عنوان

Semilinear evolution equations and their applications /

303000449X

3030004503

9783030004491

9783030004507

3030004481

9783030004484

Semilinear evolution equations and their applications /

[Book]

Toka Diagana.

Cham, Switzerland :

Springer,

[2018]

©2018

1 online resource

Includes bibliographical references and index.

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.

0

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.

Springer Nature

com.springer.onix.9783030004491

Semilinear evolution equations and their applications.

9783030004484

Evolution equations.

Difference and Functional Equations.

Functional Analysis.

Operator Theory.

Partial Differential Equations.

Differential calculus & equations.

Evolution equations.

Functional analysis & transforms.

MATHEMATICS-- Calculus.

MATHEMATICS-- Mathematical Analysis.

MAT-- 005000

MAT-- 034000

PBKF

PBKF

Diagana, Toka

20200823071805.0

pn

[Book]

Y