کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610485 1338567 2014 91 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Normal forms for semilinear equations with non-dense domain with applications to age structured models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Normal forms for semilinear equations with non-dense domain with applications to age structured models
چکیده انگلیسی

Normal form theory is very important and useful in simplifying the forms of equations restricted on the center manifolds in studying nonlinear dynamical problems. In this paper, using the center manifold theorem associated with the integrated semigroup theory, we develop a normal form theory for semilinear Cauchy problems in which the linear operator is not densely defined and is not a Hille–Yosida operator and present procedures to compute the Taylor expansion and normal form of the reduced system restricted on the center manifold. We then apply the main results and computation procedures to determine the direction of the Hopf bifurcation and stability of the bifurcating periodic solutions in a structured evolutionary epidemiological model of influenza A drift and an age structured population model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 4, 15 August 2014, Pages 921–1011
نویسندگان
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