Diagonalisation method in the asymptotical theory for solutions of systems of ODE
Abstract
The question about asymptotical behaviour of solutions for the system x=A x+f for big values of the parameter ∈ A is considered. An approach to the reduction of a large class of problems to easily solvable problem with diagonal coefficient matrix is described. This approach is based on the approximation of summable matrix function A by specially constructed smooth matrix functions.
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