Euler-type Boundary Value Problems in Quantum Calculus

Abstract

We study a boundary value problem consisting of a second-order q-difference equation together with Dirichlet boundary conditions. Separation of variables leads us to an eigenvalue problem for a second-order Euler q-difference equation. We determine the exact number of eigenvalues.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Euler-Cauchy dynamic equation; quantum calculus

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 Centre for Environment, Social, and Economic Research / Gale Group, All rights reserved.

Publication Date

01 Jan 2007

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