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A Two-Point Problem with Nonlinearity Depending Only on the Derivative

โœ Scribed by Habets, P.; Sanchez, L.


Book ID
118200156
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
241 KB
Volume
28
Category
Article
ISSN
0036-1410

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We study the existence of solutions for the following problem: ## u"(t) + u(t) + g (u'(t)) = f(t), t E (0, 7r), u(O) = u(~) = O, (1) where f E C[0, ~], g E C(R) is bounded and has limits limu~ยฑoo g(u). We also give information on the set of f for those that solution exists, relating it with the