Cargando…

Almost Periodic Oscillations and Waves

This text is well designed with respect to the exposition from the preliminary to the more advanced and the applications interwoven throughout. It provides the essential foundations for the theory as well as the basic facts relating to almost periodicity. In six structured and self-contained chapter...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Corduneanu, Constantin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-0-387-09819-7
003 DE-He213
005 20220118145010.0
007 cr nn 008mamaa
008 100301s2009 xxu| s |||| 0|eng d
020 |a 9780387098197  |9 978-0-387-09819-7 
024 7 |a 10.1007/978-0-387-09819-7  |2 doi 
050 4 |a QA843-871 
072 7 |a GPFC  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a GPFC  |2 thema 
082 0 4 |a 515.39  |2 23 
100 1 |a Corduneanu, Constantin.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Almost Periodic Oscillations and Waves  |h [electronic resource] /  |c by Constantin Corduneanu. 
250 |a 1st ed. 2009. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2009. 
300 |a VIII, 308 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Metric Spaces and Related Topics -- Basic Properties of Almost Periodic Functions -- Fourier Analysis of Almost Periodic Functions -- Linear Oscillations -- Almost Periodic Nonlinear Oscillations -- Almost Periodic Waves. 
520 |a This text is well designed with respect to the exposition from the preliminary to the more advanced and the applications interwoven throughout. It provides the essential foundations for the theory as well as the basic facts relating to almost periodicity. In six structured and self-contained chapters, the author unifies the treatment of various classes of almost periodic functions, while uniquely addressing oscillations and waves in the almost periodic case. The first half of the book lays the groundwork, noting the basic properties of almost periodic functions, while the second half of this work addresses applications whose main emphasis is on the solvability of ordinary or partial differential equations in the class of almost periodic functions. Key topics include: An introduction to metric spaces; Definition of several classes of almost periodic functions, including those of Bohr, Besicovitch, and Stepanov; Classical results on the mean value property; Convergence of Fourier series to any almost periodic function; Almost periodic solutions for ODEs in a linear setting; Almost periodic nonlinear oscillations; Almost periodic waves, including heat waves. The reader is taken from elementary and well-known facts through the latest results in almost periodic oscillation and waves. This is the first text to present these latest results. The presentation level and inclusion of several clearly presented proofs make this work ideal for graduate students in engineering and science. The concept of almost periodicity is widely applicable to continuuum mechanics, electromagnetic theory, plasma physics, dynamical systems, and astronomy, which makes the book a useful tool for mathematicians and physicists. 
650 0 |a Dynamical systems. 
650 0 |a Multibody systems. 
650 0 |a Vibration. 
650 0 |a Mechanics, Applied. 
650 0 |a Fourier analysis. 
650 0 |a Differential equations. 
650 0 |a Special functions. 
650 1 4 |a Dynamical Systems. 
650 2 4 |a Multibody Systems and Mechanical Vibrations. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Differential Equations. 
650 2 4 |a Special Functions. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9780387562001 
776 0 8 |i Printed edition:  |z 9781441918901 
776 0 8 |i Printed edition:  |z 9780387098180 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-0-387-09819-7  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)