Positive solutions for a class of singular semipositone boundary value problems

✍ Scribed by S. Staněk

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 571 KB
• Volume: 33
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(00)00249-1

✦ Synopsis

The paper presents sufficient conditions for the existence of positive solutions to the singular boundary value problem I" = pq(t)f(t, z,z'), W(O) -&T'(O) = a > 0, z(T) = 0 with q > 0 on (O,T), f 2 0 on a suitable subset of (O,T] x (0,oo) x R which may be singular at z = 0 and where either a, p E (0,oo) or a = 0, fl = 1. Proofs are based on regularity and sequential techniques.