Theory of Third-Order Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2014)

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.

General

Imprint:	Springer, India, Private Ltd
Country of origin:	India
Release date:	August 2016
First published:	2014
Authors:	Seshadev Padhi • Smita Pati
Dimensions:	235 x 155 x 27mm (L x W x T)
Format:	Paperback
Pages:	507
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-81-322-2920-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	81-322-2920-7
Barcode:	9788132229209

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