{"product_id":"viability-invariance-and-applications-ovidiu-carja-9780444527615","title":"Viability, Invariance and Applications: Volume 207","description":"The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time.The book includes the most important necessary and sufficient conditions for viability starting with Nagumo's Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ovidiu Carja,Mihai Necula,Ioan I. Vrabie\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0444527613\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780444527615\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Elsevier Science\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/18\/2007\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 356\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.72lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.52h x 6.75w x 0.77d","brand":"Ovidiu Carja","offers":[{"title":"Hardcover","offer_id":47425022034175,"sku":"9780444527615","price":140.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_4a0a9bf4-931f-4795-bc14-c046c537d6ca.jpg?v=1761536463","url":"https:\/\/www.whiterainbookhouse.com\/products\/viability-invariance-and-applications-ovidiu-carja-9780444527615","provider":"WR Book House","version":"1.0","type":"link"}