Leray-Schauder Degree Method in Functional Boundary Value Problems Depending on the Parameter

✍ Scribed by Svatoslav Stanêk

• Publisher: John Wiley and Sons
• Year: 1993
• Tongue: English
• Weight: 558 KB
• Volume: 164
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19931640124

✦ Synopsis

Abstract

Using the Leray‐Schauder degree method sufficient conditions for the one‐parameter boundary value problem x″ = f(t, x, x′, λ), α(x) = A, x(0) − x(1) = B, x′(0) − x′(1) = C, are stated. The application is given for a class of functional boundary value problems for nonlinear third‐order functional differential equations depending on the parameter.