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Integral equations, -forcing, remarkable resolvent: Liapunov functionals

✍ Scribed by T.A. Burton

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
232 KB
Volume
68
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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The defining property of an integral equation with resolvent R(t, s) is the relation between a(t) and t 0 R(t, s)a(s)ds for functions a(t) in a given vector space. We study the behaviour of a solution of an integral equation: We show that the integral t 0 R(t, s)a 2 (s)ds so closely approximates a

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Zusammenfassung. In der Arbeit werden lineare FREDHoLMsche Integralgleichungen der Form D betrachtet, wobei l? und P bez. der Variablen y schwach korrelierte zufallige Funktionen sind. Neben allgemeinen Aussagen zur stochastischen Konvergenz der Losung werden fur K ( x , y) = D(x, y) G(y) Grenzwert