Results 161 to 170 of about 4,764 (211)
Sturm—Liouville problems and discontinuous eigenvalues
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999 If a Sturm—Liouville problem is given in an open interval of the real line, then regular boundary value problems can be considered on compact sub-intervals. For these regular problems, all with necessarily discrete spectra, the eigenvalues depend on both the end-points of the compact intervals, and upon the choice of the real separated boundary ...
Everitt, W. N., Möller, M., Zettl, A.
openaire +2 more sources
Inverse Sturm–Liouville problems with finite spectrum
Journal of Mathematical Analysis and Applications, 2012 We study inverse Sturm–Liouville problems of Atkinson type whose spectrum consists entirely of a finite set of eigenvalues. We show that given two finite sets of interlacing real numbers there exists a class of Sturm–Liouville equations of Atkinson type ...
Qingkai Kong, Anton Zettl
exaly +2 more sources
Sturm–Liouville problems with discontinuities at two points
Computers and Mathematics With Applications, 2007 In this paper we extend some spectral properties of regular Sturm–Liouville problems to those which consist of a Sturm–Liouville equation with piecewise continuous potentials together with eigenparameter-dependent boundary conditions and four ...
Mahir Kadakal
exaly +2 more sources
, 2008 Regular and singular Sturm-Liouville problems (SLP) are studied including the continuous and differentiable dependence of eigenvalues on the problem.
Anton Zettl
openaire +2 more sources
Computing eigenvalues of regular Sturm-Liouville problems
Applied Mathematics Letters, 1999 In this paper, we shall extend our results on the use of sampling theory in the computation of the Dirichlet eigenvalues of regular Sturm-Liouville problems to problems with more general separable boundary ...
B Chanane
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Indefinite Sturm–Liouville problems
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003We study the spectrum of regular and singular Sturm–Liouville problems with real-valued coefficients and a weight function that changes sign. The self-adjoint boundary conditions may be regular or singular, separated or coupled. Sufficient conditions are found for (i) the spectrum to be real and unbounded below as well as above and (ii) the essential ...
Kong, Q., Wu, H., Zettl, A., Möller, M.
openaire +2 more sources
Matrix representations of Sturm–Liouville problems with transmission conditions
Computers and Mathematics With Applications, 2012 We identify a class of Sturm–Liouville equations with transmission conditions such that any Sturm–Liouville problem consisting of such an equation with transmission condition and an arbitrary separated or real coupled self-adjoint boundary condition has ...
Ji-Jun Ao, Jiong Sun
exaly +2 more sources
A hierarchy of Sturm–Liouville problems
Mathematical Methods in the Applied Sciences, 2003AbstractSturm–Liouville equations will be considered where the boundary conditions depend rationally on the eigenvalue parameter. Such problems apply to a variety of engineering situations, for example to the stability of rotating axles. Classesof these problems will be isolated with a rather rich spectral structure, for example oscillation, comparison
openaire +1 more source
Automatic solution of Sturm-Liouville problems using the Pruess method
Journal of Computational and Applied Mathematics, 1992 We develop algorithms based on coefficient approximation for the automatic solution of regular and singular Sturm–Liouville ...
Marco Marletta, John D Pryce
exaly +2 more sources
Applied Mathematics & Optimization, 1994
There is considered a singular Sturm-Liouville problem \[ -(u' \sin \alpha \theta)' = \lambda u \sin^ \alpha \theta,\quad \alpha \geq 1, \quad u (\theta_ 0) = 0,\;\theta_ 0 \in (0,\pi), \] \[ \int_ 0^{\theta_ 0} u^ 2 \sin^ \alpha \theta \quad d \theta < \infty. \] The eigenvalue problem of such type arises in many situations in analysis.
openaire +2 more sources
There is considered a singular Sturm-Liouville problem \[ -(u' \sin \alpha \theta)' = \lambda u \sin^ \alpha \theta,\quad \alpha \geq 1, \quad u (\theta_ 0) = 0,\;\theta_ 0 \in (0,\pi), \] \[ \int_ 0^{\theta_ 0} u^ 2 \sin^ \alpha \theta \quad d \theta < \infty. \] The eigenvalue problem of such type arises in many situations in analysis.
openaire +2 more sources