Almost Periodic Solutions of Differential Equations in Banach Spaces

Almost Periodic Solutions of Differential Equations in Banach Spaces
Author: Yoshiyuki Hino
Publisher: CRC Press
Total Pages: 258
Release: 2001-10-25
Genre: Mathematics
ISBN: 1482263165

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This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with

Existence and Stability of Almost Periodic Solutions of Differential Equations in Banach Spaces

Existence and Stability of Almost Periodic Solutions of Differential Equations in Banach Spaces
Author: C. T. Taam
Publisher:
Total Pages: 29
Release: 1964
Genre: Banach spaces
ISBN:

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Conditions are obtained for certain nonlinear differential equations in a Banach space to possess a unique almost periodic solution which is positively asymptotically stable and negatively unstable. The streatment rests mainly on careful study of certain mappings between the space of almost periodic functions and the space of generalized almost periodic functions. (Author).

Almost Periodic Differential Equations

Almost Periodic Differential Equations
Author: A.M. Fink
Publisher: Springer
Total Pages: 345
Release: 2006-11-15
Genre: Mathematics
ISBN: 3540383077

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Almost Periodic Solutions of Impulsive Differential Equations

Almost Periodic Solutions of Impulsive Differential Equations
Author: Gani T. Stamov
Publisher: Springer
Total Pages: 235
Release: 2012-03-08
Genre: Mathematics
ISBN: 364227546X

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In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Selected Topics in Almost Periodicity

Selected Topics in Almost Periodicity
Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 606
Release: 2021-11-22
Genre: Mathematics
ISBN: 3110763605

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Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.

Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations
Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 372
Release: 2019-05-06
Genre: Mathematics
ISBN: 3110641259

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This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.

Almost Periodic Solutions of Differential Equations in Banach Spaces

Almost Periodic Solutions of Differential Equations in Banach Spaces
Author: Yoshiyuki Hino
Publisher: CRC Press
Total Pages: 276
Release: 2001-10-25
Genre: Mathematics
ISBN: 9780415272667

Download Almost Periodic Solutions of Differential Equations in Banach Spaces Book in PDF, Epub and Kindle

This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.

Metrical Almost Periodicity and Applications to Integro-Differential Equations

Metrical Almost Periodicity and Applications to Integro-Differential Equations
Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 561
Release: 2023-06-06
Genre: Mathematics
ISBN: 3111234177

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The theory of almost periodic functions is a very active field of research for scholars. This research monograph analyzes various classes of multi-dimensional metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to the abstract Volterra integro-differential inclusions in Banach spaces.