{"product_id":"advanced-differential-equations-youssef-n-raffoul-9780323992800","title":"Advanced Differential Equations","description":"\u003cp\u003e\u003ci\u003eAdvanced Differential Equations\u003c\/i\u003e provides coverage of high-level topics in ordinary differential equations and dynamical systems. The book delivers difficult material in an accessible manner, utilizing easier, friendlier notations and multiple examples. Sections focus on standard topics such as existence and uniqueness for scalar and systems of differential equations, the dynamics of systems, including stability, with examples and an examination of the eigenvalues of an accompanying linear matrix, as well as coverage of existing literature. From the eigenvalues' approach, to coverage of the Lyapunov direct method, this book readily supports the study of stable and unstable manifolds and bifurcations.\u003c\/p\u003e \u003cp\u003eAdditional sections cover the study of delay differential equations, extending from ordinary differential equations through the extension of Lyapunov functions to Lyapunov functionals. In this final section, the text explores fixed point theory, neutral differential equations, and neutral Volterra integro-differential equations.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Youssef N. Raffoul\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0323992803\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780323992800\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Academic Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/22\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 364\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.38lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.25h x 7.50w x 0.75d","brand":"Youssef N. Raffoul","offers":[{"title":"Paperback","offer_id":44054389096703,"sku":"9780323992800","price":125.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5fdb3b92-45a5-42db-9b15-bd13df33976f.jpg?v=1685029683","url":"https:\/\/www.whiterainbookhouse.com\/products\/advanced-differential-equations-youssef-n-raffoul-9780323992800","provider":"WR Book House","version":"1.0","type":"link"}