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The main problem analyzed in this paper consists in showing that, under some conditions, every almost quartic mapping from a linear space to a random normed space under the Łukasiewicz t-norm can be suitably approximated by a quartic function, which is unique. 相似文献
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In this paper, we investigate the generalized Hyers–Ulam stability of a general cubic functional equation in Felbin’s type fuzzy normed linear spaces and some applications of our results in the stability of general cubic functional equation from a linear space to a Banach space will be exhibited. 相似文献
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Fridoun Moradlou Hamid Vaezi G. Zamani Eskandani 《Mediterranean Journal of Mathematics》2009,6(2):233-248
In this paper we establish the general solution of the functional equation
and investigate the Hyers–Ulam–Rassias stability of this equation in quasi-Banach spaces. The concept of Hyers–Ulam–Rassias
stability originated from Th. M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping
in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300.
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We consider a derivative nonlinear Schrödinger equation with a general nonlinearity. This equation has a two-parameter family of solitary wave solutions. We prove orbital stability/instability results that depend on the strength of the nonlinearity and, in some instances, on the velocity. We illustrate these results with numerical simulations. 相似文献
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In this paper, we investigate the Hyers-Ulam stability of the following function equation 2f(2x + y) + 2f(2x - y) = 4f(x + y) + 4f(x - y) + 4f(2x) + f(2y) - Sf(x) - 8f(y) in quasi-β-normed spaces. 相似文献
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Min Liu 《应用数学学报(英文版)》2014,30(4):931-942
In this paper, we prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problems, the set of fixed points of infinite family of quasi- C-asymptotically non-expansive mappings in a Banach space by using the CQ method. Our results improve the main results of Takahashi and Takahashi and Takahashi and Zembayashi. Moreover, the method of proof adopted in the paper is different from that of them. 相似文献
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We consider the Cauchy problem for the generalized Zakharov–Kuznetzov equation \(\partial _t u + \partial _x \Delta u = \partial _x ( u^{m+1} )\) on two or three space dimensions. We mainly study the two dimensional case and give the local well-posedness and the small data global well-posedness in the modulation space \(M_{2,1}(\mathbb {R}^2)\) for \(m \ge 4\). Moreover, for the quartic case (namely, \(m = 3\)), the local well-posedness in \( M_{2,1}^{1/4}(\mathbb {R}^2)\) is given. The well-posedness on three dimensions is also considered. 相似文献
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Xie Ping DING 《数学学报(英文版)》2007,23(10):1869-1880
In this paper, some new generalized R-KKM type theorems for generalized R-KKM mappings with finitely closed values and with finitely open values are established in noncompact topological spaces without any convexity structure under much weaker assumptions. As applications, some new minimax inequalities, saddle point theorem and equilibrium existence theorem for equilibrium problems with lower and upper bounds are established in general noncompact topological spaces. These theorems unify and generalize many known results in the literature. 相似文献
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We prove generalized Hyers-Ulam–Rassias stability of the cubic functional equation f(kx+y)+f(kx?y)=k[f(x+y)+f(x?y)]+2(k 3?k)f(x) for all \(k\in \Bbb{N}\) and the quartic functional equation f(kx+y)+f(kx?y)=k 2[f(x+y)+f(x?y)]+2k 2(k 2?1)f(x)?2(k 2?1)f(y) for all \(k\in \Bbb{N}\) in non-Archimedean normed spaces. 相似文献
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Xing Hui GAO Hai Yun ZHOU . College of Mathematics Computer Science Yan’an University Shaanxi P. R. China . Department of Basic Courses Shijiazhuang Mechanical Engineering College Hebei 《数学研究与评论》2011,31(5)
The purpose of this article is to propose a shrinking projection method and prove a strong convergence theorem for a family of quasi-φ-strict asymptotically pseudo-contractions. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property (K). The results of this paper improve and extend the results of Matsushita and Takahashi, Marino and Xu, Zhou and Gao and others. 相似文献
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Yu-Lin Zhou 《计算数学(英文版)》1993,11(2):188-192
The general interpolation formulas for discrete functional spaces of discrete functions with one index are presented in the note. These are the relationship among the discrete norms in the forms of the summation of powers, the maximum modulo, the Hölder and Lipschitz coefficients for the discrete functions. 相似文献
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《数学理论与应用》1983,(1)
For the theory of stability in functional differential equations, Liapunov-Razumikhin method may be the most important one. In § 1 of thin paper, we obtain some Liapunov-Razumikhin theorems for stability of functional differential equations by employing the function V used in the papers [3], [4]. In §2, some simple criteria of asymptotic stability for a class of nonlinear 相似文献
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Mathematical Notes - 相似文献
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Weighted Boundedness for Generalized Maximal andSingular Integral Operators in Orlicz-Morrey Spaces 总被引:1,自引:0,他引:1
51.IntroductionTheweightedboundednessformaximalandsingularintegraloperatorsonLp(p>1)andBMofunctionspacesarenowunderstood(see[lj)-AsMorreyspacemaybeconsideredasanextensionofthespaces,itisnaturalandimportanttostudytheweightedbou11dednessformax-imalandsingularintegraloperatorsonMorreyspaces.Thepurposeofthispaperistostu`lythequestion,theweightedboundednessfortheoperatorsinOrlicz-Morreyspacesareobtained,andthecharacterizationsfornon-weightedboundednessofmaximaloperatorarealsoobtained.Someworkint… 相似文献
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§1. IntroductionIn[1,2],AronsonandWeinbergerhavestudiedsystematiclythescalarnonlineardiffu-sionequationinonespacevariableut=uxx+φ(u),(1.1)whereu=u(x,t)andφ(u)isanonlinearfunction.Equation(1.1)arisesinseveralapplica-tions;See[1,2]and[3]forinformationa… 相似文献