{"product_id":"9780792356240","title":"Mathematics and Its Applications","description":"\u003ch1\u003eMathematics and Its Applications\u003c\/h1\u003e \u003ch2\u003eKurbatov, U.G.\u003c\/h2\u003e \u003cp\u003eThis book deals with linear functional differential equations  and operator theory methods for their investigation. \u003cbr\u003e  The main topics are: the equivalence of the input-output stability of  the equation \u003ci\u003eL\u003c\/i\u003e\u003cem\u003ex\u003c\/em\u003e = \u0026amp;mathsf; and the invertibility of the  operator \u003ci\u003eL\u003c\/i\u003e in the class of casual operators; the equivalence of  input-output and exponential stability; the equivalence of the  dichotomy of solutions for the homogeneous equation \u003ci\u003eL\u003c\/i\u003e\u003cem\u003ex\u003c\/em\u003e =  0 and the invertibility of the operator \u003ci\u003eL\u003c\/i\u003e; the properties of  Green's function; the independence of the stability of an equation  from the norm on the space of solutions; shift invariant functional  differential equations in Banach space; the possibility of the  reduction of an equation of neutral type to an equation of retarded  type; special full subalgebras of integral and difference operators,  and operators with unbounded memory; and the analogue of Fredholm's  alternative for operators with almost periodic coefficients where  one-sided invertibility implies two-sided invertibility. \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e This monograph will be of interest to students and  researchers working in functional differential equations and operator  theory and is recommended for graduate level courses.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1999-04-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792356240\u003c\/p\u003e \u003cp\u003eDOI: \u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 434\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46539701846156,"sku":"9780792356240","price":224.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792356240.jpg?v=1775679192","url":"https:\/\/lateknightbooks.com\/products\/9780792356240","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}