Greensche Matrix und die Formel von Titchmarsh-Kodaira für singuläre S-hermitesche Eigenwertprobleme.
Heat Equation Asymptotics for Singular Sturm-Liouville Operators.
Higher monotonicity properties of certain Sturm-Liouville functions
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.
Introduction à la résurgence quantique
Inverse scattering for the one-dimensional Stark effect and application to the cylindrical KdV equation
La -fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur
Dans son livre [H. Stein, Ann. of Math. Studies, 63, Princeton Univ. Press, (1970)] E. Stein associe à tout opérateur de Sturm-Liouville la -fonction de Littlewood-Paley et conjecture que, pour tout dans l’intervalle , il existe deux constantes et telles que :On démontre ces inégalités pour une classe d’opérateurs différentiels singuliers sur et on énonce alors un résultat sur les multiplicateurs concernant ces opérateurs.
La matrice de Scattering pour l'opérateur de Schrödinger sur la droite réelle
Linksdefinite singuläre kanonische Eigenwertprobleme. I.
Linksdefinite singuläre kanonische Eigenwertprobleme. II.
Necessary and sufficient conditions for a system of eigenfunctions and associated functions of a Sturm-Liouville operator with discontinuous coefficients to possess the basis property.
New method for computation of discrete spectrum of radical Schrödinger operator
A new method for computation of eigenvalues of the radial Schrödinger operator is presented. The potential is assumed to behave as if and as if . The Schrödinger equation is transformed to a non-linear differential equation of the first order for a function . It is shown that the eigenvalues are the discontinuity points of the function . Moreover, it is shown how to obtain an arbitrarily accurate approximation of eigenvalues. The method seems to be much more economical in comparison...
Nichtselbstadjungierte Differentialoperatoren im nichtkompakten Fall.
Nicht-S-hermitesche Rand- und Eigenwertprobleme.
Nodes of eigenfunctions of a certain class of ordinary differential equations of the fourth order
Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions.
Nonlinear Extensions of Limit-Point Criteria.
Nonlinear functional Sturm-Liouville equations