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Inside this Book – These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
Inside this book –Mathematical Physics II PDF Book by Boris Dubrovin – The method of small parameter, proposed by Poincare (1892) in his studies on celestial mechanics, is also an important tool in the study of properties of solutions of analytic differ- ential equations. Suppose we know how to solve the unperturbed system. What can be said about solutions of the perturbed one? Comparing with Cauchy theorem the novelty of the Poincare method is that, for systems depending analytically on a parameter in certain cases one can establish global existence of a solution. For the sake of simplicity we will formulate it for the case of a system of two first order differential equations
Mathematical Physics II by Boris Dubrovin PDF : eBook Information
- Full Book Name – Mathematical Physics II
- Author of this Book – Boris Dubrovin
- Language – English
- Book Genre –Science, Physics, Mathematical Physics, Differential Equations
- Download Format – PDF
- Size – 440 KB
- eBook Pages –78
- Price – Free