A Second-Order Self-Adjoint Dynamic Equation on a Time Scale

Abstract

In this paper we are concerned with the second-order self-adjoint dynamic equation P(T)X (SUP TRIANGLE UP)(T) (sup triangle down) + q(t)x(t) = 0 on a time scale. Little work has been done on this equation, which combines both the delta and nabla derivatives. Here, we establish some preliminary results, including an analogue of the Lagrange Identity. We then explore zeros of solutions and disconjugacy.

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Document Details

Document Type
Technical Report
Publication Date
Jul 03, 2002
Accession Number
ADA407858

Entities

People

  • Kirsten R. Messer

Organizations

  • University of Nebraska–Lincoln

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Fields of Study

  • Mathematics

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