Nonlinear singularly perturbed systems of differential equations: A survey.
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
On the averaging method for differential equations with delay.
Partial averaging for impulsive differential equations with supremum.
Periodic solutions of higher order ordinary differential equations with one-sided growth restrictions on the nonlinear term
Periodic solutions of nonlinear differential systems by the method of averaging
In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence of periodic...
Ranges of -homogeneous operators and their perturbations
Remarks on stability of inverted pendula.
The method of averaging and functional differential equations with delay.
Time averaging for functional differential equations.
Time averaging for ordinary differential equations and retarded functional differential equations.
Об оценке погрешности метода усреднения в двухчастотной задаче
Об усреднении для систем с быстрыми и медленными переменными на бесконечном промежутке
Осреднение некоторых систем обыкновенных дифференциальных уравнений
Оценка погрешности метода усреднения в двухчастотной задаче
Принцип усреднения на полуоси для диссипативных систем
Теорема о продолжении ограниченных решений для дифференциальных уравнений и принцип усреднения
Усреднение квазидифференциальных уравнений с быстрыми и медленными переменными.
Усреднение недивергентных эллиптических и параболических операторов второго порядка и стабилизация решения задачи Коши