Initial-boundary value problems for loaded equations involving the Bessel operator

We study initial-boundary value problems for loaded differential equations involving the Bessel operator. To analyze these problems, we apply the transmutation method together with a specially constructed operator that reduces equations with the Bessel operator of arbitrary order to equations without Bessel-type degeneration. This approach allows us to establish the unique solvability of the considered problems and to clarify the role of the loaded term in the obtained results.

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