The theorem about equivalence in Lyapunov’s sense of two systems of differential equations of the second order which is an analog of the well-known theorem of M. P. Erugin about the equivalence of systems of differential ...
For the first time, the interpolation operator integral chain fractions on continual knots are studied for nonlinear operators which are defined on linear topological spaces.
An interpolation integral chain fraction for a given nonlinear functional on the continual knot set is constructed. It is a natural generalization of the interpolation chain fraction.
A new functional-discrete method to solve eigenvalue problems for ordinary differential operators of the Schr¨odinger type with nonlinear potentials is proposed. The method approximates both eigenvalues and eigenfunctions ...