Results 1 to 10 of about 1,468,677 (198)

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   +7 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
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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
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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
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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

Characteristic estimation of differential polynomials

Journal of Inequalities and Applications, 2021
In this paper, we give the characteristic estimation of a meromorphic function f with the differential polynomials f l ( f ( k ) ) n $f^{l}(f^{(k)})^{n}$ and obtain that T ( r , f ) ≤ M N ‾ ( r , 1 f l ( f ( k ) ) n − a ) + S ( r , f ) $$\begin{aligned ...
Min-Feng Chen, Zhi-Bo Huang
doaj   +1 more source

Wall-crossing of TBA equations and WKB periods for the third order ODE

Nuclear Physics B, 2022
We study the WKB periods for the third order ordinary differential equation (ODE) with polynomial potential, which is obtained by the Nekrasov-Shatashvili limit of (A2,AN) Argyres-Douglas theory in the Omega background.
Katsushi Ito, Takayasu Kondo, Hongfei Shu   +2 more
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Further investigations on a question of Zhang and Lü

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015
In the paper taking the question of Zhang and Lü [15] into background, wepresent one theorem which will improve and extend results of Banerjee-Majumdar [2] and arecent result of Li-Huang [9].
Abhijit Banerjee, Bikash Chakraborty
doaj   +1 more source

Exact Closed-Form Solution for the Oscillator with a New Type of Mixed Nonlinear Restitution Force

Mathematics, 2023
This paper shows an oscillator with a spring made of material where the stress is a function not only of strain but also strain rate. The corresponding restitution force is of strong nonlinear monomial type and is the product of displacement and velocity
Livija Cveticanin
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