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 v41n1
http://system.lm-ns.org/index.php/lm-ns/article/view/1478
.Vasile Staicu2022-09-242022-09-2441A bound for global solutions of nonlinear heat equations with nonlinear boundary conditions
http://system.lm-ns.org/index.php/lm-ns/article/view/1465
In 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.Mitsuharu OtaniKosuke Kita2021-09-182021-09-1841Inexact infinite products of nonexpansive mappings with nonsummable errors
http://system.lm-ns.org/index.php/lm-ns/article/view/1460
Given 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.Simeon ReichAlexander J. Zaslavski2022-08-012022-08-0141On t-Balancers, t-Balancing Numbers and Lucas t-Balancing Numbers
http://system.lm-ns.org/index.php/lm-ns/article/view/1471
In 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 $t\geq 1.$}Ahmet TekcanSamet Aydin2022-10-092022-10-0941Fractional Differential Inclusions with Non Instantaneous Impulses and Multivalued Jump
http://system.lm-ns.org/index.php/lm-ns/article/view/1430
This 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.Mouffak BenchohraMehdi Slimane2020-04-072020-04-0741Noncommutative Perspectives of Operator Monotone Functions in Hilbert Spaces
http://system.lm-ns.org/index.php/lm-ns/article/view/1458
Assume 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.Silvestru Sever Dragomir2022-10-092022-10-0941Last pages v41n1
http://system.lm-ns.org/index.php/lm-ns/article/view/1479
.Vasile Staicu2022-10-092022-10-0941