Large time behaviour for functional differential equations with dominant eigenvalues of arbitrary order |
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| Authors: | Miguel VS Frasson |
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| Institution: | aInstituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil |
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| Abstract: | The spectral theory for linear autonomous neutral functional differential equations (FDE) yields explicit formulas for the large time behaviour of solutions. Our results are based on resolvent computations and Dunford calculus, applied to establish explicit formulas for the large time behaviour of solutions of FDE. We investigate in detail a class of two-dimensional systems of FDE. |
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| Keywords: | Mathematical analysis Functional differential equations Asymptotic behaviour Large time behaviour Spectral theory Dunford calculus |
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