000			03424nam a22004455i 4500
001			978-0-387-89492-8
003			DE-He213
005			20251006084430.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387894928
020			_a99780387894928
024	7		_a10.1007/978-0-387-89492-8 _2doi
100	1		_aKannappan, Palaniappan. _eauthor.
245	1	0	_aFunctional Equations and Inequalities with Applications _h[electronic resource] / _cby Palaniappan Kannappan.
264		1	_aBoston, MA : _bSpringer US, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aBasic Equations: Cauchy and Pexider Equations -- Matrix Equations -- Trigonometric Functional Equations -- Quadratic Functional Equations -- Characterization of Inner Product Spaces -- Stability -- Characterization of Polynomials -- Nondifferentiable Functions -- Characterization of Groups, Loops, and Closure Conditions -- Functional Equations from Information Theory -- Abel Equations and Generalizations -- Regularity Conditions-Christensen Measurability -- Difference Equations -- Characterization of Special Functions -- Miscellaneous Equations -- General Inequalities -- Applications.
520			_aFunctional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch of mathematics with far-reaching applications; it is increasingly used to investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material. The book is intended as a reference tool for any student, professional (researcher), or mathematician studying in a field where functional equations can be applied. It can also be used as a primary text in a classroom setting or for self-study. Finally, it could be an inspiring entrée into an active area of mathematical exploration for engineers and other scientists who would benefit from this careful, rigorous exposition.
650		0	_aMATHEMATICS.
650		0	_aFUNCTIONAL EQUATIONS.
650		0	_aFUNCTIONAL ANALYSIS.
650	1	4	_aMATHEMATICS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
650	2	4	_aFUNCTIONAL ANALYSIS.
650	2	4	_aDIFFERENCE AND FUNCTIONAL EQUATIONS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387894911
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-89492-8 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59449 _d59449