In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission ...

New error estimates for eigenvalues of symmetric integral equations are obtained. These estimates are applicable to a more general class of integration methods and, in many cases, are better than ...

Eigenvalue Problem: A mathematical formulation in which one seeks to find scalar values (eigenvalues) and corresponding functions (eigenfunctions) that satisfy a given operator equation under ...

Spectral analysis, meanwhile, investigates the eigenvalues and eigenfunctions associated with differential operators, shedding light on the stability, resonance, and vibration properties of systems.