Multiple Solutions for a Class of Multipoint Boundary Value Systems Driven by a One-Dimensional (p(1),..., p(n))-Laplacian Operator

作者：Heidarkhani Shapour^*

来源：Abstract and Applied Analysis, 2012, 389530.

DOI：10.1155/2012/389530

Employing a recent three critical points theorem due to Bonanno and Marano (2010), the existence of at least three solutions for the following multipoint boundary value system - (vertical bar u(i)'|(pi-2)u(i)')' = lambda F-ui(x, u(1),..., u(n)) in (0, 1), u(i)(0) = Sigma(m)(j=1) a(j)u(i)(x(j)), u(i)(1) = Sigma(m)(j=1) b(j)u(i)(x(j)) for 1 <= i <= n, is established.

• 出版日期2012