Abstract
In a recent paper Levin and Shea give sufficient conditions in order that a bounded solution x(t) of an integral equation can be expressed in the form x(t)= ∑ m- ∞ψm(t)ym(t)+η(t), (E) where {ym} is a sequence of solutions of the limiting equations, {ψm} is a "ψ sequence" and η(t) → 0 as t → ∞. In this paper we show that the expansion (E) is really a consequence of a topological-dynamical principle when one views the solutions of the integral equation as generating a semiflow in the sense of Miller and Sell.
Original language | English (US) |
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Pages (from-to) | 388-396 |
Number of pages | 9 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 43 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1973 |
Externally published | Yes |
Bibliographical note
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