Periodic Solutions of Parabolic Systems with Time Delays

Periodic Solutions for Planar Systems with Time-varying Delays

This paper concerns delay differential systems that can be regarded as a model of two-neuron artificial neural network with delayed feedback. Some interesting results are obtained for the existence of a periodic solution for the system. Our approach is based on the continuation theorem of coincidence degree, and a-priori estimates of the periodic solutions.

Exponential Stability of Linear Systems with Multiple Time Delays

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

Periodic Solutions of Non-autonomous Mackey-type Systems with Delays

Non-autonomous systems of delay differential equations, that model classical Mackeytype hematopoietic stem cell dynamics and Mackey-type circuit systems with delayed feedback controllers, are under study. Explicit sufficient and necessary conditions for the existence of positive periodic solutions are obtained via topological methods. AMS Subject Classification: MSC 2010: 34C25; 34B15; 34B18; 3...

Anti-periodic solutions for BAM neural networks with time delays

Boundary Control of Parabolic-hyperbolic Systems with Time Delays

Keywords: boundary control, parabolic-hyperbolic system, integral time delays, Neumann problem, quadratic programming method, Hilbert space In this paper, we consider optimal boundary control problems for parabolic-hyperbolic systems in which time delays appear in the integral form in the state equations. The right-hand side of the state equation and the initial and boundary conditions are not ...