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Glasnik matematički, Vol. 34 No. 2, 1999.

Original scientific paper

Functional boundary value problems without growth restrictions

Svatoslav Stanek

Full text: english pdf 1.043 Kb

page 223-242

downloads: 364

cite

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

https://hrcak.srce.hr/6416

Publication date:

1.12.1999.

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