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Generalized averages for solutions of nonlinear systems

โœ Scribed by Xiaojing Yang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
150 KB
Volume
37
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

The average of nonzero solutions of second-order ordinary differential system x' = _lyl2q-2y, yl = f(x), x(tl) = z(t2) = 0 axe obtained if 2q > 1, f(x) ~: CI(R,R), and uf(u) > 0 for

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## Abstract Let __H__(U) be the space of all analytic functions in the unit disk U, and let co__E__ denote the convex hull of the set __E__ โŠ‚ โ„‚. If __K__ โŠ‚ __H__(U) then the operator I : __K__ โ†’ __H__(U) is said to be an __averaging operator__ if For a function __h__ โˆˆ __A__ โŠ‚ __H__(U) we will det