Theory of Third-Order Differential Equations by Seshadev PadhiTheory of Third-Order Differential Equations by Seshadev Padhi

Theory of Third-Order Differential Equations

bySeshadev Padhi, Smita Pati

Hardcover | October 28, 2013

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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 thez-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.

SESHADEV PADHI is associate professor of mathematics at Birla Institute of Technology, Mesra, Ranchi, Jharkhand, India. He received his PhD on the topic "oscillation theory of third-order differential equations". He was awarded the Better Opportunities for Young Scientists in Chosen Areas of Science and Technology (BOYSCAST) fellowship...
Title:Theory of Third-Order Differential EquationsFormat:HardcoverDimensions:507 pagesPublished:October 28, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:813221613X

ISBN - 13:9788132216131


Table of Contents

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.