Selected Topics in Almost Periodicity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Selected Topics in Almost Periodicity write by Marko Kostić. This book was released on 2021-11-22. Selected Topics in Almost Periodicity available in PDF, EPUB and Kindle. 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.
Selected Topics in Almost Periodicity
Selected Topics in Almost Periodicity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Selected Topics in Almost Periodicity write by Marko Kostić. This book was released on 2021-11-22. Selected Topics in Almost Periodicity available in PDF, EPUB and Kindle. 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.
Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions
Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions write by T. Yoshizawa. This book was released on 2012-12-06. Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions available in PDF, EPUB and Kindle. Since there are several excellent books on stability theory, the author selected some recent topics in stability theory which are related to existence theorems for periodic solutions and for almost periodic solutions. The author hopes that these notes will also serve as an introduction to stability theory. These notes contain stability theory by Liapunov's second method and somewhat extended discussion of stability properties in almost periodic systems, and the existence of a periodic solution in a periodic system is discussed in connection with the boundedness of solutions, and the existence of an almost periodic solution in an almost periodic system is considered in con nection with some stability property of a bounded solution. In the theory of almost periodic systems, one has to consider almost periodic functions depending on parameters, but most of text books on almost periodic functions do not contain this case. Therefore, as mathemati cal preliminaries, the first chapter is intended to provide a guide for some properties of almost periodic functions with parameters as well as for properties of asymptotically almost periodic functions. These notes originate from a seminar on stability theory given by the author at the Mathematics Department of Michigan State Univer sity during the academic year 1972-1973. The author is very grateful to Professor Pui-Kei Wong and members of the Department for their warm hospitality and many helpful conversations. The author wishes to thank Mrs.
Metrical Almost Periodicity and Applications to Integro-Differential Equations
Metrical Almost Periodicity and Applications to Integro-Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Metrical Almost Periodicity and Applications to Integro-Differential Equations write by Marko Kostić. This book was released on 2023-06-06. Metrical Almost Periodicity and Applications to Integro-Differential Equations available in PDF, EPUB and Kindle. 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.
Topics in Almost Automorphy
Topics in Almost Automorphy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Almost Automorphy write by Gaston M. N'Guérékata. This book was released on 2007-07-10. Topics in Almost Automorphy available in PDF, EPUB and Kindle. Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of invariant s- spaces, uniform spectrum), and new concepts (almost periodicity and almost automorphy in fuzzy settings) have been introduced in the literature. The range of applications include at present linear and nonlinear evolution equations, integro-differential and functional-differential equations, dynamical systems, etc...It has become imperative to take a bearing of the main steps of the the ory. That is the main purpose of this monograph. It is intended to inform the reader and pave the road to more research in the field. It is not a self contained book. In fact, [80] remains the basic reference and fimdamental source of information on these topics. Chapter 1 is an introductory one. However, it contains also some recent contributions to the theory of almost automorphic functions in abstract spaces. VIII Preface Chapter 2 is devoted to the existence of almost automorphic solutions to some Unear and nonUnear evolution equations. It con tains many new results. Chapter 3 introduces to almost periodicity in fuzzy settings with applications to differential equations in fuzzy settings. It is based on a work by B. Bede and S. G. Gal [40].
