Multiple rositive solutions for a three-point boundary value problem

✍ Scribed by D. Anderson

• Book ID: 104351660
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 552 KB
• Volume: 27
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(98)00028-4

✦ Synopsis

We will find conditions on _f that lead to the existence of at least three positive solutions to the three-point boundary value problem --5"'(t) + f(z(t)) = 0, with z(O) = s'(te) = z"(1) = 0, on [O, 11, where ta E [l/2,1). A positive solution will mean a solution in the cone of nonnegative functions in the Banach space C[O, l] with the sup norm.