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Semilinear evolution equations and their applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Semilinear evolution equations and their applications/ by Toka Diagana.
作者:	Diagana, Toka.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xx, 189 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Evolution equations. -
電子資源:	https://doi.org/10.1007/978-3-030-00449-1
ISBN:	9783030004491

Semilinear evolution equations and their applications
Diagana, Toka.

Semilinear evolution equations and their applications[electronic resource] /by Toka Diagana. - Cham :Springer International Publishing :2018. - xx, 189 p. :ill., digital ;24 cm.

1. Banach and Hilbert Spaces -- 2. Operator Theory -- 3. Semigroup of Linear Operators -- 4. Almost Periodic Functions and Their Spectral Theory -- 5. Semilinear Difference Equations -- 6. Singular Difference Equations -- 7. Fractional Difference Equations -- 8. First-Order Semilinear Evolution Equations -- 9. Degenerate First-Order Semilinear Evolution Equations -- 10. Fractional Semilinear Evolution Equations -- 11. Second-Order Semilinear Evolution Equations -- 12. Degenerate Second-Order Evolution Equations -- 13. Applications.

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods) Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.

ISBN: 9783030004491

Standard No.: 10.1007/978-3-030-00449-1doiSubjects--Topical Terms:

679110
Evolution equations.

LC Class. No.: QA377.3 / .D534 2018

Dewey Class. No.: 515.35

Semilinear evolution equations and their applications
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245 1 0 $a Semilinear evolution equations and their applications $h [electronic resource] / $c by Toka Diagana.
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505 0 $a 1. Banach and Hilbert Spaces -- 2. Operator Theory -- 3. Semigroup of Linear Operators -- 4. Almost Periodic Functions and Their Spectral Theory -- 5. Semilinear Difference Equations -- 6. Singular Difference Equations -- 7. Fractional Difference Equations -- 8. First-Order Semilinear Evolution Equations -- 9. Degenerate First-Order Semilinear Evolution Equations -- 10. Fractional Semilinear Evolution Equations -- 11. Second-Order Semilinear Evolution Equations -- 12. Degenerate Second-Order Evolution Equations -- 13. Applications.
520 $a This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods) Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.
650 0 $a Evolution equations. $3 679110
650 1 4 $a Functional Analysis. $3 672166
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Difference and Functional Equations. $3 672077
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856 4 0 $u https://doi.org/10.1007/978-3-030-00449-1
950 $a Mathematics and Statistics (Springer-11649)