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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 62
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 62, Issue 2, April 2011
  4. Hopf bifurcation for non-densely defined Cauchy problems
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 62, Issue 6, December 2011
Zeitschrift für angewandte Mathematik und Physik : Volume 62, Issue 5, October 2011
Zeitschrift für angewandte Mathematik und Physik : Volume 62, Issue 4, August 2011
Zeitschrift für angewandte Mathematik und Physik : Volume 62, Issue 3, June 2011
Zeitschrift für angewandte Mathematik und Physik : Volume 62, Issue 2, April 2011
Hopf bifurcation for non-densely defined Cauchy problems
On superdiffusive behavior of a passive tracer in a Poisson shot noise field
Rational first integrals for periodic systems
A combined variational-topological approach for dispersion-managed solitons in optical fibers
Stable standing waves for a class of nonlinear Schrödinger-Poisson equations
Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations
An analogy between vortical and thermal fields subject to the large pressure gradient
Structural rheological model of two-phase interlayer shear flow
A thermodynamical framework for chemically reacting systems
Accelerated slip flow past a cylinder
Zeitschrift für angewandte Mathematik und Physik : Volume 62, Issue 1, February 2011
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Hopf bifurcation for non-densely defined Cauchy problems

Content Provider SpringerLink
Author Liu, Zhihua Ruan, Shigui Magal, Pierre
Copyright Year 2010
Abstract In this paper, we establish a Hopf bifurcation theorem for abstract Cauchy problems in which the linear operator is not densely defined and is not a Hille–Yosida operator. The theorem is proved using the center manifold theory for non-densely defined Cauchy problems associated with the integrated semigroup theory. As applications, the main theorem is used to obtain a known Hopf bifurcation result for functional differential equations and a general Hopf bifurcation theorem for age-structured models.
Ending Page 222
Page Count 32
Starting Page 191
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 2
Volume Number 62
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2010-07-20
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Age structured model Mathematical Methods in Physics Non-dense domain Functional differential equation Abstract parabolic equations Bifurcation theory Normal forms, center manifold theory, bifurcation theory Hopf bifurcation Periodic solution Theoretical and Applied Mechanics Cauchy problem
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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