| S. Ogorodnikova and F. Sadyrbaev. Estimations of the number of solutions to some nonlinear second order boundary value problems |
| We consider first two the second order autonomous differential equations with critical points, which allow for detecting an exact number of solutions to the Dirichlet boundary value problem. Then non-autonomous equations with similar behavior of solutions are considered. Estimations from below of the number of solutions to the Dirichlet boundary value problem are given. |