CUBO, A Mathematical Journal
http://revistas.ufro.cl/index.php/cubo
<p align="justify">CUBO, A Mathematical Journal is a scientific journal founded in 1985, published by the Universidad de La Frontera, Temuco - Chile. The journal publishes original papers containing substantial results in areas of pure and applied mathematics. CUBO appears in three issues per year and is indexed in ZentralBlatt Math., Mathematical Reviews, MathSciNet and Latindex.</p>en-UScubo@ufrontera.cl (Mauricio Godoy Molina)jose.labrin@ufrontera.cl (José Alejandro Labrín)Sun, 01 Oct 2017 00:00:00 -0300OJS 3.0.2.0http://blogs.law.harvard.edu/tech/rss60 The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
http://revistas.ufro.cl/index.php/cubo/article/view/1625
<p>This paper deals with fractional optimal control for a class of semilinear stochastic equation in Hilbert space setting. To ensure the existence and uniqueness of mild solution, a set of sufficient conditions is constructed. The existence of fractional optimal control for semilinear stochastic system is also discussed. Finally, an example is included to show the applications of the developed theory.</p>Surendra Kumar
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http://revistas.ufro.cl/index.php/cubo/article/view/1625Sun, 01 Oct 2017 00:00:00 -0300 Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
http://revistas.ufro.cl/index.php/cubo/article/view/1626
<p>The nonlinear neutral functional differential equation with variable delay is investigated. By using Krasnoselskii’s fixed point theorem we obtain the existence and the asymptotic stability of periodic solutions. Sufficient conditions are established for the existence and the stability of the above equation. Our results extend some results obtained in the work [19].</p> <p><img src="/public/site/images/mgodoy/Imagen1_vol19_n3_art21.jpg" alt="" width="792" height="56"></p> <p> </p>Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi
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http://revistas.ufro.cl/index.php/cubo/article/view/1626Sun, 01 Oct 2017 00:00:00 -0300 On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative
http://revistas.ufro.cl/index.php/cubo/article/view/1627
<p>We study an initial value problem associated to a fractional integro-differential inclusion defined by Caputo-Katugampola derivative and by a set-valued map with nonconvex values. We prove the arcwise connectedness of the solution set and that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval.</p>Aurelian Cernea
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http://revistas.ufro.cl/index.php/cubo/article/view/1627Sun, 01 Oct 2017 00:00:00 -0300 Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents
http://revistas.ufro.cl/index.php/cubo/article/view/1628
<p>In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions for more general data depending on the solutions.</p>Aboudramane Guiro, Idrissa Ibrango, Stanislas Ouaro
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http://revistas.ufro.cl/index.php/cubo/article/view/1628Sun, 01 Oct 2017 00:00:00 -0300 Existence of solutions for discrete boundary value problems with second order dependence on parameters
http://revistas.ufro.cl/index.php/cubo/article/view/1630
<p>We prove the existence of non trivial solution for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a mountain pass lemma.</p>Aboudramane Guiro, Idrissa Ibrango
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http://revistas.ufro.cl/index.php/cubo/article/view/1630Sun, 01 Oct 2017 00:00:00 -0300 Totally Degenerate Extended Kleinian Groups
http://revistas.ufro.cl/index.php/cubo/article/view/1872
<p>The theoretical existence of totally degenerate Kleinian groups is originally due to Bers and Maskit. In fact, Maskit proved that for any co-compact non-triangle Fuchsian group acting on the hyperbolic plane ℍ<sup>2</sup> there is a totally degenerate Kleinian group algebraically isomorphic to it. In this paper, by making a subtle modification to Maskit’s construction, we show that for any non-Euclidean crystallographic group F, such that ℍ<sup>2</sup>/F is not homeomorphic to a pant, there exists an extended Kleinian group G which is algebraically isomorphic to F and whose orientation-preserving half is a totally degenerate Kleinian group. Moreover, such an isomorphism is provided by conjugation by an orientation-preserving homeomorphism ϕ : ℍ<sup>2</sup> → Ω, where Ω is the region of discontinuity of G. In particular, this also provides another proof to Miyachi’s existence of totally degenerate finitely generated Kleinian groups whose limit set contains arcs of Euclidean circles.</p>Rubén A. Hidalgo
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http://revistas.ufro.cl/index.php/cubo/article/view/1872Sun, 01 Oct 2017 00:00:00 -0300