http://system.lm-ns.org/index.php/lm-ns/issue/feedLIBERTAS MATHEMATICA (new series)2022-10-14T22:34:06+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://system.lm-ns.org/index.php/lm-ns/article/view/1478Cover pages v41n12022-10-14T22:34:05+00:00Vasile Staicuvasile@ua.pt.2022-09-24T22:26:16+00:00http://system.lm-ns.org/index.php/lm-ns/article/view/1465A bound for global solutions of nonlinear heat equations with nonlinear boundary conditions2022-10-14T22:34:06+00:00Mitsuharu Otaniotani@waseda.jpKosuke Kitakou5619@asagi.waseda.jpIn this paper, we consider the initial-boundary value problem for nonlinear heat equations with nonlinear boundary conditions of the radiation type. The local well-posedness of this problem is shown by applying an abstract theory for the evolution equation governed by sub- differential operators. Moreover, a result on the uniform boundedness for time global solutions is obtained.2021-09-18T00:00:00+00:00http://system.lm-ns.org/index.php/lm-ns/article/view/1460Inexact infinite products of nonexpansive mappings with nonsummable errors2022-10-14T22:34:06+00:00Simeon Reichsreich@tx.technion.ac.ilAlexander J. Zaslavskiajzasl@technion.ac.ilGiven a sequence of nonexpansive mappings which map a closed subset of a complete metric space into the space, we study the convergence of its inexact innite products to its common xed point set in the case where the errors are nonsummable. Previous results in this direction concerned nonexpansive self-mappings of a complete metric space and inexact iterates with summable errors.2022-08-01T00:00:00+00:00http://system.lm-ns.org/index.php/lm-ns/article/view/1471On t-Balancers, t-Balancing Numbers and Lucas t-Balancing Numbers2022-10-14T22:34:06+00:00Ahmet Tekcantekcan@uludag.edu.trSamet Aydinsmtaydin.1996@gmail.comIn this work, we determined the general terms of $t-$balancers, $t-$balancing numbers and Lucas $t-$balancing numbers by solving the Pell equation $2x^{2}-y^{2}=2t^{2}+4t+1$ for some integer $t\geq 1.$}2022-10-09T08:05:17+00:00http://system.lm-ns.org/index.php/lm-ns/article/view/1430Fractional Differential Inclusions with Non Instantaneous Impulses and Multivalued Jump2022-10-14T22:34:06+00:00Mouffak Benchohrabenchohra@yahoo.comMehdi Slimanem1sliml@yahoo.comThis paper is devoted to study the existence of solutions for a class of fractional differential inclusions with non instantaneous impulses and multivalued jump involving the Caputo fractional derivative in a Banach space. The arguments are based upon M\"{o}nch's fixed point theorem and the technique of measures of noncompactness.2020-04-07T12:45:09+00:00http://system.lm-ns.org/index.php/lm-ns/article/view/1458Noncommutative Perspectives of Operator Monotone Functions in Hilbert Spaces2022-10-14T22:34:06+00:00Silvestru Sever Dragomirsever.dragomir@vu.edu.auAssume that the function f:[0,∞)→R is operator monotone in [0,∞) and has the representation f(t)=f(0)+bt+∫₀^{∞}((tλ)/(t+λ))dw(λ), where b≥0 and w is a positive measure on (0,∞). In this paper we obtained among others that P_{f}(B,P)-P_{f}(A,P) =b(B-A)+∫₀^{∞}λ²[∫₀¹P((1-t)A+tB+λP)⁻¹(B-A)┊ ┊×((1-t)A+tB+λP)⁻¹Pdt]dw(λ) for all A, B, P>0. Applications for weighted operator geometric mean and relative operator entropy are also provided.2022-10-09T14:09:28+00:00http://system.lm-ns.org/index.php/lm-ns/article/view/1479Last pages v41n12022-10-14T22:34:06+00:00Vasile Staicuvasile@ua.pt.2022-10-09T14:55:37+00:00