Meiqiang Feng

Positive solutions for a class of m-point singular boundary value problems

This paper concerns the existence and multiplicity of positive solutions for a class of m-point singular boundary-value problems of second-order differential equations Lx=@lw(t)f(t,x),0

Multiple positive solutions for a class of m-point boundary value problems☆

Abstract Using a specially constructed cone and the fixed point index theory, this work shows the existence of multiple positive solutions for a class of m-point Sturm–Liouville boundary value problems for second-order differential equations λ x ″ + g ( t ) f ( t , x ) = 0 , where λ > 0 and g ( t ) is L p -integrable.

Triple positive solutions for a class of m-point dynamic equations on time scales with p-Laplacian

This paper deals with a class of second-order nonlinear m-point dynamic equation on time scales with one-dimensional p-Laplacian. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is that the nonlinear term f is involved with the first-order delta derivative explicitly. Meanwhile, an example is worked out to demonstrate the main results.