Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities

作者：An Yulian^*

来源：Boundary Value Problems, 2011, 715836.

DOI：10.1155/2011/715836

We consider the nonlinear eigenvalue problems u '' + lambda f(u) = 0, 0 < t < 1, u(0) = 0, u(1) = Sigma(m-2)(i=1) alpha(i)u(eta(i)), where m >= 3, eta(i) is an element of (0, 1), and alpha(i) > 0 for i =1, ..., m - 2, with Sigma(m-2)(i=1) alpha(i) < 1, and f is an element of C(1) (R\{0},R)boolean AND C(R,R) satisfies f(s)s > 0 for s not equal 0, and f(0) = infinity, where f(0) = lim(vertical bar s vertical bar -> 0)f(s)/s. We investigate the global structure of nodal solutions by using the Rabinowitz's global bifurcation theorem.

• 出版日期2011
• 单位上海应用技术大学