Third Order Linear Differential Equations

Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'....

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Bibliographic Details
Main Author: Gregus, Michal
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1987, 1987
Edition:1st ed. 1987
Series:Mathematics and its Applications, East European Series
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Third Order Linear Homogeneous Differential Equations in Normal Form
  • §1. Fundamental Properties of Solutions of the Third Order Linear Homogeneous Differential Equation
  • §2. Oscillatory Properties of Solutions of the Differential Equation (a)
  • §3. Asymptotic Properties of Solutions of the Differential Equations (a) and (b)
  • §4. Boundary Value Problems
  • II. Third Order Linear Homogeneous Differential Equations with Continuous Coefficients
  • §5. Principal Properties of Solutions of Linear Homogeneous Third Order Differential Equations with Continuous Coefficients
  • §6. Conditions for Disconjugateness, Non-oscillatoricity and Oscillatoricity of Solutions of the Differential Equation (A)
  • §7. Comparison Theorems for Differential Equations of Type (A) and Their Applications
  • III. Concluding Remarks
  • 1. Special Forms of Third Order Differential Equations
  • 2. Remark on Mutual Transformation of Solutions of Third Order Differential Equations
  • IV. Applications of Third Order Linear Differential Equation Theory
  • §8. Some Applications of Linear Third Order Differential Equation Theory to Non-linear Third Order Problems
  • §9. Physical and Engineering Applications of Third Order Differential Equations
  • References