Theory of third-order differential equations [electronic resource] / Seshadev Padhi, Smita Pati.

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Theory of third-order differential equations [electronic resource] / Seshadev Padhi, Smita Pati.

9788132216148 electronic book
8132216148 electronic book
9788132216131

New Delhi : Springer, 2014.

English

1 online resource (xv, 507 pages.)

10.1007/978-81-322-1614-8 doi

QA371

515/.35

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.

Includes bibliographical references and index.

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Description based on online resource; title from PDF title page (SpringerLink, viewed October 21, 2013).

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