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Theory of Third-Order Differential Equations

THEORY OF THIRD-ORDER DIFFERENTIAL EQUATIONS

Mathematics

Mathematics & Science

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

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.

POST SECONDARY FOUR YEAR

COLFR

COLSO

COLJR

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Half Tilte Page.
Title Page.
Copyright Page.
Dedication.
Preface.
Acknowledgements.
Contents.
1: Introduction.
2: Behaviour of Solutions of Linear Homogeneous Differential Equations of Third Order.
3: Oscillation of Solutions of Linear Nonhomogeneous Differential Equations of Third Order.
4: Oscillation and Nonoscillation of Homogeneous Third-Order Nonlinear Differential Equations.
5: Oscillation and Nonoscillation of Nonlinear Nonhomogeneous Differential Equations of Third Order.
6: Oscillatory and Asymptotic Behaviour of Solutions of Third-Order Delay Differential Equations.
7: Stability of Third-Order Differential Equations.
About the Author.
Index.

Theory of Third-Order Differential Equations.css-1p8rvzy{position:absolute;padding-left:8px;}

Theory of Third-Order Differential Equations