Problem with integral conditions for a partial differential equation with Bessel operators

Authors

  • A.M. Kuz Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 3-b Naukova str, 79060, Lviv, Ukraine
https://doi.org/10.15330/cmp.18.1.328-344

Keywords:

singular Bessel operator, Fourier-Bessel series, generalized hypergeometric function, integral condition, ill-posed problem, small denominator
Published online: 2026-06-30

Abstract

In the rectangular domain we study a problem with integral conditions with respect to one of the variables for a partial differential equation with singular Bessel operators. A criterion for the unique solvability of this problem and sufficient conditions for the existence of its solution are established. To solve the problem of small denominators arising in some cases of the considered problem, we used the metric approach.

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How to Cite
(1)
Kuz, A. Problem With Integral Conditions for a Partial Differential Equation With Bessel Operators. Carpathian Math. Publ. 2026, 18, 328-344.