Results 21 to 30 of about 815,798 (337)
In a previous report, the author presented a motion analysis method for rigid multibody systems, called nullspace matrix method of differential equation type.
Keisuke KAMIYA
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The Solution Space of the Unitary Matrix Model String Equation and the Sato Grassmannian [PDF]
The space of all solutions to the string equation of the symmetric unitary one-matrix model is determined. It is shown that the string equation is equivalent to simple conditions on points $V_1$ and $V_2$ in the big cell $\Gr$ of the Sato Grassmannian ...
A. Schwarz +40 more
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In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is ...
Abiodun Ezekiel Owoyemi +2 more
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PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians [PDF]
Matrix quasi exactly solvable operators are considered and new conditions are determined to test whether a matrix differential operator possesses one or several finite dimensional invariant vector spaces.
Ancilla Nininahazwe +8 more
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NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya +1 more
doaj
A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]
For the matrix neutral difference-differential equation ẋ(t) + Aẋ(t − τ) Bx(t) + Cx(t − τ) we construct a quadratic Liapunov functional which gives necessary and sufficient conditions for the asymptotic stability of the solutions of that equation. We
Fukuchi, N. +6 more
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A formula for complex zonal polynomials of second order
A formula for complex zonal polynomials of second order is derived by solving a particular partial differential equation. Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’s differential equation.
Francisco J. Caro Lopera +2 more
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A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
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Inverse properties of a class of seven-diagonal (near) Toeplitz matrices
This paper presents the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equation with a finite difference method.
Kurmanbek Bakytzhan +2 more
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Conjugate Points of Vector-Matrix Differential Equations [PDF]
The system of equations \[ ∑ k = 0 n ( − 1 ) n − k
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