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Continuity , Compactness , Fixed Points , and Integral Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Burton, T. A. Makay, Géza |
| Abstract | An integral equation, x(t) = a(t) − ∫ t −∞ D(t, s)g(x(s))ds with a(t) bounded, is studied by means of a Liapunov functional. There results an a priori bound on solutions. This gives rise to an interplay between continuity and compactness and leads us to a fixed point theorem of Schaefer type. It is a very flexible fixed point theorem which enables us to show that the solution inherits properties of a(t), including periodic or almost periodic solutions in a Banach space. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.maths.soton.ac.uk/EMIS/journals/EJQTDE/p90.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/EJQTDE/p90.pdf |
| Alternate Webpage(s) | http://www.emis.de/journals/EJQTDE/p90.pdf |
| Alternate Webpage(s) | http://directory.umm.ac.id/Journals/Journal_of_mathematics/EJQTDE/p90.pdf |
| Alternate Webpage(s) | http://emis.maths.tcd.ie/EMIS/journals/EJQTDE/p90.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Almost periodic function Fixed point (mathematics) Fixed-Point Number Fixed-point theorem Kinetic data structure Scott continuity Solutions |
| Content Type | Text |
| Resource Type | Article |