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Systems of Multifrequency Differential Equations with Delay and their Application in Mathematical Modelling of Immune Response in Infectious Diseases
- Speaker(s)
- Yaroslav Bihun
- Affiliation
- Yuriy Fedkovych Chernivtsi National University, Department of Applied Mathematics and Information Technology
- Date
- May 27, 2015, 2:15 p.m.
- Room
- room 4050
- Seminar
- Seminar of Biomathematics and Game Theory Group
The obtained results in this work are a further development for
multifrequency systems with constant and linear delay results of
A.M. Samoylenko and R.I. Petryshyn for ordinary differential equations.
New theorems on the existence and uniqueness of the solution of multifrequency systems of differential equations with linearly transformed argument and integral boundary conditions with functions depending on slow time have been proven and averaging method for such boundary problems has been substantiated. New assessment of the averaging method, which obviously depends on the small parameter for Noether boundary problem has been established. Estimation error of the averaging method has been defined. Circuit averaging illustrated on model examples have been given.
New theorems on the existence and uniqueness of the solution of multifrequency systems of differential equations with linearly transformed argument and integral boundary conditions with functions depending on slow time have been proven and averaging method for such boundary problems has been substantiated. New assessment of the averaging method, which obviously depends on the small parameter for Noether boundary problem has been established. Estimation error of the averaging method has been defined. Circuit averaging illustrated on model examples have been given.
