Charged particles beam focusing with uncontrollable changing parameters

A New Method to Study the Periodic Solutions of the Ordinary Differential Equations Using Functional Analysis

“…Periodic solutions take an important part in the qualitative theory of differential equations and in applied problems [3]. The analysis problems for periodic solutions of differential equations arise in classical mechanics, celestial mechanics [4][5][6][7][8][9][10][11][12][13][14][15], space robotics [16][17][18][19][20][21][22][23][24], in modeling of economic processes [25][26][27][28][29]. However, there is no general approach to study periodic solutions of differential equations.…”

Stochastic models of social-economic dynamics

“…Analysis of existance and stability conditions for solutions [2] is also required. Other approaches to study of complex systems are mathematical modelling and computer simulations ( [3], [4], [5], [6]. We propose methods of the mathematical modelling which are based on the Markov chain Monte-Carlo methods widely used in other fields of computational science and more general approach which is based on simultaion of branching stochastic processes.…”

Almost Periodic Solutions of First-Order Ordinary Differential Equations

“…Over the last years, the question of studying almost periodic functions in robotics [15][16][17][18][19][20][21], dynamic systems [22][23][24][25][26], stability theory [27][28][29][30][31], control systems for space objects [32][33][34], and economy problems [35][36][37][38] arose significantly.…”