Results 81 to 90 of about 14,489,673 (236)

Analysis of a characteristic equation

Journal of Integral Equations and Applications, 1991
The authors investigate a characteristic equation occurring in epidemic models formulated in terms of integro-differential equations, where births and deaths are introduced and the total population size is assumed to be constant. They establish conditions on the two parameters of this equation, under which an equilibrium position is stable.
Hao, Dun-Yuan, Brauer, Fred
openaire   +2 more sources

Visual construction of characteristic equations of linear electric circuits

Electrical engineering & Electromechanics, 2013
A visual identification method with application of partial circuits is developed for characteristic equation coefficients of transients in linear electric circuits.
V.V. Kostyukov , L.N. Kanov
doaj  

Analytic solutions of transcendental equations with application to automatics

Archives of Control Sciences, 2016
In the paper the extremal dynamic error x(τ) and the moment of time τ are considered. The extremal value of dynamic error gives information about accuracy of the system. The time τ gives information about velocity of transient.
Górecki Henryk, Zaczyk Mieczysław
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Mordell's equation in characteristic three [PDF]

Bulletin of the Australian Mathematical Society, 1990
Let K be a function field in one variable over a finite field of characteristic three. If a ∈ K is not a cube, we show that the equation y2 = x3 + a has only finitely many solutions x, y ∈ K.
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THE CHARACTERISTIC EQUATION FOR THE DETERMINATION OF THE VIBRATION INHERENT FREQUENCIES AT BENDING FROM TWO-SHAFTS TRANSMISSION [PDF]

Fiabilitate şi Durabilitate, 2018
To avoid system resonance operation is necessary to know the most accurate values its pulsations and taking appropriate constructive measures to avoid overlapping with disturbing frequency harmonics n,2n,3n (n the transmission speed).
Ion BULAC
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Ince-Gaussian laser beams as superposition of Hermite-Gaussian or Laguerre-Gaussian beams

Компьютерная оптика
We obtain explicit analytic expressions for the Ince-Gaussian (IG) beams for several first indices p = 3, 4, 5, 6. Earlier, explicit expressions have been derived for amplitudes of the IG beams with p = 0, 1, 2 and without regard for the ellipticity ...
E.G. Abramochkin, V.V. Kotlyar, A.A. Kovalev   +2 more
doaj   +1 more source

Behavior of the solutions to second order linear autonomous delay differential equations

Electronic Journal of Differential Equations, 2007
A wide class of second order linear autonomous delay differential equations with distributed type delays is considered. An asymptotic result, a useful exponential estimate of the solutions, a stability criterion, and a result on the behavior of the ...
Ioannis K. Purnaras, Christos G. Philos
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Tamanoi Equation for Orbifold Euler Characteristics Revisited

Proceedings of the Steklov Institute of Mathematics
Tamanoi equation is a Macdonald type equation for the orbifold Euler characteristic and for its analogues of higher orders. It claims that the generating series of the orbifold Euler characteristics of a fixed order of analogues of the symmetric powers for a space with a finite group action can be represented as a certain unified (explicitly written ...
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Delay‐dependent small‐signal stability analysis of inverter‐based islanded microgrids

IET Smart Grid
The stability of an inverter‐based hierarchical microgrid is challenged by inverter controls, network dynamics, load models and communication delays among the interacting agents.
Chaudhry Talha Hassan, Tariq Mahmood Jadoon, Anmar Arif   +2 more
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On the characteristic equation λ = α1 + (α2 + α3λ)e(-λ) and its use in the context of a cell population model. [PDF]

J Math Biol, 2016
Diekmann O, Getto P, Nakata Y.
europepmc   +1 more source