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Nonlinear systems of partial differential equations : applications to life and physical sciences /
The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensack, N.J. :
World Scientific,
©2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Leung, Anthony W., |d 1946- | |
| 245 | 1 | 0 | |a Nonlinear systems of partial differential equations : |b applications to life and physical sciences / |c Anthony W. Leung. |
| 260 | |a Hackensack, N.J. : |b World Scientific, |c ©2009. | ||
| 300 | |a 1 online resource (xii, 532 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Positive solutions for systems of two equations -- Positive solutions for large systems of equations -- Optimal control for nonlinear systems of partial differential equations -- Persistence, upper and lower estimates, blowup, cross-diffusion and degeneracy -- Traveling waves, systems of waves, invariant manifolds, fluids and plasma -- Appendices. | |
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 546 | |a English. | ||
| 520 | |a The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers. The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering. Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 0 | |a Differential equations, Nonlinear. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 6 | |a Équations différentielles non linéaires. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Nonlinear |2 fast | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Nichtlineare partielle Differentialgleichung |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Leung, Anthony W., 1946- |t Nonlinear systems of partial differential equations. |d Hackensack, N.J. : World Scientific, ©2009 |z 9789814277693 |w (OCoLC)311763330 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340553 |z Texto completo |
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| 938 | |a YBP Library Services |b YANK |n 3511447 | ||
| 938 | |a Internet Archive |b INAR |n nonlinearsystems0000leun | ||
| 994 | |a 92 |b IZTAP | ||