Functional Differential Equations: Application of i-smooth calculus
A.V. Kim
abr. de 2013 · Mathematics and Its Applications Libro 479 · Springer Science & Business Media
Libro electrónico
168
Páxinas
reportAs valoracións e as recensións non están verificadas Máis información
Acerca deste libro electrónico
Beginning with the works of N.N.Krasovskii [81, 82, 83], which clari fied the functional nature of systems with delays, the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional approach, different aspects of time-delay system theory have been developed with almost the same completeness as the corresponding field of ODE (ordinary differential equations) the ory. The term functional differential equations (FDE) is used as a syn onym for systems with delays 1. The systematic presentation of these re sults and further references can be found in a number of excellent books [2, 15, 22, 32, 34, 38, 41, 45, 50, 52, 77, 78, 81, 93, 102, 128]. In this monograph we present basic facts of i-smooth calculus ~ a new differential calculus of nonlinear functionals, based on the notion of the invariant derivative, and some of its applications to the qualitative theory of functional differential equations. Utilization of the new calculus is the main distinction of this book from other books devoted to FDE theory. Two other distinguishing features of the volume are the following: - the central concept that we use is the separation of finite dimensional and infinite dimensional components in the structures of FDE and functionals; - we use the conditional representation of functional differential equa tions, which is convenient for application of methods and constructions of i~smooth calculus to FDE theory.
Valora este libro electrónico
Dános a túa opinión.
Información de lectura
Smartphones e tabletas
Instala a aplicación Google Play Libros para Android e iPad/iPhone. Sincronízase automaticamente coa túa conta e permíteche ler contido en liña ou sen conexión desde calquera lugar.
Portátiles e ordenadores de escritorio
Podes escoitar os audiolibros comprados en Google Play a través do navegador web do ordenador.
Lectores de libros electrónicos e outros dispositivos
Para ler contido en dispositivos de tinta electrónica, como os lectores de libros electrónicos Kobo, é necesario descargar un ficheiro e transferilo ao dispositivo. Sigue as instrucións detalladas do Centro de Axuda para transferir ficheiros a lectores electrónicos admitidos.
