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001			9780429446740
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006			m o d
007			cr
008			181112t20182019fluab ob 001 0 eng d
020			_a9780429446740 _q(e-book : PDF)
035			_a(OCoLC)1055160812
040			_aFlBoTFG _cFlBoTFG _erda
041	1		_aeng
050		4	_aQA372
072		7	_aMAT _x002000 _2bisacsh
072		7	_aMAT _x007000 _2bisacsh
072		7	_aMAT _x012000 _2bisacsh
072		7	_aPB _2bicscc
082	0	4	_a515/.35
100	1		_aGraef, John R., _eauthor.
245	1	0	_aTopological Methods for Differential Equations and Inclusions / _cby John R. Graef, Johnny Henderson and Abdelghani Ouahab.
250			_aFirst edition.
264		1	_aBoca Raton, FL : _bCRC Press, _c[2018].
264		4	_c©2019.
300			_a1 online resource (374 pages) : _b1 illustrations, text file, PDF.
336			_atext _2rdacontent
337			_acomputer _2rdamedia
338			_aonline resource _2rdacarrier
490	1		_aChapman & Hall/CRC Monographs and Research Notes in Mathematics
504			_aIncludes bibliographical references and index.
505	0	0	_tIntroduction -- _t1 Background in Multi-valued Analysis -- _t2 Hausdorff-Pompeiu Metric Topology -- _t3 Measurable Multifunctions -- _t4 Continuous Selection Theorems -- _t5 Linear Multivalued Operators -- _t6 Fixed Point Theorems -- _t7 Generalized Metric and Banach Spaces -- _t8 Fixed Point Theorems in Vector Metric and Banach Spaces -- _t9 Random fixed point theorem -- _t10 Semigroups -- _t11 Systems of Impulsive Differential Equations on the Half-line -- _t12 Differential Inclusions -- _t13 Random Systems of Differential Equations -- _t14 Random Fractional Differential Equations via Hadamard Fractional Derivative -- _t15 Existence Theory for Systems of Discrete Equations -- _t16 Discrete Inclusions -- _t17 Semilinear System of Discrete Equations -- _t18 Discrete Boundary Value Problems -- _t19 Appendix.
520	3		_aTopological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.
530			_aAlso available in print format.
650		0	_aDifferential equations.
650		0	_aTopology.
650		0	_aDifferential inclusions.
650		7	_aMATHEMATICS / Differential Equations. _2bisacsh
650		7	_aMATHEMATICS / Geometry / General. _2bisacsh
650		7	_aFixed Point Theorems. _2bisacsh
650		7	_aGeneralized metric space. _2bisacsh
650		7	_aImpulsive Differential Equations. _2bisacsh
650		7	_aMeasurable Multifunctions. _2bisacsh
650		7	_aMulti-valued Analysis. _2bisacsh
655		0	_aElectronic books.
700	1		_aHenderson, Johnny, _eauthor.
700	1		_aOuahab, Abdelghani , _eauthor.
710	2		_aTaylor and Francis.
776	0	8	_iPrint version: _z9781138332294
830		0	_aChapman & Hall/CRC Monographs and Research Notes in Mathematics.
856	4	0	_uhttps://www.taylorfrancis.com/books/9780429446740 _zClick here to view.
999			_c58826 _d58826