MULTIPLE POSITIVE SOLUTIONS OF SINGULAR DIRICHLET SECOND-ORDER BOUNDARY-VALUE PROBLEMS WITH DERIVATIVE DEPENDENCE

作者：Agarwal Ravi P^*; O'Regan Donal; Yan Baoqiang

来源：Journal of Dynamical and Control Systems, 2009, 15(1): 1-26.

DOI：10.1007/s10883-008-9060-x

• Boundary-value problems
• singularity
• fixed-point index

The existence of multiple positive solutions for the singular Dirichlet boundary-value problem
x '' Phi(t)f(t, x(t), x'(t)) = 0, 0 < t < 1,
x(0) = 0, x(1) = 0,
is presented by using the fixed point index; here f may be singular at x = 0.

• 出版日期2009-1
• 单位山东师范大学