Báo cáo hoa học: " On the stability of a mixed type functional equation in generalized functions" ppt

... for the 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 ... H-M: On the stability of an n-dimensional quadratic and additive functional equation. Math. Inequal. Appl. 9, 153–165 (2006) [12] Kannappan, Pl, Sahoo, PK:...

Ngày tải lên: 21/06/2014, 20:20

... Hyers-Ulam-Rassias stability of a mixed type functional equation on multi-Banach spaces using fixed-point methods. 2. A Mixed Type Functional Equation In this section, we investigate the stability of ... Eshaghi-Gordji, S. Kaboli-Gharetapeh, M. S. Moslehian, and S. Zolfaghari, Stability of a mixed type additive, quadratic, cubic and quartic functiona...

Ngày tải lên: 21/06/2014, 18:20

... bi-additive mapping. It is natural that this equation is called a quadratic functional equation. In particular, every solution of the quadratic functional equation (1.1) is said to be a quadratic mapping. ... Rassias, 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...

Ngày tải lên: 21/06/2014, 01:20

... Hyers-Ulam stability of functional equation, Non-Archimedean space, Quadratic, Cauchy and Pexider functional equations 1.Introduction The stability problem for functional equations first was planed in ... Basel (1998) 8. Jung, SM: Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis. Hadronic Press, Palm Harbor (2001) 9. Rassias, TM: On the...

Ngày tải lên: 21/06/2014, 02:20

... 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 ... gradient phase lag dominates, show a strong attenuation of the neat heat flux. In this case, the behavior is dominated by parabolic terms of the heat transport eq...

Ngày tải lên: 21/06/2014, 04:20

... list of author information is available at the end of the article Abstract We investigate the existence of heteroclinic solutions to a class of nonlinear differential equations ( a ( x )  ( x  ( t )))  = ... different ial oper ators growing at most linearly at infinity. Theorem 2.3. Assume that there exists a pair of lower and upper solutions a, b Î C 1 (ℝ) of the...

Ngày tải lên: 20/06/2014, 22:20

... found. On the other hand regarding the test for optimality, the fact that the number of remaining zeros in the resulting matrix be larger than n (as it happens in most of the cases) also leads to an ... discarded, and the one-by-one comparison is made once again between the remaining values. An illustrative example detailing the incorporation of this strategy to...

Ngày tải lên: 21/06/2014, 00:20

... restricted domains,” The Australian J ournal of Mathematical Analysis and Applications, vol. 6, no. 1, pp. 1–10, 2009. 22 J. Brzde¸k, On stability of a family of functional equations,” Acta Mathematica ... Ulam, A Collection of Mathematical Problems, Interscience, New York, NY, USA, 1960. 2 D. H. Hyers, On the stability of the linear functional equation, ” P...

Ngày tải lên: 21/06/2014, 07:20

... general variational inequalities without monotonicity or coercivity assumptions. It relies on a Leray-Schauder degree approach and provides additional information about the location of solutions. 1. ... Springer-Verlag, Berlin, 1992. [8] D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Classics in Applied Mathematics, vol. 31, S...

Ngày tải lên: 23/06/2014, 00:20

... T. Aoki, On the stability of the linear transformation in Banach spaces,” Journal of the Mathematical Society of Japan, vol. 2, pp. 64–66, 1950. 5 Th. M. Rassias, On the stability of the linear ... Inequalities and Applications equations; therefore, they can also be called the hyperbolic cosine sine, trigonometric functional equation, exponential functional...

Ngày tải lên: 21/06/2014, 07:20