Kirill M. Chudinov

The Koplatadze-Chanturiya Type Theorem for Linear First-Order Delay Differential Equation of General Form

abstract:
We present effective oscillation conditions for all solutions of a linear first-order delay differential equation written in terms of the Riemann-Stiltjes integral and including equations with concentrated and distributed delays as special cases. The main result of the paper is a generalization of the so-called low-limit oscillation test for the equation with several concentrated delays.

Mathematics Subject Classification: 34K06, 34K11

Key words and phrases: Delay differential equation, oscillation, distributed delay