Results 31 to 40 of about 1,429,804 (373)
Journal 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]
, 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
Nihon 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
Weakly nonlinear boundary value problem for a matrix differential equation
, 2016 We set forth solvability conditions and construction of the generalized Green operator for Noetherian linear boundary value problem for the matrix differential equations and solvability conditions and the constructive scheme for constructing solutions of
S. Chuiko
semanticscholar +1 more source
NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR
Наука. 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
Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties
, 2015 This paper is devoted to the study of reverse generalized Bessel matrix polynomials (RGBMPs) within complex analysis. This study is assumed to be a generalization and improvement of the scalar case into the matrix setting.
M. Abul-dahab +3 more
semanticscholar +1 more source
Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations [PDF]
SIAM Journal on Numerical Analysis, 2018 We propose a numerical integrator for determining low-rank approximations to solutions of large-scale matrix differential equations. The considered differential equations are semilinear and stiff.
A. Ostermann, Chiara Piazzola, H. Walach
semanticscholar +1 more source
Results 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
Fredholm determinants, differential equations and matrix models [PDF]
Communications in Mathematical Physics, 1994 Orthogonal polynomial random matrix models of NxN hermitian matrices lead to Fredholm determinants of integral operators with kernel of the form (phi(x) psi(y) - psi(x) phi(y))/x-y. This paper is concerned with the Fredholm determinants of integral operators having kernel of this form and where the underlying set is a union of open intervals.
Tracy, Craig A., Widom, Harold
openaire +7 more sources
A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]
, 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