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Theory and Applications of Abstract Semilinear Cauchy Problems

Theory and Applications of Abstract Semilinear Cauchy Problems

Hardcover

Series: Applied Mathematical Sciences, Book 201

General Mathematics

ISBN10: 303001505X
ISBN13: 9783030015053
Publisher: Springer Nature
Published: Dec 3 2018
Pages: 543
Weight: 2.13
Height: 1.25 Width: 6.14 Depth: 9.21
Language: English
Reviews the classical results on semigroup theory, Hille-Yosida Theorem, semilinear Cauchy problems with dense domain in details
Introduces the integrated semigroup theory in order to study semilinear Cauchy problems when the linear operator is nondensely defined and is not Hille-Yosida

Discusses the spectral throry for linear operators, including the spectral decomposition of the state space

Presents the center manifold theory, Hopf bifurcation theorem, and normal form theory for abstract semilinear Cauchy problems

Applies the abstract theories to functional differential equations, age-structured models, and parabolic equations arising in population dynamics and other applied subjects

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General Mathematics