000			03607nam a22004935i 4500
001			978-1-4614-3455-9
003			DE-He213
005			20140220083247.0
007			cr nn 008mamaa
008			120420s2012 xxu| s |||| 0|eng d
020			_a9781461434559 _9978-1-4614-3455-9
024	7		_a10.1007/978-1-4614-3455-9 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aAgarwal, Ravi P. _eauthor.
245	1	0	_aNonoscillation Theory of Functional Differential Equations with Applications _h[electronic resource] / _cby Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky.
264		1	_aNew York, NY : _bSpringer New York, _c2012.
300			_aXV, 520p. 10 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_a1. Introduction to Oscillation Theory -- 2. Scalar Delay Differential Equations on Semiaxes -- 3. Scalar Delay Differential Equations on Semiaxis with Positive and Negative Coefficients -- 4. Oscillation of Equations with a Distributed Delay -- 5. Scalar Advanced and Mixed Differential Equations on Semiaxes -- 6. Neutral Differential Equations -- 7. Second Order Delay Differential Equations -- 8. Second Order Delay Differential Equations with Damping Terms -- 9. Vector Delay Differential Equations -- 10. Linearized Methods for Nonlinear Equations with a Distributed Delay -- 11. Nonlinear Models - Modifications of Delay Logistic Equations -- 12. First Order Linear Delay Impulsive Differential Equation -- 13. Second Order Linear Delay Impulsive Differential Equations -- 14. Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations -- 15. Maximum Principles and Nonoscillation Intervals for First Order Volterra Functional Differential Equations -- 16. Systems of Functional Differential Equations on Finite Intervals -- 17. Nonoscillation Interval for n-th Order Functional Differential Equations -- Appendix A -- Appendix B.
520			_aThis monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types,  equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aDifferential equations, partial.
650		0	_aFunctions, special.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aSpecial Functions.
650	2	4	_aFunctional Analysis.
700	1		_aBerezansky, Leonid. _eauthor.
700	1		_aBraverman, Elena. _eauthor.
700	1		_aDomoshnitsky, Alexander. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461434542
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-3455-9
912			_aZDB-2-SMA
999			_c101373 _d101373