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