共查询到20条相似文献,搜索用时 15 毫秒
1.
Sin-Ei Takahasi Shizuo Miyajima 《Journal of Mathematical Analysis and Applications》2004,296(2):403-409
Let X be a complex Banach space, h a complex-valued continuous function on the real line and the linear differential operator defined by Thu=u′+hu. We completely determine the Hyers-Ulam stability constant of Th. 相似文献
2.
Sin-Ei Takahasi Takeshi Miura Hiroyuki Takagi 《Journal of Mathematical Analysis and Applications》2007,329(2):1191-1203
We give the solution of the functional equation f(x+y)+λf(x)f(y)=Φ(x,y) under some conditions. Also we show its Hyers-Ulam stability. 相似文献
3.
Takeshi Miura Shizuo Miyajima 《Journal of Mathematical Analysis and Applications》2003,286(1):136-146
Let X be a complex Banach space and a continuous function. Let be the linear differential operator defined by Thu=u′+hu. We give a necessary and sufficient condition in order that the operator Th has the Hyers-Ulam stability. 相似文献
4.
Chun-Gil Park Themistocles M. Rassias 《Journal of Mathematical Analysis and Applications》2006,322(1):371-381
Let X,Y be linear spaces. It is shown that if a mapping satisfies the following functional equation:
(0.1) 相似文献
5.
Dorian Popa 《Journal of Mathematical Analysis and Applications》2011,381(2):530-537
We obtain some results on generalized Hyers-Ulam stability of the linear differential equation in a Banach space. As a consequence we improve some known estimates of the difference between the perturbed and the exact solutions. 相似文献
6.
Kil-Woung Jun 《Journal of Mathematical Analysis and Applications》2004,299(1):100-112
The purpose of this paper is to solve the stability problem of Ulam for an approximate mapping of the following generalized Pappus' equation:
n2Q(x+my)+mnQ(x−ny)=(m+n)[nQ(x)+mQ(ny)] 相似文献
7.
Soon-Mo Jung 《Journal of Mathematical Analysis and Applications》2005,311(1):139-146
Let X be a complex Banach space and let I=(a,b) be an open interval. In this paper, we will prove the generalized Hyers-Ulam stability of the differential equation ty′(t)+αy(t)+βtrx0=0 for the class of continuously differentiable functions , where α, β and r are complex constants and x0 is an element of X. By applying this result, we also prove the Hyers-Ulam stability of the Euler differential equation of second order. 相似文献
8.
D. H. Hyers G. Isac Th. M. Rassias 《Proceedings of the American Mathematical Society》1998,126(2):425-430
The object of the present paper is to prove an asymptotic analogue of Th.M. Rassias' theorem obtained in 1978 for the Hyers-Ulam stability of mappings.
9.
Gian-Luigi Forti 《Journal of Mathematical Analysis and Applications》2004,295(1):127-133
In this short paper the core of the direct method for proving stability of functional equations is described in a clear way and in a quite general form. 相似文献
10.
ABSTRACTIn this paper, we investigate the existence and Hyers-Ulam stability for random impulsive stochastic functional differential equations with finite delays. Firstly, we prove the existence of mild solutions to the equations by using Krasnoselskii's fixed point. Then, we investigate the Hyers-Ulam stability results under the Lipschitz condition on a bounded and closed interval. Finally, an example is given to illustrate our results. 相似文献
11.
Yong-Zhuo Chen 《Transactions of the American Mathematical Society》2000,352(11):5279-5292
Let be a sequence of nonlinear operators. We discuss the asymptotic properties of their inhomogeneous iterates in metric spaces, then apply the results to the ordered Banach spaces through projective metrics. Theorems on path stability and nonlinear weak ergodicity are obtained in this paper.
12.
The aim of this article is to seek some adequate conditions via a prior estimate method (topological degree method) to derive the existence of solution to a nonlinear boundary value problem of fractional differential equations (FDEs). With the help of topological degree method which has been applied in many articles, we establish the required results for existence and uniqueness of solution to a class of FDEs. Moreover, we also formulate sufficient conditions for Hyers-Ulam stability to the solution of the considered problem. Finally, an appropriate example is provided to justify the relevant results. 相似文献
13.
Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator 下载免费PDF全文
Hasib Khan Cemil Tun Wen Chen Aziz Khan 《Journal of Applied Analysis & Computation》2018,8(4):1211-1226
In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with $p$-Laplacian operator. For these aims, we take help from topological degree theory and Leray Schauder-type fixed point theorem. An example is provided to illustrate the results. 相似文献
14.
Abbas Najati 《Journal of Mathematical Analysis and Applications》2008,340(1):569-574
In this paper, we prove the generalized Hyers-Ulam stability for the following quartic functional equation
f(2x+y)+f(2x−y)=4f(x+y)+4f(x−y)+24f(x)−6f(y). 相似文献
15.
Hark-Mahn Kim 《Proceedings Mathematical Sciences》2002,112(3):453-462
In this paper, we investigate the Hyers-Ulam stability problem for the difference equation f(x +p, y +q)- φ(x, y)f(x, y)- ψ(x, y)= 0.
An erratum to this article is available at . 相似文献
16.
Maria Karmanova 《Journal of Functional Analysis》2008,254(5):1410-1447
We study Lipschitz mappings defined on an Hn-rectifiable metric space with values in an arbitrary metric space. We find necessary and sufficient conditions on the image and the preimage of a mapping for the validity of the coarea formula. As a consequence, we prove the coarea formula for some classes of mappings with Hk-σ-finite image. We also obtain a metric analog of the Implicit Function Theorem. All these results are extended to large classes of mappings with values in a metric space, including Sobolev mappings and BV-mappings. 相似文献
17.
Dalia Sabina Cîmpean 《Applied mathematics and computation》2010,217(8):4141-4146
We obtain a result on stability of the linear differential equation of higher order with constant coefficients in Aoki-Rassias sense. As a consequence we obtain the Hyers-Ulam stability of the above mentioned equation. A connection with dynamical sytems perturbation is established. 相似文献
18.
In this paper, we establish a general solution and the generalized Hyers-Ulam-Rassias stability of the following general mixed
additive-cubic functional equation
f(kx + y) + f(kx - y) = kf(x + y) + kf(x - y) + 2f(kx) - 2kf(x)f(kx + y) + f(kx - y) = kf(x + y) + kf(x - y) + 2f(kx) - 2kf(x) 相似文献
19.
基于经典博弈模型的Nash均衡点集的通有稳定性和具有不确定参数的n人非合作博弈均衡点的概念,探讨了具有不确定参数博弈的均衡点集的通有稳定性.参照Nash均衡点集稳定性的统一模式,构造了不确定博弈的问题空间和解空间,并证明了问题空间是一个完备度量空间,解映射是上半连续的,且解集是紧集(即usco(upper semicontinuous and compact-valued)映射),得到不确定参数博弈模型的解集通有稳定性的相关结论. 相似文献
20.
Gwang Hui Kim 《Journal of Mathematical Analysis and Applications》2007,325(1):237-248
The aim of this paper is to study the stability problem of the d'Alembert type and Jensen type functional equations:
f(x+y)+f(x+σy)=2g(x)f(y), 相似文献
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