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008			191107s2018 flu ob 001 0 eng
040			_aOCoLC-P _beng _erda _cOCoLC-P
020			_a9780429030369 (electronic bk)
020			_a0429030363 (electronic bk)
020			_a9780429638473 _q(electronic bk. : EPUB)
020			_a0429638477 _q(electronic bk. : EPUB)
020			_a9780429641640 _q(electronic bk. : PDF)
020			_a0429641648 _q(electronic bk. : PDF)
020			_z9780367137236
020			_z0367137232
035			_a(OCoLC)1127538721
035			_a(OCoLC-P)1127538721
050		4	_aQA351 _b.C2525 2018
072		7	_aMAT _x003000 _2bisacsh
072		7	_aMAT _x007000 _2bisacsh
072		7	_aMED _x000000 _2bisacsh
072		7	_aTBJ _2bicssc
082	0	4	_a515/.5 _223
100	1		_aCampos, Luis Manuel Braga da Costa, _eauthor.
245	1	0	_aSingular differential equations and special functions / _cLuis Manuel Braga da Campos.
264		1	_aBoca Raton : _bCRC Press, Taylor & Francis Group, _c2018.
300			_a1 online resource (pages cm.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
520			_aSingular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fifth book consists of one chapter (chapter 9 of the set). The chapter starts with general classes of differential equations and simultaneous systems for which the properties of the solutions can be established 'a priori', such as existence and unicity of solution, robustness and uniformity with regard to changes in boundary conditions and parameters, and stability and asymptotic behavior. The book proceeds to consider the most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular singularities. The solution of singular differential equations by means of (i) power series; (ii) parametric integral transforms; and (iii) continued fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special functions that specify their solutions. Includes existence, unicity, robustness, uniformity, and other theorems for non-linear differential equations Discusses properties of dynamical systems derived from the differential equations describing them, using methods such as Liapunov functions Includes linear differential equations with periodic coefficients, including Floquet theory, Hill infinite determinants and multiple parametric resonance Details theory of the generalized Bessel differential equation, and of the generalized, Gaussian, confluent and extended hypergeometric functions and relations with other 20 special functions Examines Linear Differential Equations with analytic coefficients or regular or irregular singularities, and solutions via power series, parametric integral transforms, and continued fractions
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aFunctions, Special.
650		0	_aDifferential equations.
650		0	_aMathematical analysis.
650		7	_aMATHEMATICS / Applied _2bisacsh
650		7	_aMATHEMATICS / Differential Equations _2bisacsh
650		7	_aMEDICAL / General _2bisacsh
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9780429030369
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c127226 _d127226