Results 161 to 170 of about 5,577,530 (204)
Some of the next articles are maybe not open access.
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
The inverse Sturm–Liouville problem III
Communications on Pure and Applied Mathematics, 1984[For part II see ibid. 37, 1-11 (1984; Zbl 0552.58024).] We discuss the inverse spectral theory of the Sturm-Liouville problem \(- y''+q(x)y=\lambda y,\) with boundary conditions \(y(0)=0\), \(by(1)+y'(1)=0.\)
Dahlberg, Björn E. J. +1 more
openaire +2 more sources
An Inverse Problem for the Sturm–Liouville Operator
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Stochastic nonhomogeneous sturm liouville problems
Journal of the Franklin Institute, 1966Abstract Nonhomogeneous boundary value problems of the Sturm-Liouville type having random forcing functions are considered. Estimates for the statistical moments of the response are found in the case that the forcing function is stationary and weakly correlated, thereby extending previous work having to do with stochastic initial value problems.
openaire +2 more sources
Sturm‐Liouville eigenvalue problems on networks
Mathematical Methods in the Applied Sciences, 1988AbstractThe description of heat conduction on ramified wires, for instance, leads to a Sturm‐Liouville eigenvalue problem on a network. It is shown that these problems are special canonical eigenvalue problems in the sense of Hölder, and therefore they can be investigated within the theory of S‐Hermitian eigenvalue problems.
openaire +2 more sources
A nonlocal Sturm–Liouville eigenvalue problem
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1994A nonlocal eigenvalue problem of the form u″ + a(x)u + Bu = λu with homogeneous Dirichlet boundary conditions is considered, where B is a rank-one bounded linear operator and x belongs to some bounded interval on the real line. The behaviour of the eigenvalues is studied using methods of linear perturbation theory. In particular, some results are given
openaire +2 more sources
Automatic Solution of the Sturm-Liouville Problem
ACM Transactions on Mathematical Software, 1978Paul B. Bailey +2 more
openaire +2 more sources
Optimal control of a fractional Sturm–Liouville problem on a star graph
Optimization, 2021Gisèle Mophou, Günter Leugering
exaly
On a nonlocal Sturm–Liouville problem with composite fractional derivatives
Mathematical Methods in the Applied Sciences, 2021Jiangang Qi
exaly