A class of second-order evolution equations with double characteristics
A Differential Inequality for the Distance Function in Normed Linear Spaces.
A Dirichlet Type Result for Ordinary Differential Operators.
A Theorem On Fixed Points In Locally Convex Spaces
Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).
Almost periodicity of solutions of the equation with unbounded commuting operators
An adaptive continuation process for solving systems of nonlinear equations
An approximation property for abstract differential equations
An asymptotic result for weak differential inequalities
An Elementary Proof of the Baker-Campbell-Hausdorff-Dynkin Formula.
An extension theorem to rough paths
Application of Rothe's method to abstract parabolic equations
Application of Rothe's method to nonlinear evolution equations
Approximation von Eigenwertproblemen bei nichtlinearer Parameterabhängigkeit.
Banach spaces
Compactness in certain abstract function spaces with application to differential inclusions
In this note we present a result on compactness in certain Banach spaces of vector valued functions. We demonstrate an application of this result to the questions of existence of solutions of nonlinear differential inclusions on a Banach space.
Compactness of the inverse of the minimal operator for a class of ordinary differential expressions.
Condition nécessaire d'optimalité pour un système régi par des équations aux dérivés partielles non linéaires de type parabolique
Dérivées intermédiaires dans les espaces de Hilbert pondérés. Application au comportement à l’ des solutions des équations d’évolution
Differential equations in metric spaces
We give a meaning to derivative of a function , where is a complete metric space. This enables us to investigate differential equations in a metric space. One can prove in particular Gronwall’s Lemma, Peano and Picard Existence Theorems, Lyapunov Theorem or Nagumo Theorem in metric spaces. The main idea is to define the tangent space of . Let , be continuous at zero. Then by the definition and are in the same equivalence class if they are tangent at zero, that is if By we denote...