Existence of solutions of boundary value problems for functional differential equations

S. K. Ntouyas and P. Ch. Tsamatos

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-8

Abstract:

In this paper, using a simple and classical application of the Leray-Schauder degree theory, we study the existence of solutions of the following boundary value problem for functional differential equations x ″ ( t ) + f ( t , x t , x ′ ( t ) ) = 0 , t ∈ [ 0 , T ] x 0 + α x ′ ( 0 ) = h x ( T ) + β x ′ ( T ) = η where f ∈ C ( [ 0 , T ] × C r × ℝ n , ℝ n ) , h ∈ C r , η ∈ ℝ n and α , β , are real constants.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:271093

DOI: 10.1155/S0161171291000698

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