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Method of Averaging for Differential Equations on an Infinite Interval - Theory and Applications (Paperback, New)
Loot Price: R6,243
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Method of Averaging for Differential Equations on an Infinite Interval - Theory and Applications (Paperback, New)
Series: Lecture Notes in Pure and Applied Mathematics
Expected to ship within 12 - 17 working days
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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 various applications, including parametric
resonance and the construction of asymptotics. After establishing
this foundation, the author goes on to explore nonlinear equations.
He studies standard form systems in which the right-hand side of a
system is proportional to a small parameter and proves theorems
similar to Banfi's theorem. The final chapters are devoted to
systems with a rapidly rotating phase. Covering an important
asymptotic method of differential equations, this book provides a
thorough understanding of the method of averaging theory and its
resulting applications.
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