{"product_id":"classical-methods-in-ordinary-differential-equations-9780821846940","title":"Classical Methods in Ordinary Differential","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePresents rigorous mathematical techniques for the analysis of boundary value problems for ODEs arising in applications. The emphasis is on proving existence of solutions, but there is also a substantial chapter on uniqueness and multiplicity questions and several chapters which deal with the asymptotic behaviour of solutions with respect to either the independent variable or some parameter.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction An introduction to shooting methods Some boundary value problems for the Painleve transcendents Periodic solutions of a higher order system A linear example Homoclinic orbits of the FitzHugh-Nagumo equations Singular perturbation problems--rigorous matching Asymptotics beyond all orders Some solutions of the Falkner-Skan equation Poiseuille flow: Perturbation and decay Bending of a tapered rod; variational methods and shooting Uniqueness and multiplicity Shooting with more parameters Some problems of A. C. Lazer Chaotic motion of a pendulum Layers and spikes in reaction-diffusion equations, I Uniform expansions for a class of second order problems Layers and spikes in reaction-diffusion equations, II Three unsolved problems Bibliography Index","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":51038660329815,"sku":"9780821846940","price":79.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780821846940.jpg?v=1750940961","url":"https:\/\/bookcurl.com\/products\/classical-methods-in-ordinary-differential-equations-9780821846940","provider":"Book Curl","version":"1.0","type":"link"}