Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems.
Asymptotique de solutions oscillantes d'équations différentielles
Asymptotique semi-classique pour la densité spectrale locale d'opérateurs de Schrödinger (d'après D. Robert et H. Tamura)
Asymptotische Eigenschaften der Differentialgleichung
Asymptotische Eigenschaften der Lösungen des Systems
Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung
Asymptotische Eigenschaften von Lösungen der Differentialgleichung im nichtoszillatorischen Fall
Asymptotische Entwicklungen der Lösungen der Differentialgleichung im nichtoszillatorischen Fall
Asymptotische Formeln für die Lösungen der linearen Differentialgleichungen dritter Ordnung
Asymptotische Formeln für die Lösungnen der Differentialgleichung
Asypmtotic formulas of eigenvalues and eigenfucntions on non-autonomous semilinear Sturm-Liouville problems.
At the Origins of Functional Analysis: G. Peano and M. Gramegna on Ordinary Differential Equations
In the context of the theory of infinite matrices and linear operators, two articles by Peano and by Gramegna on systems of linear differential equations have interesting implications for the reconstruction of research on functional analysis between 1887 and 1910. With the aim of evaluating their historical value, linked to logic and vector calculus, this paper provides a detailed analysis of their treatment, demonstrating the modernity of the analytic tools used. In this paper we also reveal the...
Attractors for nonautonomous multivalued evolution systems generated by time-dependent subdifferentials.
Attractors for non-autonomous retarded lattice dynamical systems
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.
Attractors of non-autonomous partial differential equations and their dimension
Attractors of systems under bounded perturbation
Aufspaltungen linearer gewöhnlicher Differentialoperatoren und der zugehörigen Greenschen Funktion.
Auszug aus einem Schreiben des Herrn L. Fuchs an C. W. Borchardt.
Automorphic realization of residual Galois representations
We show that it is possible in rather general situations to obtain a finite-dimensional modular representation of the Galois group of a number field as a constituent of one of the modular Galois representations attached to automorphic representations of a general linear group over , provided one works “potentially.” The proof is based on a close study of the monodromy of the Dwork family of Calabi–Yau hypersurfaces; this in turn makes use of properties of rigid local systems and the classification...
Averaging for ordinary differential equations perturbed by a small parameter
In this paper, we prove and discuss averaging results for ordinary differential equations perturbed by a small parameter. The conditions we assume on the right-hand sides of the equations under which our averaging results are stated are more general than those considered in the literature. Indeed, often it is assumed that the right-hand sides of the equations are uniformly bounded and a Lipschitz condition is imposed on them. Sometimes this last condition is relaxed to the uniform continuity in...