Summary
It is shown that a change of the basis in the solution space of a second order linear differential equation induces a covariant change in the solution space of the corresponding iterative equation. Also studied is the problem to what extent a solution of an iterative equation determines the equation.
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Dedicated to the memory of Alexander M. Ostrowski on the occasion of the 100th anniversary of his birth.
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Neuman, F. On then-th order iterative ordinary linear differential equations. Aeq. Math. 46, 38–43 (1993). https://doi.org/10.1007/BF01833996
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DOI: https://doi.org/10.1007/BF01833996