In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicability by using it to find conditions under which the convergence of solutions of regularly perturbed systems of ordinary differential equations is uniform globally in time
In the present paper we give some necessary conditions that satisfy the solutions of an infinite sys...
2noThis paper addresses how perturbations in the matrix A propagate along the solution of the n-dime...
AbstractA perturbation theorem is proved for ordinary differential equations whose righthand side de...
In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicabi...
In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicabi...
Logarithmic norms are often used to estimate stability and perturbation bounds in linear ODEs. Exten...
In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic norm in ...
A classical perturbation result for nonsingular systems of linear algebraic equations is extended to...
SIGLEAvailable from TIB Hannover: RR 6329(2000,17) / FIZ - Fachinformationszzentrum Karlsruhe / TIB ...
We present a new method (the method of unitary transformations), which differs from the existing one...
We give conditions on the coefficient matrix for certain perturbed linear dynamic equations on time ...
A nonstandard approach to averaging theory for ordinary differential equations and functional differ...
AbstractA convergence criterion for singular perturbations in linear systems is established. The cri...
We consider a linear hyperbolic-parabolic singular perturbation problem and we estimate the converge...
AbstractSeveral perturbation theorems are proved for nonlinear ordinary differential systems x′ = f(...
In the present paper we give some necessary conditions that satisfy the solutions of an infinite sys...
2noThis paper addresses how perturbations in the matrix A propagate along the solution of the n-dime...
AbstractA perturbation theorem is proved for ordinary differential equations whose righthand side de...
In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicabi...
In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicabi...
Logarithmic norms are often used to estimate stability and perturbation bounds in linear ODEs. Exten...
In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic norm in ...
A classical perturbation result for nonsingular systems of linear algebraic equations is extended to...
SIGLEAvailable from TIB Hannover: RR 6329(2000,17) / FIZ - Fachinformationszzentrum Karlsruhe / TIB ...
We present a new method (the method of unitary transformations), which differs from the existing one...
We give conditions on the coefficient matrix for certain perturbed linear dynamic equations on time ...
A nonstandard approach to averaging theory for ordinary differential equations and functional differ...
AbstractA convergence criterion for singular perturbations in linear systems is established. The cri...
We consider a linear hyperbolic-parabolic singular perturbation problem and we estimate the converge...
AbstractSeveral perturbation theorems are proved for nonlinear ordinary differential systems x′ = f(...
In the present paper we give some necessary conditions that satisfy the solutions of an infinite sys...
2noThis paper addresses how perturbations in the matrix A propagate along the solution of the n-dime...
AbstractA perturbation theorem is proved for ordinary differential equations whose righthand side de...
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