Marachkov type stability results for functional differential equations.
Markov operators defined by Volterra type integrals with advanced argument
Mathematical model and optimal control of flow induced vibration of pipelines
In this paper we consider a dynamic model for flow induced vibration of pipelines. We study the questions of existence and uniqueness of solutions of the system. Considering the flow rate as the control variable, we present three different necessary conditions of optimality. The last one with state constraint involves Differential Inclusions. The paper is concluded with an algorithm for computing the optimal controls.
Mathematical model of an immune system with random time of reaction
Mean square exponential stability of stochastic Cohen-Grossberg neural networks with unbounded distributed delays.
Methods for studying stability of systems with linear delay.
Model of AIDS-related tumour with time delay
We present and compare two simple models of immune system and cancer cell interactions. The first model reflects simple cancer disease progression and serves as our "control" case. The second describes the progression of a cancer disease in the case of a patient infected with the HIV-1 virus.
Modeling the role of constant and time varying recycling delay on an ecological food chain
We consider a mathematical model of nutrient-autotroph-herbivore interaction with nutrient recycling from both autotroph and herbivore. Local and global stability criteria of the model are studied in terms of system parameters. Next we incorporate the time required for recycling of nutrient from herbivore as a constant discrete time delay. The resulting DDE model is analyzed regarding stability and bifurcation aspects. Finally, we assume the recycling delay in the oscillatory form to model the...
Monotone semiflows generated by neutral equations with different delays in neutral and retarded parts.