Ivan Kiguradze, Nino Partsvania

The Cauchy Weighted Problem for Singular in Time and Phase Variables Higher Order Delay Differential Equations

abstract:
Unimprovable in a certain sense conditions are established guaranteeing, respectively, the solvability, unique solvability and unsolvability of the Cauchy weighted problem for singular in time and phase variables higher order delay ordinary differential equations.

Mathematics Subject Classification: 34A12, 34B16, 34B18, 34K05

Key words and phrases: Delay ordinary differential equation, singular in time and phase variables, the Cauchy weighted problem, solvability, unique solvability, unsolvability