Functional Boundary Value Problems without Growth Restrictions
نویسنده
چکیده
Let J = [O,TJ and F : C°(J) x C°(J) x lH'.--7 Ll(J) be an operator. Existence theorems for the functional differential equation (g(x'(t)))' = (F(x,x',x'(t)))(t) with functional boundary conditions generalizing the non-homogeneous Dirichlet boundary conditions and nonhomogeneous mixed boundary conditions are given. Existence results are proved by the Leray-Schauder degree theory under some sign conditions imposed upon F.
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تاریخ انتشار 2006