linear differential equations

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linear differential equations

Equations whose solutions are linear, which differ from nonlinear differential equations that cannot be solved analytically.
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As a mathematical model for describing axisymmetric motions of a circular cylindrical shell the following simple system of linear differential equations of hyperbolic type was used
The Lagrange method of variation of constants in the case of an nth order areolar linear differential equation.
In particular, its minimal order homogeneous linear differential equation is Fuchsian and it has only rational exponents.
The formalism with nth-order linear differential equations is developed for obtaining equivalent differential systems of n first-order linear equations.
Linear Differential Equations with Delayed Arguments, Nauka, Moskow
Since, for a linear differential equation, the flow is independent of Y, so [sigma]([y.
Using the notations and assumptions given in the preceding section, recently Jung (5) proved the Hyers-Ulam stability of the system of first order linear differential equations with constant coefficients.
Ger type stability of first order linear differential equation y' = [lambda]y for entire functions was studied in (11), where [lambda] [member of] [C.
The solution of general two-variable second-order linear differential equations in Section 2 is applied to this transformed equation.
XI] has generalized the classical Lyapunov inequality for the linear differential equation
These polynomials, called Freud-type orthogonal polynomials, satisfy a second order linear differential equation with varying polynomial coefficients.
15] Walter Leighton, The detection of the oscillation of solutions of a second order linear differential equation, Duke Math.
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