Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke.
Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke. (Short Communication).
Decomposition conditions for two-point boundary value problems.
Degenerate evolution problems and Beta-type operators
The present paper is concerned with the study of the differential operator Au(x):=α(x)u”(x)+β(x)u’(x) in the space C([0,1)] and of its adjoint Bv(x):=((αv)’(x)-β(x)v(x))’ in the space , where α(x):=x(1-x)/2 (0≤x≤1). A careful analysis of their main properties is carried out in view of some generation results available in [6, 12, 20] and [25]. In addition, we introduce and study two different kinds of Beta-type operators as a generalization of similar operators defined in [18]. Among the corresponding...
Determination of the diffusion operator on an interval
The inverse problem of spectral analysis for the diffusion operator with quasiperiodic boundary conditions is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solvability of the inverse problem are obtained.
Diagonalisation d'opérateurs non-autoadjoints et séparation des variables
Differential operators and rank bundles over elliptic curves
Differential operators of gradient type associated with spherical harmonics
Differentialoperatoren ganzer Funktionen.
Dirichlet-Neumann bracketing for boundary-value problems on graphs.
Discrete spectrum and principal functions of non-selfadjoint differential operator
In this article, we consider the operator defined by the differential expression in , where is a complex valued function. Discussing the spectrum, we prove that has a finite number of eigenvalues and spectral singularities, if the condition holds. Later we investigate the properties of the principal functions corresponding to the eigenvalues and the spectral singularities.
Disque générique et équations différentielles
Duality theory for linear -th order integro-differential operators with domain in determined by interface side conditions