Geodesic
Convergence results for solutions of a first-order differential equation
Florescu, Liviu C.1
1 Faculty of Mathematics, ''Al. I. Cuza'' University, Carol I, 11, 700506, Iaşi, Romania
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 1, p. 18-28.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We consider the first order differential problem:
$ (P_n) \begin{cases} u'(t) = f_n(t, u(t)),\,\,\,\,\, \texttt{for almost every} \quad t \in [0, 1],\\ u(0) = 0. \end{cases} $
Under certain conditions on the functions $f_n$, the problem $(P_n)$ admits a unique solution $u_n \in W^{1;1}([0; 1];E)$. In this paper, we propose to study the limit behavior of sequences $(u_n)_{n\in \mathbb{N}}$ and $(u'_n)_{n\in \mathbb{N}}$, when the sequence $(f_n)_{n\in \mathbb{N}}$ is subject to different growing conditions.
DOI : 10.22436/jnsa.006.01.04
Classification : 28A20, 28A33, 46E30, 46N10
Keywords: Tight sets, Jordan finite-tight sets, Young measure, fiber product, Prohorov's theorem.

Florescu, Liviu C. 1

1 Faculty of Mathematics, ''Al. I. Cuza'' University, Carol I, 11, 700506, Iaşi, Romania 
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Florescu, Liviu C. Convergence results for solutions of a first-order differential equation. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 1, p. 18-28. doi : 10.22436/jnsa.006.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.01.04/

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