{"product_id":"asymptotic-analysis-mikhail-v-fedoryuk-9783540548102","title":"Asymptotic Analysis: Linear Ordinary Differential Equations","description":"1. The Analytic Theory of Differential Equations.-  1. Analyticity of the Solutions of a System of Ordinary Differential Equations.-   2. Regular Singular Points.-   3. Irregular Singular Points.- 2. Second-Order Equations on the Real Line.-   1. Transformations of Second-Order Equations.-   2. WKB-Bounds.-   3. Asymptotic Behaviour of Solutions of a Second-Order Equation for Large Values of the Parameter.-   4. Systems of Two Equations Containing a Large Parameter.-   5. Systems of Equations Close to Diagonal Form.-   6. Asymptotic Behaviour of the Solutions for Large Values of the Argument.-   7. Dual Asymptotic Behaviour.-   8. Counterexamples.-   9. Roots of Constant Multiplicity.-   10. Problems on Eigenvalues.-   11. A Problem on Scattering.- 3. Second-Order Equations in the Complex Plane.-   1. Stokes Lines and the Domains Bounded by them.-   2. WKB-Bounds in the Complex Plane.-   3. Equations with Polynomial Coefficients. Asymptotic Behaviour of a Solution in the Large.-   4. Equations with Entire or Meromorphic Coefficients.-   5. Asymptotic Behaviour of the Eigenvalues of the Operator -d2 \/ dx2 + ?2q(x). Self-Adjoint Problems.-   6. Asymptotic Behaviour of the Discrete Spectrum of the Operator -y? + ?2q(x)y. Non-Self-Adjoint Problems.-   7. The Eigenvalue Problem with Regular Singular Points.-   8. Quasiclassical Approximation in Scattering Problems.-   9. Sturm-Liouville Equations with Periodic Potential.- 4. Second-Order Equations with Turning Points.-   1. Simple Turning Points. The Real Case.-   2. A Simple Turning Point. The Complex Case.-   3. Some Standard Equations.-  4. Multiple and Fractional Turning Points.-   5. The Fusion of a Turning Point and Regular Singular Point.-   6. Multiple Turning Points. The Complex Case.-   7. Two Close Turning Points.-   8. Fusion of Several Turning Points.- 5. nth-Order Equations and Systems.-   1. Equations and Systems on a Finite Interval.-   2. Systems of Equations on a Finite Interval.-   3. Equations on an Infinite Interval.-   4. Systems of Equations on an Infinite Interval.-   5. Equations and Systems in the Complex Plane.-   6. Turning Points.-   7. A Problem on Scattering, Adiabatic Invariants and a Problem on Eigenvalues.-   8. Examples.- References.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mikhail V. Fedoryuk, Mikhail Vasilevich Fedor'iuk\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3540548106\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540548102\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/16\/1993\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 376\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.88d","brand":"Mikhail V. Fedoryuk","offers":[{"title":"Hardcover","offer_id":47203089252607,"sku":"9783540548102","price":99.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_7cb64c12-10ac-4f2f-bd04-448f356c8a0f.jpg?v=1756834301","url":"https:\/\/www.whiterainbookhouse.com\/products\/asymptotic-analysis-mikhail-v-fedoryuk-9783540548102","provider":"WR Book House","version":"1.0","type":"link"}