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

Year, pages: 2007, 141 - 156

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.

Somora, P. 2007. The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method. In Mathematica Slovaca, vol. 57, no.2, pp. 141-156. 0139-9918.

Somora, P. (2007). The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method. Mathematica Slovaca, 57(2), 141-156. 0139-9918.