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＜電子ブック＞
Theory of Third-Order Differential Equations / by Seshadev Padhi, Smita Pati

版	1st ed. 2014.
出版者	(New Delhi : Springer India : Imprint: Springer)
出版年	2014
大きさ	XV, 507 p : online resource
著者標目	*Padhi, Seshadev author Pati, Smita author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical analysis LCSH:Difference equations LCSH:Functional equations LCSH:Algebra FREE:Differential Equations FREE:Analysis FREE:Difference and Functional Equations FREE:Algebra
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-81-322-1614-8

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