Exemplos de uso de Linear differential em Inglês e suas traduções para o Português
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Regularity and solvability of linear differential operators in spaces of ultradi….
During this time he wrote several papers on the calculus of variations and systems of linear differential equations.
Homogeneous linear differential systems of 1st order with constant coefficients: algebraic resolution.
Let's do another example of solving a nonhomogeneous linear differential equation with a constant coefficient.
Linear differential equations can then be recast in the form of"functions" F(p) of the operator p acting on the unknown function equaling the known function.
Her thesis, titled The extension of Galois theory to linear differential equations, earned her a master's degree in 1904.
P2Â- Nonlinear differential equations:nonlinear models, Linear differential equations(complements), Nonlinear differential equations.
In this dissertation, we study the sturm liouvile's theorems for the zeros of the solutions of linear differential equations of second order.
The basic wave equation is a linear differential equation and so it will adhere to the superposition principle.
To this end,first recasting the equation of kinetic point in the form of a matrix system of linear differential equations of first order.
So in order for this to be a linear differential equation, a of x, b of x, c of x and d of x, they all have to be functions only of x, as I have drawn it here.
The dynamics of the recovery variable can be approximated by a first-order linear differential equation for the probability of channel opening.
When we solve a linear differential equation with phasor arithmetic, we are merely factoring formula_13 out of all terms of the equation, and reinserting it into the answer.
Lexell's method was significant because it was applicable to a broad range of linear differential equations with constant coefficients that were important for physics applications.
The theory of linear differential equations would evidently have a more finished appearance if the problem here sketched could be disposed of by some perfectly general method.
The telegrapher's equations(or just telegraph equations) are a pair of coupled, linear differential equations that describe the voltage and current on an electrical transmission line with distance and time.
The stability of the energy is shown in two ways,namely, it is obtained a general decay rate through perturbed energy method where the memory kernel satisfies a linear differential inequality.
The case where the system dynamics are described by a set of linear differential equations and the cost is described by a quadratic function is called the LQ problem.
Let E and F be two vector bundles over a differentiable manifold M. An R-linear mapping of sections P: Γ(E)→ Γ(F)is said to be a kth-order linear differential operator if it factors through the jet bundle JkE.
Green's functions for the Laplacian==Green's functions for linear differential operators involving the Laplacian may be readily put to use using the second of Green's identities.
The twenty-first problem of the 23 Hilbert problems, from the celebrated list put forth in 1900 by David Hilbert,concerns the existence of a certain class of linear differential equations with specified singular points and monodromic group.
The main result of their theory says very roughly that a linear differential equation can be solved by quadratures if and only if its differential Galois group is connected and solvable.
In 1911 he received a Ph.D. in mathematics from the University of Illinois Urbana-Champaign under Ernest Julius Wilczynski with thesis Invariants of Linear Differential Equations, with Applications to Ruled Surfaces in Five-Dimensional Space.
Framework===Let"L" be the Sturm-Liouville operator, a linear differential operator of the form: formula_7and let"D" be the boundary conditions operator: formula_8Let"f"("x") be a continuous function in 0,"l.
In differential algebra,Picard-Vessiot theory is the study of the differential field extension generated by the solutions of a linear differential equation, using the differential Galois group of the field extension.
When we solve a linear differential equation with phasor arithmetic, we are merely factoring e i ω t{\displaystyle e^{i\omega t}\,} out of all terms of the equation, and reinserting it into the answer.
From a mathematical viewpoint,continuous-time IIR LTI filters may be described in terms of linear differential equations, and their impulse responses considered as Green's functions of the equation.
Consider a linear differential operator with constant coefficients, P( D):=∑ α a α D α{\displaystyle P(D):=\sum_{\alpha}a_{\alpha}\, D^{\alpha}} which acts on smooth functions u{\displaystyle u} with compact support in Rn.
Collatz studied at different universities in Germany including the University of Berlin under Alfred Klose, receiving his doctorate in 1935 for a dissertation entitled"Das Differenzenverfahren mit höherer Approximation für lineare Differentialgleichungen" The finite difference method with higher approximation for linear differential equations.
Motivation=====Linear differential operators with constant coefficients===Consider a linear differential operator with constant coefficients, :formula_1which acts on smooth functions formula_2 with compact support in R"n.