Introduction

Pierre Magal, Shigui Ruan

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The goal of this chapter is to introduce some fundamental theories for Ordinary Differential Equations (ODEs), Retarded Functional Differential Equations (RFDEs), and Age-structured Models and to derive abstract semilinear Cauchy problems from these equations. It serves two purposes: To present a brief review of the basic results on the nonlinear dynamics of these three types of equations and to give a quick preview about the types of results we will develop for the abstract semilinear Cauchy problems in this monograph.

Original languageEnglish (US)
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages1-55
Number of pages55
DOIs
StatePublished - Jan 1 2018

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume201
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Fingerprint

Ordinary differential equations
Semilinear
Cauchy Problem
Differential equations
Retarded Functional Differential Equations
Age-structured Model
Nonlinear Dynamics
Ordinary differential equation
Review

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Magal, P., & Ruan, S. (2018). Introduction. In Applied Mathematical Sciences (Switzerland) (pp. 1-55). (Applied Mathematical Sciences (Switzerland); Vol. 201). Springer. https://doi.org/10.1007/978-3-030-01506-0_1

Introduction. / Magal, Pierre; Ruan, Shigui.

Applied Mathematical Sciences (Switzerland). Springer, 2018. p. 1-55 (Applied Mathematical Sciences (Switzerland); Vol. 201).

Research output: Chapter in Book/Report/Conference proceedingChapter

Magal, P & Ruan, S 2018, Introduction. in Applied Mathematical Sciences (Switzerland). Applied Mathematical Sciences (Switzerland), vol. 201, Springer, pp. 1-55. https://doi.org/10.1007/978-3-030-01506-0_1
Magal P, Ruan S. Introduction. In Applied Mathematical Sciences (Switzerland). Springer. 2018. p. 1-55. (Applied Mathematical Sciences (Switzerland)). https://doi.org/10.1007/978-3-030-01506-0_1
Magal, Pierre ; Ruan, Shigui. / Introduction. Applied Mathematical Sciences (Switzerland). Springer, 2018. pp. 1-55 (Applied Mathematical Sciences (Switzerland)).
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