Theory of Third-Order Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Theory of Third-Order Differential Equations by Seshadev Padhi, Smita Pati, Springer India
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Seshadev Padhi, Smita Pati ISBN: 9788132216148
Publisher: Springer India Publication: October 16, 2013
Imprint: Springer Language: English
Author: Seshadev Padhi, Smita Pati
ISBN: 9788132216148
Publisher: Springer India
Publication: October 16, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer India

Cover of the book Trimming, Miniaturization and Ideality via Convolution Technique of TRIZ by Seshadev Padhi, Smita Pati
Cover of the book The Grape Entomology by Seshadev Padhi, Smita Pati
Cover of the book Linear Systems by Seshadev Padhi, Smita Pati
Cover of the book Managing Workplace Stress by Seshadev Padhi, Smita Pati
Cover of the book Proceedings of the Second International Conference on Computer and Communication Technologies by Seshadev Padhi, Smita Pati
Cover of the book Industrial and Labor Economics by Seshadev Padhi, Smita Pati
Cover of the book Polyploidy: Recent Trends and Future Perspectives by Seshadev Padhi, Smita Pati
Cover of the book Magnetic Perovskites by Seshadev Padhi, Smita Pati
Cover of the book Business Process Transformation by Seshadev Padhi, Smita Pati
Cover of the book Biointensive Integrated Pest Management in Horticultural Ecosystems by Seshadev Padhi, Smita Pati
Cover of the book Women, Wellbeing, and the Ethics of Domesticity in an Odia Hindu Temple Town by Seshadev Padhi, Smita Pati
Cover of the book Second Language Acquisition in Multilingual and Mixed Ability Indian Classrooms by Seshadev Padhi, Smita Pati
Cover of the book Ulcers of the Lower Extremity by Seshadev Padhi, Smita Pati
Cover of the book Proceedings of the Fourth International Conference on Signal and Image Processing 2012 (ICSIP 2012) by Seshadev Padhi, Smita Pati
Cover of the book Seed-borne plant virus diseases by Seshadev Padhi, Smita Pati
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy