Results 31 to 40 of about 66,071 (297)

Some Systems of Transcendental Equations

Journal of Siberian Federal University. Mathematics & Physics, 2022
Several examples of transcendental systems of equations are considered. Since the number of roots of such systems, as a rule, is infinite, it is necessary to study power sums of the roots of negative degree. Formulas for finding residue integrals, their relation to power sums of a negative degree of roots and their relation to residue integrals ...
openaire   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Inelastically scattering particles and wealth distribution in an open economy

, 2003
Using the analogy with inelastic granular gasses we introduce a model for wealth exchange in society. The dynamics is governed by a kinetic equation, which allows for self-similar solutions.
A. Baldassarri, A. Baldassarri, A. Blank, A. Chakraborti, A. Chatterjee, A. Drăgulescu, A. Drăgulescu, A. Drăgulescu, A. Drăgulescu, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, A. Y. Abul-Magd, A.-L. Barabási, D. Ben-Avraham, D. J. Watts, D. Sornette, D. Sornette, D. Sornette, E. Barkai, E. Ben-Naim, E. Ben-Naim, E. Ben-Naim, František Slanina, H. Aoyama, H. M. Jaeger, H. Takayasu, I. Ispolatov, J. R. Iglesias, J.-P. Bouchaud, M. Gligor, M. H. Ernst, M. H. Ernst, M. H. Ernst, M. H. Ernst, M. Levy, M. Levy, M. Levy, M. Marsili, O. Biham, P. L. Krapivsky, S. Ispolatov, S. Pianegonda, S. Sinha, S. Solomon, T. Antal, W. J. Reed, W. Souma, Z.-F. Huang, Z.-F. Huang   +49 more
core   +1 more source

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, Cunjun Ruan, Xingyun Zhang, Shahid Ullah   +3 more
doaj   +1 more source

Meromorphic solutions of $ f^{n}+P_{d}(f) = p_{1}e^{\alpha_{1}z}+p_{2}e^{\alpha_{2}z}+p_{3}e^{\alpha_{3}z} $

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
doaj   +1 more source

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.
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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.
core   +2 more sources