Results 1 to 10 of about 22,141 (129)

Boundary problems of sequential fractional differential equations having a monomial coefficient [PDF]

Heliyon
The article examines sequential fractional-order differential equations composed of monomial coefficients defined as nonlinear boundary problems. The original problem is converted into an integral equation in an equivalent form.
Debao Yan
doaj   +4 more sources

Uniqueness of a Polynomial and a Differential Monomial Sharing a Small Function [PDF]

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
In this paper taking a question in [1] into background we investigate the uniqueness of a non-constant polynomial with the differential monomial generated by a non-constant mermorphic function f.
Banerjee Abhijit, Ahamed Molla Basir
doaj   +2 more sources

On the value distribution of a differential monomial and some normality criteria

Математичні Студії, 2021
The aim of this paper is to study the zero distribution of the differential polynomial $\displaystyle af^{q_{0}}(f')^{q_{1}}...(f^{(k)})^{q_{k}}-\varphi,$ where $f$ is a transcendental meromorphic function and $a=a(z)(\not\equiv 0,\infty)$ and ...
W. Lü, B. CHAKRABORTY
doaj   +5 more sources

Further study on the Brück conjecture and some non-linear complex differential equations [PDF]

Arab Journal of Mathematical Sciences, 2021
Purpose – The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture, by using the theory of complex differential equation.
Dilip Chandra Pramanik, Kapil Roy
doaj   +1 more source

Normality and uniqueness of homogeneous differential polynomials

Математичні Студії, 2023
The primary goal of this work is to determine whether the results from [19, 20] still hold true when a differential polynomial is considered in place of a differential monomial.
R. S. Dyavanal, S. B. Kalakoti
doaj   +1 more source

The Poincaré Index on Singular Varieties

J, 2022
In this paper, we discuss a few simple methods for computing the local topological index and its various analogs for vector fields and differential forms given on complex varieties with singularities of different types.
Alexander G. Aleksandrov
doaj   +1 more source

Monomiality Principle and Eigenfunctions of Differential Operators [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
We apply the so‐called monomiality principle in order to construct eigenfunctions for a wide set of ordinary differential operators, relevant to special functions and polynomials, including Bessel functions and generalized Gould‐Hopper polynomials.
Isabel Cação, Paolo E. Ricci
openaire   +4 more sources

Uniqueness of polynomial and differential monomial [PDF]

Acta Universitatis Sapientiae, Mathematica, 2017
Abstract In this paper, we discuss the problem of meromorphic functions sharing small function and present one theorem which extend a result of K. S. Charak and Banarasi Lal [16].
Waghamore Harina P., Husna V.
openaire   +3 more sources

The Periodicity of Entire Functions with Finite Order

Journal of Mathematics, 2021
This paper is concerned with the periodicity of entire functions with finite growth order, and some sufficient conditions are given. Let f is a transcendental entire function with finite growth order, zero is a Picard exceptional value of f, and a given ...
Zhiguo Ren, Guoqiang Dang
doaj   +1 more source

Limit cycles for 3-monomial differential equations

Journal of Mathematical Analysis and Applications, 2015
Agraïments: UNAB10-4E-378. The second author is partially supported by NSFC-11171267 and NSFC-11271027 grants.
Gasull, Armengol, Li, Chengzhi
  +9 more sources