Results 41 to 50 of about 3,168,134 (332)
On the number of solutions of some transcendental equations [PDF]
Analysis and Mathematical Physics, 2017 We give upper and lower bounds for the number of solutions of the equation $p(z)\log|z|+q(z)=0$ with polynomials $p$ and $q$.
Walter Bergweiler, Alexandre Eremenko
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Growth of Meromorphic Solutions of Some -Difference Equations
Abstract and Applied Analysis, 2013 We estimate the growth of the meromorphic solutions of some complex -difference equations and investigate the convergence exponents of fixed points and zeros of the transcendental solutions of the second order -difference equation.
Guowei Zhang
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Unicity of Meromorphic Solutions of the Pielou Logistic Equation
Discrete Dynamics in Nature and Society, 2020 This paper mainly considers the unicity of meromorphic solutions of the Pielou logistic equation yz+1=Rzyz/Qz+Pzyz, where Pz,Qz, and Rz are nonzero polynomials.
Sheng Li, Baoqin Chen
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Meromorphic solutions of a first order differential equations with delays
Comptes Rendus. Mathématique, 2022 The main purpose of this paper is to study meromorphic solutions of the first order differential equations with delays \begin{equation*} w(z+1)-w(z-1)+a(z)\left(\frac{w^{\prime }(z)}{w(z)}\right)^k=R(z,w(z)) \end{equation*} and \begin{equation*} w(z+1)
Chen, Yu, Cao, Tingbin
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A class of exactly solvable models for the Schrodinger equation
, 2013 We present a class of confining potentials which allow one to reduce the one-dimensional Schroodinger equation to a named equation of mathematical physics, namely either Bessel's or Whittaker's differential equation.
Downing, C. A.
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Complementary Metamaterial Sensor for Nondestructive Evaluation of Dielectric Substrates
Sensors, 2019 In this paper, complementary metamaterial sensor is designed for nondestructive evaluation of dielectric substrates. The design concept is based on electromagnetic stored energy in the complementary circular spiral resonator (CCSR), which is concentrated
Tanveer ul Haq +3 more
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AIMS Mathematics, 2022 By using Nevanlinna of the value distribution of meromorphic functions, we investigate the transcendental meromorphic solutions of the non-linear differential equation $ \begin{equation*} f^{n}+P_{d}(f) = p_{1}e^{\alpha_{1}z}+p_{2}e^{\alpha_{2}z}+p_{3}
Linkui Gao, Junyang Gao
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Electromagnetic surface wave propagation in a metallic wire and the Lambert $W$ function
, 2019 We revisit the solution due to Sommerfeld of a problem in classical electrodynamics, namely, that of the propagation of an electromagnetic axially symmetric surface wave (a low-attenuation single TM$_{01}$ mode) in a cylindrical metallic wire, and his ...
Mendonça, J. Ricardo G.
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Hopf Bifurcation Analysis for the van der Pol Equation with Discrete and Distributed Delays
Discrete Dynamics in Nature and Society, 2011 We consider the van der Pol equation with discrete and distributed delays. Linear stability of this equation is investigated by analyzing the transcendental characteristic equation of its linearized equation.
Xiaobing Zhou, Murong Jiang, Xiaomei Cai
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Existence of Positive Solutions of a Nonlinear Differential Equation with N Delays
Communications, 2014 The equation yt abty t i t n 1 i x=+a = o^^ ^^ hhhh % is considered where n is a positive integer, a,τi and αi,i = 1,2,...,n are positive constants and conditions on function b are formulated such that the considered equation has positive solutions when ...
Maria Kudelcikova
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