Existence principles for second order nonresonant boundary value problems. (1994)

• Record Type: Journal Article
• Authors: O'Regan, Donal
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 7:Number 4(1994)
• Page Start: 487
• Page End: 507
• Publication Date: 1994
• Subjects: existence -- singular -- nonresonant -- boundary value problems -- Sturm Liouville problems; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953394000389
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : We discuss the two point singular “nonresonant” boundary value problem 1 p ( p y ′ ) ′ = f ( t, y, p y ′ ) a.e. on [ 0, 1 ] with y satisfying Sturm Liouville, Neumann, Periodic or Bohr boundary conditions. Here f is an L 1 -Carathéodory function and p ∈ C [ 0, 1 ] ∩ C 1 ( 0, 1 ) with p > 0 on ( 0, 1 ) .