On oscillation of solutions of nonlinear retarded differential equation of Emden-Fowler type
نویسندگان
چکیده
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 کاملApproximate solutions of Emden-Fowler type equations
Singular initial value problems are investigated. We extend a decomposition method for di¤erent type Emden-Fowler-like equations. Some special cases of the equation are solved as examples, to illustrate the reliableness of the method. The solutions are constructed in the form of a convergent series.
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 کاملThe Generalized Emden-Fowler Equation
We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f(x) that the equation admits one, two, or tree one-parameter Lie groups.
متن کاملBubbling Solutions for an Anisotropic Emden-Fowler Equation
We consider the following anisotropic Emden-Fowler equation ∇(a(x)∇u) + εa(x)e = 0 in Ω, u = 0 on ∂Ω where Ω ⊂ R is a bounded smooth domain and a(x) is a positive smooth function. We investigate the effect of anisotropic coefficient a(x) on the existence of bubbling solutions. We show that at given local maximum points of a(x), there exists arbitrarily many bubbles. As a consequence, the quanti...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1984
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1984.101967