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math.CA2024
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…
math.CA2023
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 …
math.CA2019★ 1 cited
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…