Glasnik matematički, Vol. 34 No. 2, 1999.
Original scientific paper
Functional boundary value problems without growth restrictions
Svatoslav Stanek
Abstract
Let J = [0, T] and F : C0(J) × C0(J) × R → L1(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 non-homogeneous mixed boundary conditions are given. Existence results are proved by the Leray-Schauder degree theory under some sign conditions imposed upon F.
Keywords
Existence; sign conditions; Caratheodory conditions; Leray-Schauder degree
Hrčak ID:
6416
URI
Publication date:
1.12.1999.
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