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Stability And Oscillations In Delay Differential Equations Of Population Dynamics (Cód: 6325191)

K. Gopalsamy

SPRINGER VERLAG POD

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Stability And Oscillations In Delay Differential Equations Of Population Dynamics

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Descrição

This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential
equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of
techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf
bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods
applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative
analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to
population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves
functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.

Características

Peso 0.45 Kg
Produto sob encomenda Sim
Marca SPRINGER VERLAG POD
I.S.B.N. 9780792315940
Referência 9780792315940
Altura 23.40 cm
Largura 15.60 cm
Profundidade 2.86 cm
Número de Páginas 520
Idioma Inglês
Cód. Barras 9780792315940
Ano da edição 1992
AutorK. Gopalsamy