Fixed point theorems and dissipative processes.

J. Hale,Orlando Lopes

Published 1973 in Journal of Differential Equations

ABSTRACT

The deficiencies of the theories that characterize the maximal compact invariant set of T as asymptotically stable, and that some iterate of T has a fixed point are discussed. It is shown that this fixed point condition is always satisfied for condensing and local dissipative T. Applications are given to a class of neutral functional differential equations.

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