Results 161 to 170 of about 14,489,673 (236)

Equations with nonnegative characteristic form. I

Journal of Mathematical Sciences, 2009
This is the second part (Chapters 3--6) of a two-part work which is aimed at presenting the foundations of the general theory of second order partial differential equations with nonnegative characteristic form. It is devoted to the anniversary of the famous Russian mathematician O. A. Oleinik and is based on a series of joint papers of O. A.
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Desired Characteristic Equation Based PID Controller Tuning for Lag-Dominating Processes With Real-Time Realization on Level Control System

IEEE Control Systems Letters, 2021
Ujjwal Manikya Nath, C. Dey, R. Mudi
semanticscholar   +1 more source

ASYMPTOTIC SOLUTIONS OF EQUATIONS WITH COMPLEX CHARACTERISTICS

Mathematics of the USSR-Sbornik, 1974
In this paper we give a method for constructing formal asymptotic solutions. This method uses in some sense "approximate solutions" of the equation of the characteristics and the transport equation. The construction of approximate solutions is brought abount by means of an analogue of the analytic Hamiltonian formalism in a complex phase space ...
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Differential equations in characteristic \(p\)

Compositio mathematica, 1995
Let \(K\) be a differential field of characteristic \(p>0\). The aim of the paper is to classify differential equations over \(K\) and to develop Picard-Vessiot theory and differential Galois groups for these equations. It is supposed that \([K:K^p] = p\) and a choice of \(z\in K \backslash K^p\) is fixed.
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Characteristic manifolds of Einstein's equations

Soviet Physics Journal, 1981
Several classes of coordinate conditions admitting the existence of different types of waves are studied. The velocity of propagation of the latter is not necessarily equal to the fundamental velocity.
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Hyperbolic equations. Method of characteristics

2009
The d’Alembert equation, also called the one-dimensional wave equation, $$\frac{\partial^2u}{\partial t^2}(x,t)=a^2\frac{\partial^2 u}{\partial x^2}+f(x,t), \qquad x\in [0,l], \quad t>0,$$ (1.1) where a > 0 is a constant, describes small transversal oscillations of a stretched string or longitudinal oscillations of an elastic rod.
Alexander Komech, Andrew Komech
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Rate Equations and Operating Characteristics

1986
The previous chapter has discussed the design of various semiconductor laser structures. The usefulness of a specific structure depends on its performance characteristics and how well they match the requirements for a particular application. InGaAsP Lasers operating in the wavelength range of 1.3–1.6 µm have been developed primarily to serve as a light
Govind P. Agrawal, Niloy K. Dutta
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Asymptotic solutions of characteristic equations

Nonlinear Analysis: Real World Applications, 2005
The author considers equations of the form \[ a \lambda^n e^{\lambda b} - c = 0 \quad \text{in } \mathbb{C} \] and the perturbed equations \[ a\lambda^n(1+R_1(\lambda))e^{\lambda b}+R_2(\lambda)-c=0 \quad \text{in } \mathbb{C}_\sigma^-\,. \] Here, \(a\) and \(b\) are positive real numbers, \(n\) is a positive integer, \(c\) is a complex number with \(|
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Analytical characteristic equation of nanofluid loaded active double slope solar still coupled with helically coiled heat exchanger

, 2017
Lovedeep Sahota, Shyam, Gaurav Tiwari
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Characteristic equation for autonomous planar half-linear differential systems

, 2017
M. Onitsuka, Satoshi Tanaka
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