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001 978-81-322-1614-8
003 DE-He213
005 20140220082526.0
007 cr nn 008mamaa
008 131015s2014 ii | s |||| 0|eng d
020 _a9788132216148
_9978-81-322-1614-8
024 7 _a10.1007/978-81-322-1614-8
_2doi
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.352
_223
100 1 _aPadhi, Seshadev.
_eauthor.
245 1 0 _aTheory of Third-Order Differential Equations
_h[electronic resource] /
_cby Seshadev Padhi, Smita Pati.
264 1 _aNew Delhi :
_bSpringer India :
_bImprint: Springer,
_c2014.
300 _aXV, 507 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- Chapter 1: Introduction -- Chapter 2: Behaviour of Solutions of Linear Homogeneous Differential Equations of Third Order -- Chapter 3: Oscillation of Solutions of Linear Nonhomogeneous Differential Equations of Third Order -- Chapter 4: Oscillation and Nonoscillation of Homogeneous Third-order Nonlinear Differential Equations -- Chapter 5: Oscillation and Nonoscillation of Nonlinear Nonhomogeneous Differential Equations of Third Order -- Chapter 6: Oscillatory and Asymptotic Behavior of Solutions of Third Order Delay Differential Equations -- Chapter 7: Stability of Third Order Differential Equations -- References.
520 _aThis book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, in his book written in 1987, only deals with third-order linear differential equations. These findings are old, and new techniques have since been developed and new results obtained. Chapter 1 introduces the results for oscillation and non-oscillation of solutions of third-order linear differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of non-oscillatory solutions of homogeneous third-order linear differential equations with variable coefficients are discussed in Ch. 2. The results are extended to third-order linear non-homogeneous equations in Ch. 3, while Ch. 4 explains the oscillation and non-oscillation results for homogeneous third-order nonlinear differential equations. Chapter 5 deals with the z-type oscillation and non-oscillation of third-order nonlinear and non-homogeneous differential equations. Chapter 6 is devoted to the study of third-order delay differential equations. Chapter 7 explains the stability of solutions of third-order equations. Some knowledge of differential equations, analysis and algebra is desirable, but not essential, in order to study the topic.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aGlobal analysis (Mathematics).
650 0 _aFunctional equations.
650 0 _aDifferential Equations.
650 1 4 _aMathematics.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aAnalysis.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aAlgebra.
700 1 _aPati, Smita.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788132216131
856 4 0 _uhttp://dx.doi.org/10.1007/978-81-322-1614-8
912 _aZDB-2-SMA
999 _c93762
_d93762