The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method

Mathematica Slovaca

Peter Somora¹ 

关键词: boundary value problem;    shooting method;    shooting function;    root function;    variational solution;    variational index;   

DOI  :  10.2478/s12175-007-0005-8

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We consider a second order nonlinear differential equation with homogeneous Dirichlet boundary conditions. Using the root functions method we prove a relation between the number of zeros of some variational solutions and the number of solutions of our boundary value problem which follows into a lower bound of the number of its solutions.

【 授权许可】

Unknown