Eugene Bravyi

On Solvability Conditions for the Cauchy Problem for Second Order Functional Differential Equations with Non-Volterra Operators and Composite Pointwise Restrictions

abstract:
The Cauchy boundary value problem for the second order linear functional differential equations with non-Volterra operators is considered. Unimprovable sufficient solvability conditions are obtained for various composite pointwise restrictions on functional operators.

Mathematics Subject Classification: 34K06, 34K10

Key words and phrases: Cauchy boundary value problem, functional differential equations, solvability conditions