In the present paper the Neumann problem for the equation Lu≡(tαuα)″+au+f, where 0≤α≤4, t∈[0,b], f∈L2(0,b) , is considered. Firstly, the weighted Sobolev space Wα2 and generalized solution for the abovementioned equation are defined. Then, the existence and uniqueness of the generalized solution is studied, as well as the spectrum and the domain of corresponding operator are described.
No institution available
Mathematics
, 2025, Issue 1, pp. 1–10
ISSN Online: 0000-0000
DOI:
10.xxxx/example-doi