TY - JOUR
T1 - Existence of positive solutions to some singular and nonsingular second order boundary value problems
AU - O'Regan, D.
PY - 1990/4
Y1 - 1990/4
N2 - The topological transversality theorem is employed to study existence of solutions to a variety of singular and nonsingular second order boundary value problems of the form y″ + f(t, y, y′) = 0, 0 < t < 1. Here f may be singular at either t = 0, t = 1, y = 0, and/or y′ = 0. The principal tools are the Arzelà-Ascoli theorem, essential maps, and a priori bounds on solutions.
AB - The topological transversality theorem is employed to study existence of solutions to a variety of singular and nonsingular second order boundary value problems of the form y″ + f(t, y, y′) = 0, 0 < t < 1. Here f may be singular at either t = 0, t = 1, y = 0, and/or y′ = 0. The principal tools are the Arzelà-Ascoli theorem, essential maps, and a priori bounds on solutions.
UR - https://www.scopus.com/pages/publications/38249019856
U2 - 10.1016/0022-0396(90)90077-3
DO - 10.1016/0022-0396(90)90077-3
M3 - Article
AN - SCOPUS:38249019856
SN - 0022-0396
VL - 84
SP - 228
EP - 251
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -