ON THE OSCILLATION OF CERTAIN FUNCTIONAL DIFFERENTIAL EQUATIONS

Title & Authors
ON THE OSCILLATION OF CERTAIN FUNCTIONAL DIFFERENTIAL EQUATIONS
Agarwal, Ravi-P.; Grace, S.R.; Dontha, S.;

Abstract
In this paper, we establish some new oscillation criteria for the functional differential equations of the form $\small{\frac{d}{dt}}$$\small{\frac{1}{a_{n-1}(t)}}$$\small{\frac{d}{dt}(\frac{1}{{a_{n-2}(t)}\frac{d}{dt}(...(\frac{1}{a_1(t)}\frac{d}{dt}x(t))...)))^\alpha}$ + $\small{\delta[f_1(t,s[g_1(t)],\frac{d}{dt}x[h_1(t)])}$ + $\small{f_2(t,x[g_2(t)],\frac{d}{dt}x[h_2(t)])]=0}$ via comparing it with some other functional differential equations whose oscillatory behavior is known.
Keywords
oscillation;comparison;functional differential equations;
Language
English
Cited by
1.
Oscillation of Solutions to a Neutral Differential Equation Involving an n-Order Operator with Variable Coefficients and a Forcing Term, Differential Equations and Dynamical Systems, 2014, 22, 1, 15
2.
Oscillation of second-order Emden–Fowler neutral delay differential equations, Annali di Matematica Pura ed Applicata (1923 -), 2014, 193, 6, 1861
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