Výsledky vyhledávání - "Peano's theorem"

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Beyond Peano's theorem: a variational look at discontinuous ODE systems

Autor: Pedregal, Pablo

We propose a framework to define solutions of ODE systems under a novel condition that goes well beyond the usual continuity condition required in the classical theory of ODEs (Peano's or Picard's theorems). We illustrate our results with some simple

Externí odkaz: http://arxiv.org/abs/2411.04536

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Akademický článek

LINEABILITY AND SPACEABILITY FOR THE WEAK FORM OF PEANO'S THEOREM AND VECTOR-VALUED SEQUENCE SPACES

Autor: BARROSO, CLEON S., BOTELHO, GERALDO, FÁVARO, VINÍCIUS V., PELLEGRINO, DANIEL

Publikováno v: Proceedings of the American Mathematical Society, 2013 Jun 01. 141(6), 1913-1923.

Externí odkaz: https://www.jstor.org/stable/23562284

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Lineability and spaceability for the weak form of Peano's theorem and vector-valued sequence spaces

Autor: Barroso, Cleon, Botelho, Geraldo, Fávaro, Vinícius V., Pellegrino, Daniel

Publikováno v: Proceedings of the American Mathematical Society, v. 141, p. 1913-1923, 2013

Two new applications of a technique for spaceability are given in this paper. For the first time this technique is used in the investigation of the algebraic genericity property of the weak form of Peano's theorem on the existence of solutions of the

Externí odkaz: http://arxiv.org/abs/1105.2845

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An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces

Autor: Barroso, Cleon S., Rebouças, Michel P., Marrocos, Marcus A. M.

In this paper we establish some new results concerning the Cauchy-Peano problem in Banach spaces. Firstly, we prove that if a Banach space $E$ admits a fundamental biorthogonal system, then there exists a continuous vector field $f\colon E\to E$ such

Externí odkaz: http://arxiv.org/abs/1207.6777

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On Peano's theorem in Banach spaces

Autor: Hájek, Petr, Johanis, Michal

We show that if $X$ is an infinite-dimensional separable Banach space (or more generally a Banach space with an infinite-dimensional separable quotient) then there is a continuous mapping $f\colon X\to X$ such that the autonomous differential equatio

Externí odkaz: http://arxiv.org/abs/0911.4860

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