"General existence principles for nonlocal boundary value problems with" by Ravi P. Agarwal, Donal O'Regan et al.
 

Document Type

Article

Publication Title

Abstract and Applied Analysis

Abstract

The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems of the form (ø(x′)) ′ = f1(t,x,x′) + f2(t,x,x′)F 1X + f3(t,x,x′)f2x,α(x) = 0, β(x) = 0, where fj satisfy local Carathéodory conditions on some [0,T] × Dj ⊂ ℝ, fj are either regular or have singularities in their phase variables (j = 1,2,3), f i, : C1[0.T] → C0[0,T] (i = 1,2), and α,β : C1[0.T] → ℝ are continuous. The proofs are based on the Leray-Schauder degree theory and use regularization and sequential techniques. Applications of general existence principles to singular BVPs are given.

First Page

1

Last Page

30

DOI

10.1155/AAA/2006/96826

Publication Date

5-12-2005

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