Opuscula Mathematica
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ISSN 1232-9274
e-ISSN: 2300-6919
Issue Date
2014
Volume
Vol. 34
Number
No. 1
Description
Journal Volume
Opuscula Mathematica
Vol. 34 (2014)
Projects
Pages
Articles
Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations
(2014) Bohner, Martin; Grace, Said R.; Sultana, Nasrin
In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Existence and uniqueness of the solutions of some degenerate nonlinear elliptic equations
(2014) Cavalheiro, Albo Carlos
In this paper we are interested in the existence of solutions for the Dirichlet problem associated with degenerate nonlinear elliptic equations $\begin{split}&-\sum_{j=1}^n D_j{\bigl[}{\omega}(x) {\cal A}_j(x, u, {\nabla}u){\bigr]} + b(x, u, {\nabla}u)\,{\omega}(x) + g(x)\,u(x)=\\&= f_0(x) - \sum_{j=1}^nD_jf_j(x) \quad{\rm on}\quad {\Omega}\end{split}$
in the setting of the weighted Sobolev spaces ${\rm W}_0^{1,p}(\Omega, \omega)$.
p-adic Banach space operators and adelic Banach space operators
(2014) Cho, Ilwoo
In this paper, we study non-Archimedean Banach $∗$-algebras $\frak{M}_{p}$ over the $p$-adic number fields $\mathbb{Q}_{p}$, and $\frak{M}_{\mathbb{Q}}$ over the adele ring $\mathbb{A}_{\mathbb{Q}}$. We call elements of $\frak{M}_{p}$, $p$-adic operators, for all primes $p$, respectively, call those of $\frak{M}_{\mathbb{Q}}$, adelic operators. We characterize $\frak{M}_{\mathbb{Q}}$ in terms of $\frak{M}_{p}$’s. Based on such a structure theorem of $\frak{M}_{\mathbb{Q}}$, we introduce some interesting $p$-adic operators and adelic operators.
Approximating fixed points of a countable family of strict pseudocontractions in Banach spaces
(2014) Cholamjiak, Prasit
We prove the strong convergence of the modified Mann-type iterative scheme for a countable family of strict pseudocontractions in $q$-uniformly smooth Banach spaces. Our results mainly improve and extend the results announced in [Y. Yao, H. Zhou, Y.-C. Liou, Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings, J. Appl. Math. Comput. 29 (2009), 383–389].
Problem of detecting inclusions by topological optimization
(2014) Faye, Ibrahima; Ndiaye, Mariama; Ly, Idrissa; Seck, Diaraf
In this paper we propose a new method to detect inclusions. The proposed method is based on shape and topological optimization tools. In fact after presenting the problem, we use topological optimization tools to detect inclusions in the domain. Numerical results are presented.