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

Rok, strany: 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.

ISO 690:

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.

APA:

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.