Second Order Self-Adjoint Equations with Mixed Derivatives

  • Kirsten Messer


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.


Dynamic Equation Riccati Equation Independent Solution Generalize Zero Generalize Exponential Function 
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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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