Analysis of the Dynamical System \boldmath{$\dot{x}(t)=A\,x(t)+h(t,x(t)), \; x(t_0)=x_0$} in a Special Time-Dependent Norm

Author:

Kohaupt Ludwig

Publisher

Communications in Advanced Mathematical Sciences

Subject

General Medicine

Reference6 articles.

1. [1] L. Kohaupt, Computation of optimal two-sided bounds for the asymptotic behavior of free lineardynamical systems with application of the differential calculus of norms, Journal of ComputationalMathematics and Optimization 2(3)(2006)127-173.

2. [2] L. Kohaupt, Construction of a biorthogonal system of principal vectors of the matrices A andA* with applications to the initial value problem dx/dt = Ax; x(t0) = x0, Journal of ComputationalMathematics and Optimization 3(3)(2007)163-192.

3. [3] L. Kohaupt, Solution of the matrix eigenvalue problem V A + A*V = \mu V with applications tothe study of free linear systems, J. Comp. Appl. Math. 213(1)(2008)142-165.

4. [4] L. Kohaupt, Biorthogonalization of the principal vectors for the matrices A and A* with applicationto the computation of the explicit representation of the solution x(t) of dx/dt = Ax; x(t_0) = x_0,Applied Mathematical Sciences 2(20)(2008)961-974.

5. [5] L. Kohaupt, Two-sided bounds for the asymptotic behavior of free nonlinear vibration systemswith application of the differential calculus of norms, International Journal of Computer Mathematics87(3) (2010) 653-667.

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