1 citations · 2 across the 5 of their papers we have counts for
5 papers
On Uniqueness of a Solution to the Boundary Initial Value Problem
Vladimir V. Basov
A first-order ordinary differential equation, solved with respect to derivative, is considered. It's right-hand side is defined and continuous on the set, consisting of a connected…
Weakened XVI Hilbert's Problem: Invariant Tori of the Periodic Systems with the Nine Equilibrium Points in Hamiltonian Unperturbed Part
Vladimir V. Basov, Artem S. Zhukov
Two classes of two-dimensional time-periodic systems of ordinary differential equations with a small parameter e in the perturbed part, which is continuous and, for …
Invariant Tori of a Two Dimensional Periodic System with the Linear-Cubic Unperturbed Part
Vladimir V. Basov, Valery G. Romanovski, Artem S. Zhukov
Two classes of time-periodic systems of ordinary differential equations with a small nonnegative parameter, those with fast and slow time, are studied. Right-hand sides of these sy…
On the Existence of a Solution of the Boundary Initial-Value Problem
Vladimir V. Basov
An initial-value problem for an ordinary differential equation of the first order, is considered. It is supposed that the right-hand side of the equation is a continuous function d…
Generalized Normal Forms of Two-Dimensional Autonomous Systems with a Hamiltonian Unperturbed Part
Arthur Vaganyan, Vladimir Basov
Generalized pseudo-Hamiltonian normal forms (GPHNF) and an effective method of obtaining them are introduced for two-dimensional systems of autonomous ODEs with a Hamiltonian quasi…