S. Mukhigulashvili

Two-Point Boundary Value Problems for Second Order Functional Differential Equations

abstract:
In the paper effective sufficient conditions are obtained for unique solvability and correctness of the mixed problem and of the Dirichlet problem for second order linear singular functional differential equations. Some of these conditions are nonimprovable and some of them generalize results which are well known for ardinary differential equations.

Mathematics Subject Classification: 34K10.

Key words and phrases: Functional deffirential equations, singular, unique solvability, correctness.