Báo cáo hóa học: "GENERALIZED ORTHOGONAL STABILITY OF SOME FUNCTIONAL EQUATIONS" pot

... Generalized orthogonal stability of some functional equations Then since f is bounded, g isboundedonsomeneighbourhoodofzero,sog has the form g(x) = a(x)+cx 2 , x ∈ R 2 , (2.51) for some continuous ... stability. In what follows, we want to join the idea of stability with the investigation of functional equations postulated for orthogonal vectors only. We will conside...

Ngày tải lên: 22/06/2014, 21:20

... stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, no. 4, pp. 222–224, 1941. [3] Th. M. Rassias, “On the stability ... the stability of functional equations in Banach spaces,” Journal of Mathe- matical Analysis and Applications, vol. 251, no. 1, pp. 264–284, 2000. [12] Th. M. Rassias,...

Ngày tải lên: 22/06/2014, 18:20

... Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis. Hadronic Press, Palm Harbor (2001) 9. Rassias, TM: On the stability of functional equations and a problem of Ulam. Acta ... MS, Sadeghi, GH: Stability of two types of cubic functional equations in non-Archimedean spaces. Real Anal Exch. 33, 375–384 (2008) 19. Moslehian, MS, Rassias, THM: Stab...

Ngày tải lên: 21/06/2014, 02:20

... J: Stability of functional equations in the spaces of distributions and hyperfunctions. J. Math. Anal. Appl. 286, 177–186 (2003) [16] Chung, J, Lee, S: Some functional equations in the spaces of ... The stability of Cauchy equations in the space of Schwartz distributions. J. Math. Anal. Appl. 295, 107–114 (2004) [18] Lee, Y-S: Stability of a quadratic functional equa...

Ngày tải lên: 21/06/2014, 20:20

... Proceedings of the National Academy of Sciences of the United States of America, vol. 27, pp. 222–224, 1941. 3 T. Aoki, “On the stability of the linear transformation in Banach spaces,” Journal of the ... the stability of an n-dimensional functional equation originating from quadratic forms,” Taiwanese Journal of Mathematics, vol. 12, no. 7, pp. 1609–1624, 2008. 15 C...

Ngày tải lên: 22/06/2014, 02:20

... equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, no. 4, pp. 222–224, 1941. 8 D. H. Hyers, G. Isac, and Th. M. Rassias, Stability of Functional Equations ... and S. Lee, Some functional equations in the spaces of generalized functions,” Aequationes Mathematicae, vol. 65, no. 3, pp. 267–279, 2003. 6 S Y. Chung, “Reformul...

Ngày tải lên: 22/06/2014, 02:20

... additive-quadratic-cubic-quartic functional equa- tion, Hyers-Ulam stability 1. Introduction The stability problem of functional equations originated from a question of Ulam [1] in 1940, concerning the stability of group ... generalized Hyers-Ulam stability of a class of functional equations. Publ Math Debrecen. 48, 217–235 (1996) 31. Jun, K, Kim, H: The generalized Hy...

Ngày tải lên: 21/06/2014, 01:20

... difference of the time delays t = t q -t T . These studies have pointed out that the usefulness of the Cattaneo-Vernotte and DPL exact models is limited. In this study, by means of the method of separation ... verified to be valid not only for the roots of Equation 7, but also for any value of y. Analysis of the results In this section, the time -dependent part of the tempera-...

Ngày tải lên: 21/06/2014, 04:20

... stability if the time delays are unbounded? Recently, Chen et al. 23, 24 proposed a new concept of μ -stability and established some sufficient conditions to guarantee the global μ -stability of ... fx ∗ . Obviously, the μ -stability analysis of the equilibrium point x ∗ of system 2.1 can be transformed to the μ -stability analysis of the trivial solution y  0ofsystem2...

Ngày tải lên: 21/06/2014, 05:20

... the stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, pp. 222–224, 1941. 3 T. Aoki, “On the stability of ... Moszner, “On the stability of functional equations,” Aequationes Mathematicae, vol. 77, no. 1-2, pp. 33–88, 2009. 18 B. Batko, Stability of an alternative functional e...

Ngày tải lên: 21/06/2014, 07:20