دانلود کتاب Center Manifolds for Semilinear Equations With Non-dense Domain and Applications to Hopf Bifurcation in Age Structured Models

Name: Center Manifolds for Semilinear Equations With Non-dense Domain and Applications to Hopf Bifurcation in Age Structured Models
Availability: InStock
Author: Ruan
ISBN: 9780821846537, 0821846531

by Ruan, Shigui

عنوان فارسی: مرکز منیفولد برای معادلات Semilinear با غیر متراکم دامنه و برنامه های کاربردی به Hopf انشعاب در مدل های ساخت یافته سن
ناشر: American Mathematical Society
سال: 2009
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 71
شابک: 9780821846537, 0821846531
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 0.75 مگابایت

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جزییات کتاب

Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models

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