Estimates for the Eigenvalues of Hill's Equation and Applications for the Eigenvalues of the Laplacian on Toroidal Surfaces.
A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.
We study asymptotic properties of solutions for a system of second differential equations with -Laplacian. The main purpose is to investigate lower estimates of singular solutions of second order differential equations with -Laplacian . Furthermore, we obtain results for a scalar equation.