RUS  ENG
Full version
JOURNALS // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta // Archive

Izv. IMI UdGU, 2012 Issue 1(39), Pages 90–91 (Mi iimi42)

The test-equation method in investigation of stability of functional differential equations

V. V. Malygina

Perm State National Research Polytechnical University

Abstract: A method is proposed for investigation of stability of solutions to linear scalar functional differential equations. A test equation is put into correspondence to a family of equations of a class being investigated. The study of properties of the test equation makes it possible to obtain an effective description of the stability regions of all equations of the family.

Keywords: differential equation with aftereffect, exponential stability, uniform stability.

UDC: 517.929

MSC: 34K20

Received: 15.02.2012



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025