Boundary value problems (BVPs) and spectral analysis constitute fundamental areas in the study of differential equations. These topics not only underpin theoretical advances in mathematical analysis ...
Mathematics of Computation, Vol. 87, No. 309 (January 2018), pp. 237-259 (23 pages) Abstract This paper is concerned with computations of a few smallest eigenvalues (in absolute value) of a large ...
In this work, we find the asymptotic formulas for the sum of the negative eigenvalues smaller than −ε (ε > 0) of a self-adjoint operator L defined by the following differential expression ℓ(y) = −(p(x ...