An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing nonlinearities

作者：Lue Haishen; O'Regan Donal; Agarwal Ravi P

来源：Mathematical Inequalities & Applications, 2008, 11(1): 81-98.

• singular boundary value problems
• positive solution
• upper and lower solution

This paper presents new existence results for the singular boundary value problem
{-u '' = g(t,u) + lambda h(t,u), t epsilon (0,1) u(0) = 0 = u(1).
In particular our nonlinearity may be singular at t = 0, 1 and u = 0 and is allowed to change sign. Existence in this paper will be established by obtaining a sequence of upper and lower solutions which in turn will generate a sequence of approximate solutions.

• 出版日期2008-1
• 单位河海大学