Second Order Self-Adjoint Equations with Mixed Derivatives

Kirsten Messer ()
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Kirsten Messer: University of Nebraska-Lincoln, Department of Mathematics and Statistics

Chapter Chapter 4 in Advances in Dynamic Equations on Time Scales, 2003, pp 85-116 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-0-8176-8230-9_4

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