Infinitely many solutions to superlinear second order m-point boundary value problems
1 Department of Mathematics, Northwest Normal University, Lanzhou, 730070, PR China
2 School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, PR China
Boundary Value Problems 2011, 2011:14 doi:10.1186/1687-2770-2011-14Published: 15 August 2011
We consider the boundary value problem
(2) g : ℝ → ℝ is continuous and satisfies
(3) p : [0, 1] × ℝ2 → ℝ is continuous and satisfies
for some C > 0 and β ∈ (0, 1/2).
We obtain infinitely many solutions having specified nodal properties by the bifurcation techniques.
MSC(2000). 34B15, 58E05, 47J10