Báo cáo hóa học: " On the stability of an AQCQ-functional equation in random normed spaces" potx

... Î V 1 . Now, first by putting y = 0 in Equation 3.7 and applying Equation 3.2 and second by putting x = 0 in Equation 3.7 and applying Equation 3.2 once again, we obtain   F e 1 (x)+F e 2 (x) ... of the Equation 2.5 which satisfies Equation 2.6. Then, by replacing x, y with x + σ (x) 2 in Equation 2.5, we obtain the following identi- ties: for any solution g : V 1...

Ngày tải lên: 21/06/2014, 02:20

... JM: On the stability of the Euler-Lagrange functional equation. Chin J Math. 20, 185–190 (1992) 16. Rassias, JM: On the stability of the non-linear Euler-Lagrange functional equation in real normed ... et al.: On the stability of an AQCQ-functional equation in random normed spaces. Journal of Inequalities and Applications 2011 2011:34. Park et...

Ngày tải lên: 21/06/2014, 01:20

... This can be avoided by solving Equation 5c using the Laplace transform method. After taking the Laplace transform of Equation 5c, and using Equation1 1,itisobtainedthatintheLaplacedomain, the function ... from the Boltzmann transport equation under the relaxation time approximation [6]. Conclusions By combining the methods of separation of variables and the Laplace...

Ngày tải lên: 21/06/2014, 04:20

... spaces of generalized functions. Using the fundamental solution of the heat equation, we solve the general solution and prove the Hyers– Ulam stability of this equation in the spaces of tempered ... distributions have one. Imposing the growth condition on  ·  α,β in (2.1) a new space of test functions has emerged as follows. On the stability of a mix...

Ngày tải lên: 21/06/2014, 20:20

... Journal of Inequalities and Applications 4. Stability in ᏿  (R n ) and Ᏺ  (R n ) We are going to prove the stability theorem of the cubic functional equation in the spaces of ᏿  (R n )andᏲ  (R n ). We ... and S Y. Chung 5 In this section, we consider the general solution of the cubic functional equation in the spaces of ᏿  (R n )andᏲ  (R n ). It is...

Ngày tải lên: 22/06/2014, 18:20

... tested in freely moving animals or in human implants. An interesting aspect is that the analyses were per- formed on integral datasets, with training on first half and testing on second half of data, ... classification system for ENG signals. Training is performed on the first and testing on the sec- ond half of the data. (A) Training procedure consisting of: Fil...

Ngày tải lên: 19/06/2014, 08:20

... varying percentage of the popu- lation is vitamin D deficient, at any time, during any season, at any latitude, although the percentage is higher in the winter, in the aged, in the obese, in the ... human experimental studies published in the English-language literature delineating person-to-person transmission of influenza. This stands in contrast to sev- eral e...

Ngày tải lên: 20/06/2014, 01:20

... minimization method to establish some existence results o f solutions of (1.1). The idea of the proof is to transfer the problem of the existence of solutions for (1.1) into the problem of the ... differential equations and numeri- cal analysis. On the other hand, they are strongly motivated by their applicability in mathematical physics as mentioned above. In [2...

Ngày tải lên: 20/06/2014, 22:20

... behavior of a three-dimensional linear fractional system of difference equations. J Math Anal Appl. 310, 673–689 (2005) 8. Özban, AY: On the positive solutions of the system of rational difference equations x n+1 = 1 y n−k , y n+1 = y n x n−m y n−m−k . . ... EM: On the solutions of a class of difference equations systems. Demonstratio Mathematica. 41(1), :109–122 (2008)...

Ngày tải lên: 20/06/2014, 22:20

... assumed in [11] (see condi- tion (8)). But, on the other hand, taking g > 1 one can lose the summability of the function K C required in assumption (7) of [11]. In fact , in the following example ... -1and,definedK C and h C as in the proof of Theorem 3.1, conditions (2.22) and (2.23) hold true . Notice that they are the rewriting of conditions (2.8) and (2....

Ngày tải lên: 20/06/2014, 22:20