{"product_id":"9781447163978-ordinary-differential-equation","title":"Ordinary Differential Equations","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eAnalysis, Qualitative Theory and Control. Ordinary Differential Equations. \u003cp\u003eThe book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature.\u003c\/p\u003e\n\u003cp\u003eThe following topics are particularly emphasised:\u003c\/p\u003e\n\u003cp\u003e• existence, uniqueness and continuation of solutions,\u003cbr\u003e• continuous dependence on initial data,\u003cbr\u003e• flows,\u003cbr\u003e• qualitative behaviour of solutions,\u003cbr\u003e• limit sets,\u003cbr\u003e• stability theory,\u003cbr\u003e• invariance principles,\u003cbr\u003e• introductory control theory,\u003cbr\u003e• feedback and stabilization.\u003c\/p\u003e\n\u003cp\u003eThe last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability.\u003c\/p\u003e\n\u003cp\u003eOnly a basic grounding in linear algebra and analysis is assumed. \u003ci\u003eOrdinary Differential Equations\u003c\/i\u003e will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.\u003c\/p\u003e\n\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":41078823518305,"sku":"9781447163978","price":37.21,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/969e90102f40a6a8904d84269eeff1ba.png?v=1700187285","url":"https:\/\/www.rarewaves.com\/products\/9781447163978-ordinary-differential-equation","provider":"Rarewaves.com","version":"1.0","type":"link"}