Solution of multi-delay systems via combined block-pulse functions and Legendre polynomials.
Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators
We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.
Some oscillation criteria for the second-order linear delay differential equation
Some Wintner and Nehari type oscillation criteria are established for the second-order linear delay differential equation.
Spectral properties and finite pole assignment of linear neutral systems in Banach spaces.
Stability analysis of linear neutral systems with multiple time delays.
Stability criteria of linear neutral systems with distributed delays
In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded...
Stability of delay differential equations with oscillating coefficients.
Stability of linear functional differential systems with multivalued delay feedback.
Stability of retarded systems with slowly varying coefficient
The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.
Stability of retarded systems with slowly varying coefficient
The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.
Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory
In economic systems, reactions to external shocks often come with a delay. On the other hand, agents try to anticipate future developments. Both can lead to difference-differential equations with an advancing argument. These are more difficult to handle than either difference or differential equations, but they have the merit of added realism and increased credibility. This paper generalizes a model from monetary economics by von Kalckreuth and Schröder. Working out its stability properties, we...
Structured polynomial eigenproblems related to time-delay systems.
Study of the limit of transmission problems in a thin layer by the sum theory of linear operators.