A note on higher monotonicity properties of certain Sturm-Liouville functions. II.
A note on higher monotonicity properties of certain Sturm-Liouville functions. III
A Note on Pairs of Solutions of a Nonlinear Sturm-Liouville Problem.
A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a -Laplacian type operator
This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval . The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.
A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator.
A proof of monotony of the Temple quotients in eigenvalue problems
If the so-called Collatz method is applied to get twosided estimates of the first eigenvalue , the sequences of the so-called Schwarz quatients (which are upper bounds for ) and of the so-called Temple quotients (which are lower bounds) are constructed. While monotony of the first sequence was proved many years ago, monotony of the second one has been proved only recently by F. goerisch and J. Albrecht in their common paper “Die Monotonie der Templeschen Quotienten” (ZAMM, in print). In the present...
A remark to one result of M. E. Muldoon
A simple proof of the spectral continuity of the Sturm-Liouville problem
The aim of this article is to present a simple proof of the theorem about perturbation of the Sturm-Liouville operator in Liouville normal form.
A singular Sturm-Liouville problem treated by non-standard analysis.
A spectral Galerkin approximation of the Orr-Sommerfeld eigenvalue problem in a semi-finite domain.
A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices.
A Sturm-Liouville problem with spectral and large parameters in boundary conditions and the associated Cauchy problem
We study a Sturm-Liouville problem containing a spectral parameter in the boundary conditions. We associate to this problem a self-adjoint operator in a Pontryagin space Π₁. Using this operator-theoretic formulation and analytic methods, we study the asymptotic behavior of the eigenvalues under the variation of a large physical parameter in the boundary conditions. The spectral analysis is applied to investigate the well-posedness and stability of the wave equation of a string.
A theory on perturbations of the Dirac operator.
A trace formula of a boundary value problem for the operator Sturm-Liouville equation.
About poles of the resolvent, in a model for a harmonic oscillator coupled with massless scalar bosons
Absolut stetiges Spektrum bei Sturm-Liouville-Operatoren und Dirac-Systemen.
Absolute Continuity of Hamiltonians with von Neumann Wigner Potentials II.
Absolute Continuity of the Essential Spectrum of - ... + q (t) without Monotony of q.
Absolutely convergent expansions associated with a boundary-value problem with the eigenvalue parameter contained in one boundary condition
Accurate computation of higher Sturm-Liouville eigenvalues.