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Theory of Third-Order Differential Equations
This 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 differentia...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Delhi :
Springer India : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-81-322-1614-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220113052616.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131015s2014 ii | s |||| 0|eng d | ||
| 020 | |a 9788132216148 |9 978-81-322-1614-8 | ||
| 024 | 7 | |a 10.1007/978-81-322-1614-8 |2 doi | |
| 050 | 4 | |a QA370-380 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Padhi, Seshadev. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Theory of Third-Order Differential Equations |h [electronic resource] / |c by Seshadev Padhi, Smita Pati. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a New Delhi : |b Springer India : |b Imprint: Springer, |c 2014. | |
| 300 | |a XV, 507 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Preface -- 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 | |a This 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 | |a Differential equations. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Difference equations. | |
| 650 | 0 | |a Functional equations. | |
| 650 | 0 | |a Algebra. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Difference and Functional Equations. |
| 650 | 2 | 4 | |a Algebra. |
| 700 | 1 | |a Pati, Smita. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9788132216155 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132216131 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132229209 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-81-322-1614-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||