APPROXIMATION OF EIGENVALUES OF EVOLUTION OPERATORS FOR LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

作者：Breda D^*; Maset S; Vermiglio R

来源：SIAM Journal on Numerical Analysis, 2012, 50(3): 1456-1483.

DOI：10.1137/100815505

• retarded functional differential equations
• eigenvalue approximation
• evolution operators
• pseudospectral collocation

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.

• 出版日期2012