LIBERTAS MATHEMATICA (new series)
http://system.lm-ns.org/index.php/lm-ns
This 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>American Romanian Academy of Arts and Sciencesen-USLIBERTAS MATHEMATICA (new series)0278-5307Cover pages v38n2
http://system.lm-ns.org/index.php/lm-ns/article/view/1425
.Vasile Staicu2018-12-252018-12-2538To Academician Constantin Corduneanu on the Occasion of his 90th Birthday
http://system.lm-ns.org/index.php/lm-ns/article/view/1427
.Vasile Staicu2018-12-242018-12-2438Almost periodic solutions in gross-substitute discrete dynamical systems
http://system.lm-ns.org/index.php/lm-ns/article/view/1401
We 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.Yoshihiro HamayaKaori Saito2018-07-072018-07-0738Multiplicity of positive solutions for nonlinear singular Neumann problems
http://system.lm-ns.org/index.php/lm-ns/article/view/1382
We 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.Sergiu AizicoviciNikolaos S. PapageorgiouVasile Staicu2018-06-242018-06-2438On a development of the comparison principle in the stability theory of motion
http://system.lm-ns.org/index.php/lm-ns/article/view/1410
In 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.Anatoliy MartynyukGani StamovIvanka Stamova2018-11-192018-11-1938The approximation of the square root of the total variation flow
http://system.lm-ns.org/index.php/lm-ns/article/view/1415
Here, it is discussed the approximation of square root of the total variation flow which is relevant in the image restoring method.Viorel Barbu2018-12-022018-12-0238Initial-boundary value problems for complex Ginzburg-Landau equations governed by p-Laplacian in general domains
http://system.lm-ns.org/index.php/lm-ns/article/view/1414
In 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.Mitsuharu OtaniTakanori Kuroda2018-09-302018-09-3038A note on admissible maps satisfying compactness conditions on countable sets
http://system.lm-ns.org/index.php/lm-ns/article/view/1412
We present a general Monch type xed point result for the multivalued admissible maps in the sense of Gorniewicz.Donal O'Regan2018-12-032018-12-0338S-asymptotically $\omega$-periodic mild solutions to some fractional integro-differential equations with infinite delay
http://system.lm-ns.org/index.php/lm-ns/article/view/1422
Under 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 $u:\mathbb{R}\to X$.Enock R. Oueama-GuengaiGaston M Guerekata2018-12-282018-12-2838Threshold Maximal Principles and Error Bound Proprieties
http://system.lm-ns.org/index.php/lm-ns/article/view/1420
Some 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.Mihai Turinici2018-12-152018-12-1538Topics in Functional Differential Equations
http://system.lm-ns.org/index.php/lm-ns/article/view/1403
In 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.Mehran Mahdavi2018-07-132018-07-1338Professor Constantin Corduneanu and the Ia\c{s}i School of Differential Equations
http://system.lm-ns.org/index.php/lm-ns/article/view/1408
..Gheorghe Morosanu2018-07-302018-07-3038The 90th Birthday of Professor Cosnstantin Corduneanu
http://system.lm-ns.org/index.php/lm-ns/article/view/1421
.Mehran Mahdavi2018-12-142018-12-1438