000 | 03626nam a22004935i 4500 | ||
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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 | ||
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_a9788132216148 _9978-81-322-1614-8 |
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024 | 7 |
_a10.1007/978-81-322-1614-8 _2doi |
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050 | 4 | _aQA372 | |
072 | 7 |
_aPBKJ _2bicssc |
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072 | 7 |
_aMAT007000 _2bisacsh |
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082 | 0 | 4 |
_a515.352 _223 |
100 | 1 |
_aPadhi, Seshadev. _eauthor. |
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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. |
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300 |
_aXV, 507 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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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. |
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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 |