Existence of Three Positive Solutions to Nonlinear Boundary Value Problems

摘要

Criteria are established for existence of three solutions to the boundary value problems Lx = f(t,x), w_1x(0) - w_2x'(0) = 0 = w_3x(1) + w_4x'(1), where Lx := -(px')' + qx. Here, p € C~1[0,1], p>0,q€C[0,1],q≥0.