On Higher-Order Generalized Emden-Fowler Differential Equations with Delay Argument
نویسندگان
چکیده
منابع مشابه
Oscillation of second-order Emden–Fowler neutral delay differential equations
We establish some new criteria for the oscillation of second-order Emden–Fowler neutral delay differential equations.We study the case of superlinear and the case of sublinear equations subject to various conditions. The results obtained show that the presence of a neutral term in a differential equation can cause or destroy oscillatory properties. Several examples are provided to illustrate th...
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Employing Riccati techniques and the integral averaging method, we establish interval oscillation criteria for the second-order Emden-Fowler neutral delay differential equation [|x′(t)|γ−1x′(t)]′ + q1(t)|y(t− σ)|α−1y(t− σ) + q2(t)|y(t− σ)|β−1y(t− σ) = 0, where t ≥ t0 and x(t) = y(t) + p(t)y(t − τ). The criteria obtained here are different from most known criteria in the sense that they are base...
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In this paper we establish some new oscillation criteria for a second order nonlinear delay differential equation of Emden–Fowler type with damping term. These results extend and improve some of the well-known results in the nondelay case. Our results in the delay case are new and can be applied to new classes of equations which are not covered by the known criteria for oscillation. Some select...
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By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations rxΔ Δ t p t x τ t 0 on a time scale T; here γ is a quotient of odd positive integers with r and p as real-valued positive rd-continuous functions defined on T. Our results in this paper not only extend the results given in Agarwal et al. 2005 , Akin-...
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2016
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-016-3195-1