This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of BVP are established. Two examples are presented to illustrate the main results.
Second order differential equation with p-Laplacian, generalized Sturm-Liouville boundary value problem, fixed point theorem in cone
"Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations,"
Turkish Journal of Mathematics: Vol. 35:
1, Article 6.
Available at: https://journals.tubitak.gov.tr/math/vol35/iss1/6