Grassmannian subvarieties arising in the spectral theory of ordinary differential operators.
Greensche Matrix und die Formel von Titchmarsh-Kodaira für singuläre S-hermitesche Eigenwertprobleme.
Hardy type inequalities for integral transforms associated with a singular second order differential operator.
Heat Equation Asymptotics for Singular Sturm-Liouville Operators.
Higher monotonicity properties of certain Sturm-Liouville functions
Hill's equation for a homogeneous tree.
Identification of a wave equation generated by a string
We show that we can reconstruct two coefficients of a wave equation by a single boundary measurement of the solution. The identification and reconstruction are based on Krein’s inverse spectral theory for the first coefficient and on the Gelfand−Levitan theory for the second. To do so we use spectral estimation to extract the first spectrum and then interpolation to map the second one. The control of the solution is also studied.
Implicit constitutive solution scheme for Mohr-Coulomb plasticity
This contribution summarizes an implicit constitutive solution scheme of the elastoplastic problem containing the Mohr-Coulomb yield criterion, a nonassociative flow rule, and a nonlinear isotropic hardening. The presented scheme builds upon the subdifferential formulation of the flow rule leading to several improvements. Mainly, it is possible to detect a position of the unknown stress tensor on the Mohr-Coulomb pyramid without blind guesswork. Further, a simplified construction of the consistent...
Including eigenvalues of the plane Orr-Sommerfeld problem
In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory originating from Donnelly [2] was applied to the plane Orr-Sommerfeld problem in the case of a pure Poiseuile flow. In this paper the same method will be used to deal Poiseuile and Couette flow. Potter [6] has treated this case before with an approximative method.
Inequalities among eigenvalues of second-order difference equations with general coupled boundary conditions.
Inequalities among eigenvalues of second-order symmetric equations on time scales.
Inequalities among eigenvalues of Sturm-Liouville problems.
Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary.
Inequalities for eigenvalue functionals.
Inequalities for the transformation operators and applications.
Initial boundary value problem for the mKdV equation on a finite interval
We analyse an initial-boundary value problem for the mKdV equation on a finite interval by expressing the solution in terms of the solution of an associated matrix Riemann-Hilbert problem in the complex -plane. This RH problem is determined by certain spectral functions which are defined in terms of the initial-boundary values at and . We show that the spectral functions satisfy an algebraic “global relation” which express the implicit relation between all boundary values in terms of spectral...
Initial-value methods for computing eigenvalues of two point boundary value problem
Integral representation of the solutions to Heun's biconfluent equation.
Integral Transforms and a Class of Singular S-Hermitian Eigenvalue Problems.
Integrated density of states of self-similar Sturm–Liouville operators and holomorphic dynamics in higher dimension