1.

Record Nr.

UNINA9910148787003321

Autore

Georgiev Svetlin

Titolo

Integral Equations on Time Scales / / by Svetlin G. Georgiev

Pubbl/distr/stampa

Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2016

ISBN

94-6239-228-5

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (IX, 402 p.)

Collana

Atlantis Studies in Dynamical Systems, , 2213-3534 ; ; 5

Disciplina

515.352

Soggetti

Differential equations

Integral equations

Numerical analysis

Functional analysis

Differential Equations

Integral Equations

Numerical Analysis

Functional Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1. Elements of the Time Scale Calculus -- 2. Introductory Concepts of Integral Equations on Time Scales -- 3. Generalized Volterra Integral Equations -- 4. Generalized Volterra Integro-Differential Equations -- 5. Generalized Fredholm Integral Equations -- 6. Hilbert-Schmidt Theory of Generalized Integral Equations with Symmetric Kernels -- 7. The Laplace Transform Method -- 8. The Series Solution Method -- 9. Non-Linear Generalized Integral Equations.

Sommario/riassunto

This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive



mathematical background.