Results 1 to 10 of about 369 (181)

Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients

Applied Mathematics in Science and Engineering, 2023
The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
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Growth of solutions to two systems of q-difference differential equations

Advances in Difference Equations, 2020
This paper is devoted to studying the growth of entire or meromorphic solutions to two systems of q-difference differential equations. The estimates on the growth order of meromorphic solutions are obtained, which are extensions of previous results due ...
Hongqiang Tu, Wenjun Yuan
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Meromorphic solutions of the (2 + 1)- and the (3 + 1)-dimensional BLMP equations and the (2 + 1)-dimensional KMN equation

Demonstratio Mathematica, 2021
The complex method is systematic and powerful to build various kinds of exact meromorphic solutions for nonlinear partial differential equations on the complex plane C{\mathbb{C}}.
Dang Guoqiang
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On the meromorphic solutions of a certain type of nonlinear difference-differential equation [PDF]

Mathematica Bohemica, 2023
The main objective of this paper is to give the specific forms of the meromorphic solutions of the nonlinear difference-differential equation f^n(z)+P_d(z,f)=p_1(z){\rm e}^{\alpha_1(z)}+p_2(z){\rm e}^{\alpha_2(z)}, where $P_d(z,f)$ is a difference ...
Sujoy Majumder, Lata Mahato
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On meromorphic solutions of the equations related to the first Painlevé equation

Журнал Белорусского государственного университета: Математика, информатика, 2022
In this paper, we consider the generalised hierarchy of the first Painlevé equation which is a sequence of polynomial ordinary differential equations of even order that have a uniform differential-algebraic structure determined by the operator L~n.
Elena V. Gromak
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On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations [PDF]

Opuscula Mathematica, 2017
In this paper, we investigate the growth of meromorphic solutions of the linear differential equation \[f^{(k)}+h_{k-1}(z)e^{P_{k-1}(z)}f^{(k-1)}+\ldots +h_{0}(z)e^{P_{0}(z)}f=0,\] where \(k\geq 2\) is an integer, \(P_{j}(z)\) (\(j=0,1,\ldots ,k-1\)) are
Karima Hamani, Benharrat Belaïdi
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Existence and convergence results of meromorphic solutions to the equilibrium system with angular velocity

Boundary Value Problems, 2019
We study the equilibrium system with angular velocity for the prey. This system is a generalization of the two-species equilibrium model with Neumann type boundary condition.
Bo Meng
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Solvability of a New q-Differential Equation Related to q-Differential Inequality of a Special Type of Analytic Functions

Fractal and Fractional, 2021
The current study acts on the notion of quantum calculus together with a symmetric differential operator joining a special class of meromorphic multivalent functions in the puncher unit disk.
Ibtisam Aldawish, Rabha W. Ibrahim
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Order of growth of solutions to algebraic differential equations in the unit disk

International Journal of Mathematics and Mathematical Sciences, 2004
S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth.
D. Benbourenane, L. R. Sons
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Growth of meromorphic solutions of linear difference equations without dominating coefficients

Journal of Inequalities and Applications, 2019
This paper is devoted to studying the growth of meromorphic solutions of difference equation Pn(z)f(z+n)+Pn−1f(z+n−1)+⋯+P1(z)f(z+1)+P0(z)f(z)=0, $$ P_{n}{(z)}f(z+n)+P_{n-1}f(z+n-1)+\cdots +P_{1}{(z)}f(z+1)+P_{0}{(z)}f(z)=0, $$ where the coefficients Pj ...
Dong-Mei Wei, Zhi-Gang Huang
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