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The Fredholm Alternative for Functional Differential Equations of Mixed Type (1999)

Mallet-Paret, John

Springer

Journal of dynamics and differential equations 11 (1999), S. 1-47

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Details

ISSN: 1572-9222

Schlagwort(e): Fredholm alternative ; exponential dichotomy ; functional differential equations

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract We prove a Fredholm alternative theorem for a class of asymptotically hyperbolic linear differential difference equations of mixed type. We also establish the cocycle property and the spectral flow property for such equations, providing an effective means of calculating the Fredholm index. Such systems can arise from equations which describe traveling waves in a spatial lattice.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1021889401235

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