Oscillation Criteria for Some Emden-Fowler Type Half-linear Elliptic Equations
ثبت نشده
چکیده
By means of some Picone-type identity, we provide some simple oscillation criteria for the equations { a(t)φα(y ′) }′ + q(t)φβ(h(y)) = 0, t > 0; α, β > 0. Mathematics Subject Classification: 34C10, 34K15
منابع مشابه
Oscillation of Damped Second Order Nonlinear Delay Differential Equations of Emden–Fowler Type
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...
متن کاملOscillation Behavior of a Class of New Generalized Emden-fowler Equations
Equation (2) has some oscillation behavior [1-3], In 2012, Liu [4] obtained some oscillation criteria of eq. (1). In the last decades, the Emden-Fowler equations have attracted extensive attention for the relevance to nuclear physics and gaseous dynamics in astrophysics, the oscillation behavior of the Emden-Fowler equations are studied by many scholars [5-10]. In this paper, we further study f...
متن کاملApplication of the exact operational matrices for solving the Emden-Fowler equations, arising in Astrophysics
The objective of this paper is applying the well-known exact operational matrices (EOMs) idea for solving the Emden-Fowler equations, illustrating the superiority of EOMs over ordinary operational matrices (OOMs). Up to now, a few studies have been conducted on EOMs ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...
متن کاملOscillation for a Class of Second-Order Emden-Fowler Delay Dynamic Equations on Time Scales
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-...
متن کاملOscillation 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...
متن کامل