Some Spectral Properties of a Boundary Value Problem with a Spectral Parameter in the Boundary Condition

Abstract

Along with problem (1),(2), we consider boundary value problem (1),(2a),(2b),(2c),(2d'). For the latter problem, the oscillation properties of its eigenfunctions corresponding to positive eigenvalues were studied in detail in [8]. In this context, the following two cases were excluded from consideration in [8]:(i) α= γ= 0 and β= δ=; and (ii) the arbitrary three parameters out of α, β, γ, and δ are equal to. Note that, in fact, only the case β= δ= is to be excluded. ψ cot r' 2ψ θ ϕ+() sin sin q 1 p