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Nonlinear integral operators and chaos in Banach spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
Sufficient conditions are given for chaotic behaviour of continuous transformations on Banach spaces. The conditions avoid the requirement that mappings be expanding on compact sets and are probably easier to verify for many classes of operator equations than existing criteria. Two classes of integral operators on C[0, 1] are considered in the light of these results: one nonlinear but compact, the second noncompact.
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- Copyright © Australian Mathematical Society 1987
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