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...
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 di...
The book provides the latest research results on measuring Credit Rating Migration by mathematical methods. It brings about most popular mathematical models, methods and applications on this area, especially presents the latest development on structure models. It is systematically collects the models, methods and results in this area.
The book first introduced the financial background and preliminary mathematical theory. Then two mainstream mathematical models for measuring default risks, the reduced form model and structure model, are presented. The structure model for measuring...
The book provides the latest research results on measuring Credit Rating Migration by mathematical methods. It brings about most popular mathematic...
