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arXiv · 2302.01573

$p$-Hyperbolic Zolotarev Functions in Boundary Value Problems for a $p\,$th order Differential Operator

M. F. Bessmertny\uı·V. A. Zolotarev
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Abstract

For the self-adjoint operator of the $p$th derivative, a system of fundamental solutions is constructed. This system is analogues to the classical system of sines and cosines. The properties of such functions are studied. Classes of self-adjoint boundary conditions are described. For the operator of the third derivative, the resolvent is calculated and an orthonormal basis of eigenfunctions is given.

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M. F. Bessmertny\uı, V. A. Zolotarev. 2023-02-03. $p$-Hyperbolic Zolotarev Functions in Boundary Value Problems for a $p\,$th order Differential Operator. https://arxiv.org/abs/2302.01573

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