Properties of higher order differential polynomials generated by solutions of complex differential equations in the unit disc
Journal Title: Journal of Mathematics and Applications - Year 2014, Vol 37, Issue
Abstract
The main purpose of this paper is to study the controllability of solutions of the differential equation [formula]. In fact, we study the growth and oscillation of higher order differential polynomial with meromorphic coefficients in the unit disc ∆ = { z: |z|<1 } generated by solutions of the above k^{th} order differential equation.
Authors and Affiliations
Zinelâabidine Latreuch, Benharrat Belaïdi
Keywords
Related Articles
- EP ID EP342555
- DOI 10.7862/rf.2014.7
- Views 55
- Downloads 0
On Some Qualitative Properties of Integrable Solutions for Cauchy-type Problem of Fractional Order
The paper discusses the existence of solutions for Cauchy-type problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as...
On the zeros of an analytic function
Kuniyeda, Montel and Toya had shown that the polynomial p(z) = [formula]; a_0 ≠ 0, of degree n, does not vanish in [formula], where p > 1, q > 1, (1/p) + (1/q) = 1 and we had proved that p(z) does not vanish in [formula]...
On a class of meromorphic functions defined by the convolution
In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and...
Nonlinear Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces
This paper is devoted to study the existence of solutions for a class of initial value problems for non-instantaneous impulsive fractional differential equations involving the Caputo fractional derivative in a Banach spa...
On the Exponential Stability of a Neutral Differential Equation of First Order
In this work, we establish some assumptions that guaranteeing the global exponential stability (GES) of the zero solution of a neutral differential equation (NDE). We aim to extend and improves some results found in the...