This paper deals with the approximation of the eigenvalues of evolution operators for linear retarded functional differential equations through the reduction to finite dimensional operators by a pseudospectral collocation. Fundamental applications such as determination of asymptotic stability of equilibria and periodic solutions of nonlinear autonomous retarded functional differential equations follow at once. Numerical tests are provided.
APPROXIMATION OF EIGENVALUES OF EVOLUTIONOPERATORS FOR LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS / Breda, D.; Maset, Stefano; Vermiglio, R.. - In: SIAM JOURNAL ON NUMERICAL ANALYSIS. - ISSN 0036-1429. - STAMPA. - 50 (3):(2012), pp. 1456-1483. [10.1137/100815505]
APPROXIMATION OF EIGENVALUES OF EVOLUTIONOPERATORS FOR LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS
MASET, STEFANO;
2012-01-01
Abstract
This paper deals with the approximation of the eigenvalues of evolution operators for linear retarded functional differential equations through the reduction to finite dimensional operators by a pseudospectral collocation. Fundamental applications such as determination of asymptotic stability of equilibria and periodic solutions of nonlinear autonomous retarded functional differential equations follow at once. Numerical tests are provided.Pubblicazioni consigliate
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