Results 11 to 20 of about 815,798 (337)
Non-commutative NLS-type hierarchies: Dressing & solutions [PDF]
Nuclear Physics B, 2019 We consider the generalized matrix non-linear Schrödinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Anastasia Doikou +2 more
doaj +4 more sources
Advances in Difference Equations, 2021 In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
doaj +1 more source
Solving Differential Matrix Equations using Parareal [PDF]
PAMM, 2016 AbstractDifferential matrix equations appear in many applications like optimal control of partial differential equations, balanced truncation model order reduction of linear time varying systems and many more. Here, we will focus on differential Riccati equations (DRE).
Köhler, M., Lang, N., Saak, J.
openaire +2 more sources
Open Physics, 2022 Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha +8 more
doaj +1 more source
Oscillation of Superlinear Matrix Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1989 The main purpose of this paper is to extend to matrix differential equations the classic theorem of \textit{F. V. Atkinson} [Pac. J. Math. 5, 643-647 (1955; Zbl 0065.320)], that a necessary and sufficient condition for the solutions of \(y''=f(t)y^{2n+1}\) to be oscillatory is that \(\int^{\infty}_{0}tf(t)dt=\infty\).
Ahlbrandt, Calvin D. +2 more
openaire +2 more sources
Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
doaj +1 more source
Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]
, 2009 A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin +12 more
core +2 more sources
Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
core +3 more sources
Lax matrix solution of c=1 Conformal Field Theory [PDF]
, 2014 To a correlation function in a two-dimensional conformal field theory with the central charge $c=1$, we associate a matrix differential equation $\Psi' = L \Psi$, where the Lax matrix $L$ is a matrix square root of the energy-momentum tensor.
Eynard, Bertrand, Ribault, Sylvain
core +5 more sources
$\Psi$-bounded solutions for a Lyapunov matrix differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
doaj +1 more source