Glasnik matematički, Vol. 36 No. 1, 2001.
Original scientific paper
Functional boundary value problems for second order functional differential equations of the neutral type
Svatoslav Stanek
Abstract
The functional differential equation
(x'(t) + L(x')(t))' = F(x)(t)
together with functional boundary conditions is considered. Existence results are proved by the Leray-Schauder degree and the Borsuk theorem for α-condensing operators. We demonstrate on examples that our existence assumptions are optimal.
Keywords
Functional boundary value problem; neutral equation; existence; α-condensing operator; Leray-Schauder degree; Borsuk theorem
Hrčak ID:
4851
URI
Publication date:
1.6.2001.
Visits: 1.044 *