Singular Nonlinear (k, n−k) Conjugate Boundary Value Problems

✍ Scribed by Paul W. Eloe; Johnny Henderson

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 377 KB
• Volume: 133
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1996.3207

✦ Synopsis

For 1 k n&1, solutions are obtained for the boundary value problem, (&1) n&k y (n) = f(x, y), y (i) (0)=0, 0 i k&1, and y ( j) (1)=0, 0 j n&k&1, where f (x, y) is singular at y=0. An application is made of a fixed point theorem for operators that are decreasing with respect to a cone. 1997 Academic Press 1 0 f (x, y) dx< , for each fixed y, article no.