Results 21 to 30 of about 815,798 (337)

Improvement of the nullspace matrix method of differential equation type for motion analysis of multibody systems

open access: yesNihon Kikai Gakkai ronbunshu, 2018
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
doaj   +1 more source

The Solution Space of the Unitary Matrix Model String Equation and the Sato Grassmannian [PDF]

open access: yes, 1991
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
core   +5 more sources

An Efficient Numerical Scheme for Solving Multiorder Tempered Fractional Differential Equations via Operational Matrix

open access: yesJournal of Mathematics, 2022
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
doaj   +1 more source

PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians [PDF]

open access: yes, 2007
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
core   +2 more sources

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

open access: yesНаука. Инновации. Технологии, 2022
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]

open access: yes, 1917
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
core   +1 more source

A formula for complex zonal polynomials of second order

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2009
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
doaj   +1 more source

Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations

open access: yesResults in Physics, 2020
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
doaj   +1 more source

Inverse properties of a class of seven-diagonal (near) Toeplitz matrices

open access: yesSpecial Matrices, 2021
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
doaj   +1 more source

Conjugate Points of Vector-Matrix Differential Equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1977
The system of equations \[ ∑ k = 0 n ( − 1 ) n − k
openaire   +1 more source

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