Solvability of a second-order singular boundary-value problem

Abstract

Using the barrier strips technique, we study the existence of solutions to the boundary-value problem $$displaylines{ x''=f(t,x,x'),quad tin(0,1),cr x'(0)=A,quad x(1)=Bx'(1)+C, }$$ where the scalar function f may be singular at t=0.

Keywords

• Boundary value problem
• second order differential equation
• singularity
• sign conditions