Regularity of functional equations on manifolds |
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| Authors: | A. Járai |
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| Affiliation: | E?tv?s Loránd University, Department of Computer Algebra, Budapest, Pázmány Péter sétány 1/C, H-1117 Hungary? e-mail: ajarai@moon.inf.elte.hu, HU
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| Abstract: | Summary. In this paper the regularity properties of the functional equation¶¶ f (t) = h(t, y, f (g1(t, y)), ... , f (gn(t,y))) f (t) = h(t, y, f (g_{1}(t, y)), ... , f (g_{n}(t,y))) ¶ on a Cal C￥ {Cal C}^infty manifold for the unknown function f are treated. Under general conditions it is proved that solutions which are measurable or have the Baire property are in Cal C￥ {Cal C}^infty . |
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