http://www.ara-as.org/index.php/lm-ns/issue/feedLIBERTAS MATHEMATICA (new series)2019-03-01T20:19:17+00:00LM-NS Secretariatsecretariat@lm-ns.orgOpen Journal SystemsThis is the submission and reviewing management system. For the journal information please see <a href="http://www.lm-ns.org">http://www.lm-ns.org</a>http://www.ara-as.org/index.php/lm-ns/article/view/1425Cover pages v38n22019-03-01T20:19:14+00:00Vasile Staicuvasile@ua.pt.2018-12-25T00:00:00+00:00http://www.ara-as.org/index.php/lm-ns/article/view/1427To Academician Constantin Corduneanu on the Occasion of his 90th Birthday2019-03-01T20:19:16+00:00Vasile Staicuvasile@ua.pt.2018-12-24T00:00:00+00:00http://www.ara-as.org/index.php/lm-ns/article/view/1401Almost periodic solutions in gross-substitute discrete dynamical systems2019-03-01T20:19:16+00:00Yoshihiro Hamayahamaya@mis.ous.ac.jpKaori Saitosaito_k@iwate-pu.ac.jpWe consider the existence of almost periodic solutions of a gross- substitute discrete system, which appear as tatonnement processes of mathematical economic models, by using uniformly stable and prop- erties of an almost periodic gross-substitute discrete system.2018-07-07T08:12:50+01:00http://www.ara-as.org/index.php/lm-ns/article/view/1382Multiplicity of positive solutions for nonlinear singular Neumann problems2019-03-01T20:19:16+00:00Sergiu Aizicoviciaizicovs@ohio.eduNikolaos S. Papageorgiounpapg@math.ntua.grVasile Staicuvasile@ua.ptWe consider a nonlinear Neumann problem driven by the p-Laplacian and a reaction which consists of a singular term plus a (p-1) - linear perturbation which is resonant at +∞ with respect to the principal eigenvalue. Using variational methods together with suitable truncation, comparison and approximation techniques, we show that the problem admits two positive smooth solutions.2018-06-24T22:31:22+01:00http://www.ara-as.org/index.php/lm-ns/article/view/1410On a development of the comparison principle in the stability theory of motion2019-03-01T20:19:16+00:00Anatoliy Martynyukcenter@inmech.kiev.uaGani Stamovgstamov@abv.bgIvanka Stamovaistamova@abv.bgIn this paper, conditions for different types of stability of the zero solution of a nonautonomous nonlinear comparison equation are established, and on this basis the corresponding stability results for the zero solution of the original system of differential equations are obtained. A development of the comparison principle, related to a generalized estimate of the total derivative of a Lyapunov-type auxiliary function with respect to the system under investigation is considered.2018-11-19T16:14:39+00:00http://www.ara-as.org/index.php/lm-ns/article/view/1415The approximation of the square root of the total variation flow2019-03-01T20:19:16+00:00Viorel Barbuvb41@uaic.roHere, it is discussed the approximation of square root of the total variation flow which is relevant in the image restoring method.2018-12-02T23:57:30+00:00http://www.ara-as.org/index.php/lm-ns/article/view/1414Initial-boundary value problems for complex Ginzburg-Landau equations governed by p-Laplacian in general domains2019-03-01T20:19:16+00:00Mitsuharu Otaniotani@waseda.jpTakanori Kurodaotani@waseda.jpIn this paper, complex Ginzburg-Landau (CGL) equations governed by p-Laplacian are studied. We discuss the global existence of solutions for the initial-boundary value problem of the equation in general domains. The global solvability of the initialboundary value problem for the case when p = 2 is already examined by several authors provided that parameters appearing in CGL equations satisfy a suitable condition. Our approach to CGL equations is based on the theory of parabolic equations with nonmonotone perturbations. By using this method together with some approximate procedure and a diagonal argument, the global solvability is shown without assuming any growth conditions on the nonlinear terms.2018-09-30T21:58:10+01:00http://www.ara-as.org/index.php/lm-ns/article/view/1412A note on admissible maps satisfying compactness conditions on countable sets2019-03-01T20:19:16+00:00Donal O'Regandonal.oregan@nuigalway.ieWe present a general Monch type xed point result for the multivalued admissible maps in the sense of Gorniewicz.2018-12-03T00:08:52+00:00http://www.ara-as.org/index.php/lm-ns/article/view/1422S-asymptotically $\omega$-periodic mild solutions to some fractional integro-differential equations with infinite delay2019-03-01T20:19:16+00:00Enock R. Oueama-Guengaioueama@yahoo.fruGaston M GuerekataGaston.N'Guerekata@morgan.eduUnder appropriate conditions and using the Krasnosel'skii's fixed point theorem, we prove that the semilinear fractional integro-differential equation in a Banach space $X$ $u'(t)=\frac{1}{\Gamma(\alpha-1)}\int_{0}^{t}(t-s)^{\alpha-2}Au(s)ds+F(t,u_t),\;\;t\geq 0,$ and $u_0=\phi$, possesses $S$-asymptotically $\omega$-periodic mild solutions where $1<\alpha<2$, $\phi \in \mathcal{B}$ an abstract space, $A:D(A)\subset X \to X$ a closed (not necessarily bounded) linear operator and $F:\mathbb{R}^+\times \mathcal{B}\to X$ a continuous function, $u_t: (-\infty,0]\to X$ with $u_t(\theta)=u(t+\theta)$ is an associated history function to the function $u:\mathbb{R}\to X$.2018-12-28T05:21:13+00:00http://www.ara-as.org/index.php/lm-ns/article/view/1420Threshold Maximal Principles and Error Bound Proprieties2019-03-01T20:19:16+00:00Mihai Turinicimturi@uaic.roSome threshold versions of the Brezis-Browder ordering principle [Adv. Math., 21 (1976), 355-364] are proposed. Further applications of these to error bound properties are then given.2018-12-15T11:24:51+00:00http://www.ara-as.org/index.php/lm-ns/article/view/1403Topics in Functional Differential Equations2019-03-01T20:19:16+00:00Mehran Mahdavimmahdavi@bowiestate.eduIn this paper, we provide a concise presentation of the book "Functional Differential Equations: Advances and Applications" by Constantin Corduneanu, Yizeng Li, and Mehran Mahdavi, a research monograph, published by Wiley, 2016. The book contains five chapters, an Appendix, and a bibliography which includes more than five hundred fifty references. In each chapter, except the first one, there is a section, bibliographical notes, in which numerous references and their relationships to our work are provided. The book presents only part of the results available in the literature, mainly mathematical ones, without any claim related to the coverage of the whole field of functional differential equations or functional equations. The book also includes many applications of the results.2018-07-13T08:01:07+01:00http://www.ara-as.org/index.php/lm-ns/article/view/1408Professor Constantin Corduneanu and the Ia\c{s}i School of Differential Equations2019-03-01T20:19:17+00:00Gheorghe Morosanumorosanu@math.ubbcluj.ro..2018-07-30T19:13:34+01:00http://www.ara-as.org/index.php/lm-ns/article/view/1421The 90th Birthday of Professor Cosnstantin Corduneanu2019-03-01T20:19:17+00:00Mehran Mahdavimmahdavi@bowiestate.edu.2018-12-14T01:24:52+00:00