The Fredholm Alternative for Functional Diierential Equations of Mixed Type
نویسنده
چکیده
We prove a Fredholm alternative theorem for a class of asymptotically hyperbolic linear diierential diierence equations of mixed type. We also establish the cocycle property and the spectral ow property for such equations, providing an eeective means of calculating the Fredholm index. Such systems can arise from equations which describe traveling waves in a spatial lattice.
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