... Numerical Simulation of LargeScale Complex Systems, School of Mathematical Sciences, NanjingNormal University, Nanjing 210046,PR ChinaFull list of author information isavailable at the end of ... decay rate of the solution energy is exponential. Con-versely, for certain initial data in the unstable set, there are solutions with positiveinitial energy that blow up in finite time.This article ... T)with initial and Dirichlet boundary conditions. We prove that, under suitableassumptions on the functions g i , f i (i = 1, 2) and certain initial data in the stable set,the decay rate of...
... Cholamjiak and S. Suantai, A new hybrid algorithm for variational inclusions, generalizedequilibrium problems, and a finite family of quasi-nonexpansive mappings,” Fixed Point Theory andApplications, ... 199–215,2010.14 P. Kumam and C. Jaiboon, A new hybrid iterative method for mixed equilibrium problems andvariational inequality problem for relaxed cocoercive mappings with application to optimizationproblems,” ... 2008, Article ID 720371, 15 pages, 2008.26 S. Saeidi, “Iterative algorithms for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of families...
... Buhrii and R. A. Mashiyev, “Uniqueness of solutions o f the parabolic variational inequalitywith variable exponent of nonlinearity,” Nonlinear Analysis: Theory, Methods & Applications. In ... “Existence of solutions fora class of problems inRNinvolving the px-Laplacian,” in Contributions to Nonlinear Analysis. A Tribute to D. G. de Figueiredo on the Occasion of his70th Birthday, ... Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2008, Article ID 612938, 16 pagesdoi:10.1155/2008/612938Research ArticleExistence of Solutions fora Class of...
... Journal of Inequalities and ApplicationsThe study of differential equations and variational problems with variable exponentgrowth conditions is a new and interesting topic. Many results have ... 450002, China2 School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China3College of Mathematics and Information Science, Shaanxi Normal University, Xi’an,Shaanxi 710062, ... “Existence of positive solutions fora class of px-Laplacian systems,” Journal of Mathematical Analysis and Applications, vol. 333, no. 2, pp. 591–603, 2007.12 Q. Zhang, “Existence of radial...
... Yokohama, Japan, 2000.10 Ya. I. Alber, “Metric and generalized projection operators in Banach spaces: properties andapplications,” in Theory and Applications of Nonlinear Operators of Accretive ... Quasi-φ-Nonexpansive Mappings in a Banach SpaceHaiyun Zhou1and Xinghui Gao21Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China2College of Mathematics and Computer ... Mann’siteration algorithm, the so-called hybrid projection iteration method is such a modification.The hybrid projection iteration algorithm HPIA was introduced initially byHaugazeau 1 in 1968....
... provided the original work is properly cited.1. Introduction and preliminariesVariational inequalities introduced by Stampacchia [1] in the early sixties have had a greatimpact and influence in ... has played a significant part in several numerical methods for solving variational inequalities andcomplementarity; see [2, 4]. In particular, the solution of the v ariational inequalities canbe ... system of nonlin-ear relaxed cocoercive variational inequalities and studied the approximation solvability Meijuan Shang et al. 5Lemma 2.4. Assume that {a n} is a sequence of nonnegative real...
... Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2007, Article ID 87650, 8 pagesdoi:10.1155/2007/87650Research ArticleExtinction and Decay Estimates of Solutions ... Journal of Mathematical Analysis and Applications, vol. 228, no. 2, pp.483–494, 1998.[7] S. L. Chen, “The extinction behavior of the solutions fora class of reaction-diffusion equations,”Applied ... Nanjing University of Information Science and Technology,Nanjing 210044, ChinaEmail address: lwjboy@126.comMingxin Wang: Department of Mathematics, Southeast University, Nanjing 210096, ChinaEmail...
... nonlinear mixed quasivariational inclusions and i n-vestigated the sensitivity analysis of solutions for this system of generalized nonlinearmixed quasivariational inclusions in Hilbert spaces. ... (H,η)-accretive operators inBanach spaces,” to appear in Journal of Inequalities and Applications.[11] S. Adly, “Perturbed algorithms and sensitivity analysis fora general class of variational inclu-sions,” ... GorniewiczWe introduce and study a new system of variational inclusions with (H,η)-accretive op-erators, which contains variational inequalities, variational inclusions, systems of varia-tional...
... Hăolder continuity of solutions of equations and varia-tional inequalities with degenerate nonlinear elliptic high order operators,” in Problemi Attualidell’Analisi e della Fisica Matematica, pp. ... bonafedes@unipa.itF. Nicolosi: Dipartimento di Matematica e Informatica, Universit` a delgi Studi di Catania,Viale A. Doria 6, 95125 Catania, ItalyEmail address: fnicolosi@dmi.unict.it ... Bonafede: Dipartimento di Economia dei Sistemi Agro-Forestali, Universit` a delgi Studidi Palermo, Viale delle Scienze, 90128 Palermo, ItalyEmail address: bonafedes@unipa.itF. Nicolosi: Dipartimento...
... Journal of Inequalities and Applications[15] P. C. Bhakta and S. Mitra, “Some existence theorems for functional equations arising in dynamicprogramming,” Journal of Mathematical Analysis and Applications, ... theorems for compatible mappings withapplications to the solutions of functional equations arising in dynamic programmings,” Inter-national Journal of Mathematics and Mathematical Sciences, ... Chengdu,Sichuan 610064, ChinaEmail address: nanjinghuang@hotmail.comJen-Chih Yao: Department of Applied Mathematics, National Sun Yat-sen University,Kaohsiung 804, TaiwanEmail address: yaojc@math.nsysu.edu.tw...
... V. Azhmyakov, Stable Operators in Analysis and Optimization, Peter Lang, Berlin, 2005.[6] C. Baiocchi and A. Capelo, Variational and Quasivariational Inequalities. Applications to FreeBoundar ... Nonlinear Functional Analysis and Its Applications. III. Variational Methods and Opti-mization, Springer, New York, 1990.Vadim Azhmyakov: Fakultăat IVElektrotechnik und Informatik, Institut ... thetheory of linear and nonlinear stable operators in a systematic way and prove solvabilitytheorems for operator equations with differentiable expanding operators. In addition,some relations to the...
... describes the evolution ofa network of twoidentical neurons with excitatory interactions, which has found interesting applicationsin image processing of moving objects and has been investigated ... 941–950.Honghua Bin: Schoolof Sciences, Jimei University, Xiamen, Fujian 361021, ChinaE-mail address: binhonghua@163.comLihong Huang: College of Mathematics and Econometrics, Hunan University, Changsha,Hunan ... Changsha,Hunan 410082, ChinaE-mail address: lhhuang@hnu.net.cnGuang Zhang: Department of Mathematics, Qingdao Institute of Architecture and Engineering,Qingdao, Shandong 266033, ChinaE-mail address:...
... P. H. Rabinowitz, Minimax methods and their application to partial differential equations,Sem-inar on Nonlinear Partial Differential Equations (Berkeley, Calif, 1983), Math. Sci. Res. Inst.Publ., ... A class of superlinear p-Laplacian equations[19] , An application ofa mountain pass theorem, Acta Mathematica Sinica 18 (2002), no. 1,27–36.[20] W. Zou, Variant fountain theorems and their ... solutions fora superlinear elliptic equation,ActaMathematicaSinica 46 (2003), no. 4, 625–630 (Chinese).[10] K. Perera and M. Schechter, Se milinear elliptic equations having asymptotic limits at...
... 32000Haifa, IsraelE-mail address: sreich@tx.technion.ac.ilCurrent address: Department of Mathematics, University of California, Santa Barbara, CA 93106-3080, USAE-mail address: sreich@math.ucsb.eduAlexander ... sreich@math.ucsb.eduAlexander J. Zaslavski: Department of Mathematics, The Technion – Israel Institute of Technology,32000 Haifa, IsraelE-mail address: ajzasl@tx.technion.ac.il S. Reich and A. J. Zaslavski ... lim i ∞ A i x. Inequality (3.8) implies that for each x ∈ K,lim i ∞ A i x − xn≤1n. (3.9)Since n is again an arbitrary natural number, we conclude further that lim i ∞ A i x...