The formalism of Supersymmetric Quantum Mechanics provides us the eigenfunctions to be used in the variational method to obtain the eigenvalues for the Hulthén Potential. PACS No. 03.65. Work supported in part by FAPESP, CNPq and FUNDUNESP

In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem second-order differential equation containing fractional derivative operator. The differentiation operator was considered according to two definitions: Gerasimov-Caputo Riemann-Liouville-Visualizations eigenfunctions, biorthogonal system, distribution on real axis were present...

In this study we investigate asymptotic behavior of eigenvalues and eigenfunctions of one discontinuous Sturm-Liouville problem with eigendependent boundary and transmission conditions. c ©2003 Yang’s Scientific Research Institute, LLC. All rights reserved.

The formalism of Supersymmetric Quantum Mechanics provides us the eigenfunctions to be used in the variational method to obtain the eigenvalues for the Hulthén Potential. PACS No. 03.65. Work supported in part by FAPESP, CNPq and FUNDUNESP

We povide new formulae for the wave operators in the context of the Friedrichs-Faddeev model. Continuity with respect to the energy of the scattering matrix and a few results on eigenfunctions corresponding to embedded eigenvalues are also derived.

We consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the study of viscoelastic shear flow. The eigenvalues and eigenfunctions are computed by a spectral method involving Laguerre functions and Legendre polynomials.

We prove the exponential decay of eigenfunctions of reductions of Brown– Ravenhall operators to arbitrary irreducible representations of rotation–reflection and permutation symmetry groups under the assumption that the corresponding eigenvalues are below the essential spectrum.

We establish sufficient assumptions on sequences of Fucik eigenvalues the one-dimensional Laplacian which guarantee that corresponding eigenfunctions form a Riesz basis in $L^2(0,\pi)$.

We study the decay of eigenfunctions of the non self-adjoint matrix operator H = ( −∆+μ+U W −W ∆−μ−U ) , for μ > 0, corresponding to eigenvalues in the strip −μ < ReE < μ.