Abstract:
We prove that the operator of a boundary value problem of heat conduction in an infinite angular domain is Noetherian with index −1 in the class of growing functions.
Keywords:
heat conduction, Volterra equation, Abel equation, index.
Citation:
M. M. Amangalieva, M. T. Dzhenaliev, M. T. Kosmakova, M. I. Ramazanov, “On one homogeneous problem for the heat equation in an infinite angular domain”, Sibirsk. Mat. Zh., 56:6 (2015), 1234–1248; Siberian Math. J., 56:6 (2015), 982–995