{"product_id":"the-cauchy-problem-for-higher-order-abstract-differential-equations-von-jin-liang-ti-jun-xiao","title":"The Cauchy Problem for Higher Order Abstract Differential Equations","description":"The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540652380\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540652380","offer_id":39437015253085,"sku":"9783540652380","price":53.45,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/269d9dcd-38f0-4ba9-b572-baa0795cde0c.jpg?v=1772085218","url":"https:\/\/shop.autorenwelt.de\/en\/products\/the-cauchy-problem-for-higher-order-abstract-differential-equations-von-jin-liang-ti-jun-xiao","provider":"Autorenwelt Shop","version":"1.0","type":"link"}