/jmaa.1995.1007
  15. J. Math. Anal. Appl. v.258 On Kamenev-Type Oscillation Theorems for Second-Order Differential Equations with Damping J. S. W. Wong https://doi.org/10.1006/jmaa.2000.7376
  16. Houston J. Math. v.17 Generalizing Hartman's oscillation result for (|x'(t)|$^{p-2}$x'(t)' + c(t)|x(t)|$^{p-2}$x = 0,p > 1 M. Del Pino;M. Elgueta;R. Manasevich https://doi.org/10.1006/jmaa.2000.7376