000			03527nam a22004695i 4500
001			978-0-387-09819-7
003			DE-He213
005			20250710083926.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387098197 _a99780387098197
024	7		_a10.1007/978-0-387-09819-7 _2doi
100	1		_aCorduneanu, Constantin. _eauthor.
245	1	0	_aAlmost Periodic Oscillations and Waves _h[recurso electrónico] / _cby Constantin Corduneanu.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aMetric 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			_aThis 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	_aMATHEMATICS.
650		0	_aDIFFERENTIABLE DYNAMICAL SYSTEMS.
650		0	_aFOURIER ANALYSIS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aFUNCTIONS, SPECIAL.
650		0	_aVIBRATION.
650	1	4	_aMATHEMATICS.
650	2	4	_aDYNAMICAL SYSTEMS AND ERGODIC THEORY.
650	2	4	_aVIBRATION, DYNAMICAL SYSTEMS, CONTROL.
650	2	4	_aFOURIER ANALYSIS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aSPECIAL FUNCTIONS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387098180
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-09819-7 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56080 _d56080