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Subjects
34-XX Ordinary differential equations
34Gxx Differential equations in abstract spaces
34G99 None of the above, but in this section

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Displaying 1 – 20 of 128

A class of second-order evolution equations with double characteristics

Antonio Gilioli (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A Differential Inequality for the Distance Function in Normed Linear Spaces.

Ray Redheffer, Wolfgang Walter (1974)

Mathematische Annalen

A Dirichlet Type Result for Ordinary Differential Operators.

W.N. Everitt, M. Giertz (1973)

Mathematische Annalen

A Theorem On Fixed Points In Locally Convex Spaces

Olga Hadžić, Đura Paunić (1976)

Publications de l'Institut Mathématique

Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).

Nicholas Katz (1972)

Inventiones mathematicae

Almost periodicity of solutions of the equation $x^{'} (t) = A (t) x (t)$ with unbounded commuting operators

Vladimír Lovicar (1975)

Časopis pro pěstování matematiky

An adaptive continuation process for solving systems of nonlinear equations

Werner Rheinboldt (1978)

Banach Center Publications

An approximation property for abstract differential equations

M. A. Malik (1976)

Rendiconti del Seminario Matematico della Università di Padova

An asymptotic result for weak differential inequalities

S. Zaidman (1976)

Rendiconti del Seminario Matematico della Università di Padova

An Elementary Proof of the Baker-Campbell-Hausdorff-Dynkin Formula.

Dragomir Z. Djokovic (1975)

Mathematische Zeitschrift

An extension theorem to rough paths

Terry Lyons, Nicolas Victoir (2007)

Annales de l'I.H.P. Analyse non linéaire

Application of Rothe's method to abstract parabolic equations

Jindřich Nečas (1974)

Czechoslovak Mathematical Journal

Application of Rothe's method to nonlinear evolution equations

Jozef Kačur (1975)

Matematický časopis

Approximation von Eigenwertproblemen bei nichtlinearer Parameterabhängigkeit.

Hansgeorg Jeggle, Rolf D. Grigorieff (1973)

Manuscripta mathematica

Banach spaces

Laurent Gruson, Marius van der Put (1974)

Mémoires de la Société Mathématique de France

Compactness in certain abstract function spaces with application to differential inclusions

N. U. Ahmed (1995)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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.

Robert M. Kauffman (1972)

Journal für die reine und angewandte Mathematik

Condition nécessaire d'optimalité pour un système régi par des équations aux dérivés partielles non linéaires de type parabolique

Philippe Michel (1977)

Bulletin de la Société Mathématique de France

Dérivées intermédiaires dans les espaces de Hilbert pondérés. Application au comportement à l’ $\infty$ des solutions des équations d’évolution

Michel Artola (1970)

Rendiconti del Seminario Matematico della Università di Padova

Differential equations in metric spaces

Jacek Tabor (2002)

Mathematica Bohemica

We give a meaning to derivative of a function $u ℝ \to X$ , where $X$ 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 $𝒯_{x} X$ of $x \in X$ . Let $u, v [0, 1) \to X$ , $u (0) = v (0)$ be continuous at zero. Then by the definition $u$ and $v$ are in the same equivalence class if they are tangent at zero, that is if $lim_{h \to 0^{+}} \frac{d (u (h), v (h))}{h} = 0 .$ By $𝒯_{x} X$ we denote...

Currently displaying 1 – 20 of 128

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