Electronic Resource
Springer
Journal of dynamics and differential equations
11 (1999), S. 1-47
ISSN:
1572-9222
Keywords:
Fredholm alternative
;
exponential dichotomy
;
functional differential equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1021889401235
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