1.

Record Nr.

UNINA9910254084503321

Autore

Qin Yuming

Titolo

Integral and discrete inequalities and their applications : volume II: nonlinear inequalities / / by Yuming Qin

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016

ISBN

9783319333045

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (XVI, 1072 p.)

Disciplina

515.8

Soggetti

Functions of real variables

Differential equations

Differential equations, Partial

Integral equations

Difference equations

Functional equations

Real Functions

Ordinary Differential Equations

Partial Differential Equations

Integral Equations

Difference and Functional Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Preface -- Nonlinear One-Dimensional Continuous Integral Inequalities -- Nonlinear One-Dimensional Discrete (Difference) Inequalities -- Nonlinear One-Dimensional Discontinuous Integral Inequalities -- Applications of Nonlinear One-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities -- Nonlinear Multi-Dimensional Continuous Integral Inequalities -- Nonlinear Multi-Dimensional Discrete (Difference) Inequalities -- Nonlinear Multi-Dimensional Discontinuous Inequalities -- Applications of Nonlinear Multi-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities.

Sommario/riassunto

This book concentrates on one- and multi-dimensional nonlinear



integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.