Method of Averaging for Differential Equations on an Infinite Interval

Method of Averaging for Differential Equations on an Infinite Interval

CRC Press

Explains the modern theory of the method of averaging and provides an understanding of the results obtained when applying this theory. This book describes stability theory and Shtokalo's method, and examines various applications, including parametric resonance and the construction of asymptotics. It also explores nonlinear equations. > In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and Applications rigorously explains the modern theory of the method of averaging and provides a solid understanding of the results obtained when applying this theory.The book starts with the less complicated theory of averaging linear differential equations (LDEs), focusing on almost periodic functions. It describes stability theory and Shtokalo's method, and examines""

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