DOI QR코드

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ON THE OSCILLATION OF CERTAIN FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Agarwal, Ravi-P. ;
  • Grace, S.R. ;
  • Dontha, S.
  • Published : 2004.04.01

Abstract

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.

Keywords

oscillation;comparison;functional differential equations

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  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