대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권2호
  • /
  • Pages.307-319
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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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ON THE OSCILLATION OF CERTAIN FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Agarwal, Ravi-P. (Department of Mathematical Sciences Florida Institute of Technology) ;
  • Grace, S.R. (Department of Engineering Mathematics Cairo University) ;
  • Dontha, S. (Department of Mathematical Sciences Florida Institute of Technology)
  • 발행 : 2004.04.01
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초록

In this paper, we establish some new oscillation criteria for the functional differential equations of the form $\frac{d}{dt}$$\frac{1}{a_{n-1}(t)}$$\frac{d}{dt}(\frac{1}{{a_{n-2}(t)}\frac{d}{dt}(...(\frac{1}{a_1(t)}\frac{d}{dt}x(t))...)))^\alpha$ + $\delta[f_1(t,s[g_1(t)],\frac{d}{dt}x[h_1(t)])$ + $f_2(t,x[g_2(t)],\frac{d}{dt}x[h_2(t)])]=0$ via comparing it with some other functional differential equations whose oscillatory behavior is known.

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참고문헌

  1. Oscillation Theory for Difference and Functional Differential Equations R.P.Agarwal;S.R.Grace;D.O'Regan
  2. J. Math. Anal. Appl. v.262 Oscillation Criteria for Certain $n^th$ Order Differential Equations with Deviating Arguments https://doi.org/10.1006/jmaa.2001.7571
  3. J. Math. Anal. Appl. v.286 On the Oscillation of Certain Higher Order Functional Differential Equations https://doi.org/10.1016/S0022-247X(03)00494-3
  4. Oscillation to Functional Differential Equations,to appear
  5. Comput. Math. Applic. v.38 On the Oscillation of Higher Order Differential Equations with Deviating Arguments R.P.Agarwal;S.R.Grace https://doi.org/10.1016/S0898-1221(99)00193-5
  6. Comput. Math. Applic. v.38 no.5-6 Oscillation of Certain Functional Differential Equations https://doi.org/10.1016/S0898-1221(99)00221-7
  7. J. Math. Anal. Appl. v.168 Oscillatory and Asymptotic Behavior of Delay Differential Equations with a Nonlinear Dampaing Term S.R.Grace https://doi.org/10.1016/0022-247X(92)90159-B
  8. Math. Slovaca v.44 Oscillation Theorems of Comparison Type of Delay Differential Equations with a Nonlinear Damping Term
  9. Aequationes Math. v.51 Oscillation Criteria for Retarded Differential Equations with a Nonlinear Damping Term https://doi.org/10.1007/BF01831140
  10. Oscillatory Theory of Delay Differential Equations with Applications I.Gyorl;G.Ladas
  11. Hiroshima Math. J. v.15 Oscillation of Functional Differential Equations with General Deviating Arguments Y.Kitamura
  12. J. Austral. Math. Soc.(Ser A) v.36 Some Comparison Criteria in Oscillation Theory Ch.G.Philos https://doi.org/10.1017/S1446788700024630
  13. Arch. Math. v.36 On the Exitence of Nonscillatory Solutions Tending to Zero at ∞ for Differential Equations with Positive Delays https://doi.org/10.1007/BF01223686

피인용 문헌

  1. Oscillation of Solutions to a Neutral Differential Equation Involving an n-Order Operator with Variable Coefficients and a Forcing Term vol.22, pp.1, 2014, https://doi.org/10.1007/s12591-013-0160-z
  2. Oscillation of second-order Emden–Fowler neutral delay differential equations vol.193, pp.6, 2014, https://doi.org/10.1007/s10231-013-0361-7