A second-order singular boundary value problem

✍ Scribed by E.R Kaufmann; N Kosmatov

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 492 KB
• Volume: 47
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(04)90125-3

✦ Synopsis

We study the second-order boundary value problem

where a(t) = [I~=L ai (t) and a,/3,-)% 6 _> 0, a'~ ~-a5 ÷ fi~/> 0. We assume that each ai (t) E L p~: [0, 1] for Pi ~ 1 and that each a~(t) has a singularity in (0, 1). To show the existence of countably many positive solutions, we apply HSlder's inequality and Krasnosel'ski~'s fixed-point theorem for operators on a cone. (~) 2004 Elsevier Ltd. All rights reserved.