4 papers
On the maximum of a function connected with the Green function of a focal boundary value problem
Eugene Bravyi
It's proved that a function connected with the Green function of the even order symmetric focal boundary value problem takes its maximal value on the diagonal.
On the solvability of linear singular functional differential equations
Eugene Bravyi
Necessary and sufficient conditions for the solvability of boundary value problems for a family of functional differential equations with a non-integrable singularity are obtained.
Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations
Eugene Bravyi
Conditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvabili…
On minimal periods of solutions of higher order functional differential equations
E. Bravyi
We show that a problem on minimal periods of solutions of Lipschitz functional differential equations is closely related to the unique solvability of the periodic problem for linea…