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Second Order Self-Adjoint Equations with Mixed Derivatives

  • Kirsten Messer

Abstract

In this chapter, we are concerned with the second order self-adjoint dynamic equation (p(t)x )+q(t)x=0 on a time scale. When \( \mathbb{T} = \mathbb{R} \) , this reduces to the usual self-adjoint differential equation, (p(t)x′)′+q(t)x=0.

Keywords

Dynamic Equation Riccati Equation Independent Solution Generalize Zero Generalize Exponential Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Kirsten Messer
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of Nebraska-LincolnLincolnUSA

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