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On the structure of the solution set of a third kind boundary value problem

✍ Scribed by Sin–Ei Takahasi; Hirokazu Oka; Takeshi Miura

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
133 KB
Volume
257
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We show that given any closed subset C of a real Banach space E, there is a continuous function f(t, x) which is Lipschitz continuous in its second variable such that the solution set of the corresponding third kind boundary value problem is homeomorphic to C (Theorem 1.1). In the special problem we give the infimum of Lipschitz constants L~f~ of such functions f(t, x) (Theorem 1.3).

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