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Euler-type Boundary Value Problems in Quantum Calculus

Martin Bohner, Thomas Hudson

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.

Keywords


Euler–Cauchy dynamic equation, quantum calculus.

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