AbstractEquations of the form Eẋ = Ax + u, with E and A square matrices and E singular, are considered. The controversy that exists in the literature concerning the solutions of such equations is investigated. Solutions are arrived at through an application of singular perturbation theory
AbstractWe use elementary methods and operator identities to solve linear matrix differential equati...
For the elliptic type of differential equation with two singular coefficients, the quadratic values ...
The variation of the eigenvalues and eigenfunctions of an ordinary linear self-adjoint differential ...
AbstractEquations of the form Eẋ = Ax + u, with E and A square matrices and E singular, are consider...
AbstractA singular matrix A is perturbed algebraically to obtain a nonsingular matrix B. Particular ...
AbstractThe solution of the linear matrix equations (i) AXB+CYD=E and (ii) (AXB, FXG)=(E, H) are con...
This thesis treats analytically and geometrically singular solutions of ordinary and partial differe...
AbstractA method allowing to construct successively all linearly independent solutions of systems of...
Let A ,B be n×n matrices of complex numbers. Let G a vector-valued function of the real variable t. ...
A block-diagonalization theorem for the equation $e^{¥sigma}dy/dx=x^{¥tau}A(x, ¥mu, ¥epsilon)y $ acc...
AbstractGiven a system of linear differential equations near an irregular singularity of pole type, ...
AbstractSingularly perturbed nonlinear differential/algebraic equations (DAE's) are considered, whic...
In this text we focus on systems of two linear ordinary differential equations wherein some of the c...
AbstractThe first result of the paper concerns the effect of perturbation of the entire coefficients...
AbstractThe purpose of this paper is to demonstrate the applicability of the theory of operator equa...
AbstractWe use elementary methods and operator identities to solve linear matrix differential equati...
For the elliptic type of differential equation with two singular coefficients, the quadratic values ...
The variation of the eigenvalues and eigenfunctions of an ordinary linear self-adjoint differential ...
AbstractEquations of the form Eẋ = Ax + u, with E and A square matrices and E singular, are consider...
AbstractA singular matrix A is perturbed algebraically to obtain a nonsingular matrix B. Particular ...
AbstractThe solution of the linear matrix equations (i) AXB+CYD=E and (ii) (AXB, FXG)=(E, H) are con...
This thesis treats analytically and geometrically singular solutions of ordinary and partial differe...
AbstractA method allowing to construct successively all linearly independent solutions of systems of...
Let A ,B be n×n matrices of complex numbers. Let G a vector-valued function of the real variable t. ...
A block-diagonalization theorem for the equation $e^{¥sigma}dy/dx=x^{¥tau}A(x, ¥mu, ¥epsilon)y $ acc...
AbstractGiven a system of linear differential equations near an irregular singularity of pole type, ...
AbstractSingularly perturbed nonlinear differential/algebraic equations (DAE's) are considered, whic...
In this text we focus on systems of two linear ordinary differential equations wherein some of the c...
AbstractThe first result of the paper concerns the effect of perturbation of the entire coefficients...
AbstractThe purpose of this paper is to demonstrate the applicability of the theory of operator equa...
AbstractWe use elementary methods and operator identities to solve linear matrix differential equati...
For the elliptic type of differential equation with two singular coefficients, the quadratic values ...
The variation of the eigenvalues and eigenfunctions of an ordinary linear self-adjoint differential ...
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