Author | Ostrovskii, Alexander G. author |
---|---|

Title | Almost Automorphic and Almost Periodic Functions in Abstract Spaces [electronic resource] / by Gaston M. N'Guerekata |

Imprint | Boston, MA : Springer US : Imprint: Springer, 2001 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-4482-8 |

Descript | X, 138 p. online resource |

SUMMARY

Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner. It also applies the results obtained to study almost automorphic solutions of abstract differential equations, expanding the core topics with a plethora of groundbreaking new results and applications. For the sake of clarity, and to spare the reader unnecessary technical hurdles, the concepts are studied using classical methods of functional analysis

CONTENT

1 Introduction and Preliminaries -- 2 Almost Automorphic Functions with Values in a Banach Space -- 3 Almost Periodic Functions with Values in a Linear Topological Space -- 4 The Equation x?(t) = Ax(t) + f(t) -- 5 The Equation x? = f(t, x) -- 6 A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Automorphic Solutions -- 7 Almost Periodic Solutions of the Equation x? = Ax + f in Locally Convex Spaces -- 8 Almost Periodic Solutions of Differential Equations in Normed Spaces -- References

Mathematics
Functional analysis
Operator theory
Differential equations
Partial differential equations
Special functions
Mathematics
Ordinary Differential Equations
Functional Analysis
Partial Differential Equations
Special Functions
Operator Theory