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The existence of countably many positive solutions for some nonlinear th order -point boundary value problems

โœ Scribed by Yude Ji; Yanping Guo

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
772 KB
Volume
232
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, we consider the existence of countably many positive solutions for nth-order m-point boundary value problems consisting of the equation

with one of the following boundary value conditions:

[0, 1] for some p โ‰ฅ 1 and has countably many singularities in [0, 1 2 ). The associated Green's function for the nth order m-point boundary value problem is first given, and we show that there exist countably many positive solutions using Holder's inequality and Krasnoselskii's fixed point theorem for operators on a cone.

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