Asymptotics of the number of eigenvalues of one-term second-order operator equations

Hashimoglu I.

ADVANCES IN DIFFERENCE EQUATIONS, 2015 (SCI İndekslerine Giren Dergi) identifier identifier


We study one-term operator L acting in the space H-1 = L-2([0,infinity); H) generated by the operator-differential expression L = -d/dx(P(x)d/dx) and the boundary condition y(0) = 0. We evaluate the asymptotic number of eigenvalues of the operator L under certain conditions.