{"product_id":"9783030015053","title":"Theory and Applications of Abstract Semilinear Cauchy Problems","description":"\u003ch3\u003eApplied Mathematical Sciences\u003c\/h3\u003e\u003ch1\u003eTheory and Applications of Abstract Semilinear Cauchy Problems\u003c\/h1\u003e\u003ch3\u003ePierre Magal | Shigui Ruan\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eReviews the classical results on semigroup theory, Hille-Yosida Theorem, semilinear Cauchy problems with dense domain in details\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\n\u003cdiv\u003eIntroduces the integrated semigroup theory in order to study semilinear Cauchy problems when the linear operator is nondensely defined and is not Hille-Yosida\u003c\/div\u003e\n\u003cbr\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\n\u003cdiv\u003eDiscusses the spectral throry for linear operators, including the spectral decomposition of the state space\u003cbr\u003e\n\u003c\/div\u003e\n\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\n\u003cdiv\u003e\u003c\/div\u003ePresents the center manifold theory, Hopf bifurcation theorem, and normal form theory for abstract semilinear Cauchy problems\u003cbr\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\n\u003cdiv\u003eApplies the abstract theories to functional differential equations, age-structured models, and parabolic equations arising in population dynamics and other applied subjects\u003c\/div\u003e\n\u003cbr\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003eDr.  Pierre Magal is a professor in the Institut de Mathématiques  de Bordeaux \u003cb\u003e  \u003c\/b\u003eat the University of Bordeaux, France. His research  interests are Differential Equations, Dynamical Systems, and Mathematical  Biology.  He studies nonlinear dynamics  of abstract semilinear equations, functional differential equations, age-structured  models, and parabolic systems. He is also interested in modeling some biological,  epidemiological, and medical problems and studying the nonlinear dynamics of these  models.\u003c\/p\u003e  \u003cp\u003eShigui Ruan is a professor in  the Department of Mathematics at the University of Miami, Coral Gables,  Florida, USA. His research interests are Differential Equations, Dynamical  Systems, and Mathematical Biology.  He  studies nonlinear dynamics of some types of differential equations, such as  the center manifold theory and Hopf bifurcation in semilinear evolution  equations, multiple-parameter bifurcations in delay equations, and traveling  waves in nonlocal reaction-diffusion systems. He is also interested in  modeling and studying transmission dynamics of some infectious diseases  (malaria, Rift Valley Fever, Hepatitis B virus, schistosomiasis, human rabies, SARS, West Nile virus, etc.) and nonlinear population dynamics.\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e03 December 2018\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer International Publishing\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783030015053\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e543\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45379024257164,"sku":"9783030015053","price":125.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030015053_94fd75dd-c38a-4d08-92dd-4106b13e9fd1.jpg?v=1784762332","url":"https:\/\/lateknightbooks.com\/products\/9783030015053","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}