Báo cáo hóa học: " On the stability of the exact solutions of the dual-phase lagging model of heat conduction" docx

... the setting of random normed spaces Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean space, the theory of fixed point theory, the theory ... space, intuitionistic random normed space 1. Introduction The study of stability problems for functional equations is related to a question of Ulam [1] concerning th...

Ngày tải lên: 20/06/2014, 22:20

... Article Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure Jishan Fan 1 and Tohru Ozawa 2 1 Department of Applied Mathematics, Nanjing Forestry ... regularity of weak solutions of the time-dependent Navier-Stokes equation,” Proceedings of the Japan Academy, vol. 36, no. 5, pp. 273–277, 1960. 4 E. B. Fabes...

Ngày tải lên: 22/06/2014, 02:20

... to the different versions of A-harmonic equation. In the different versions of A-harmonic equation, the nonhomogeneous A-harmonic equation Ax, g  duh  d  v has received increasing attentions, ... for solutions to the A-harmonic equations; see 2–7. Those results are important for studying the theory of differential forms and both qualitative and quantitative properties...

Ngày tải lên: 21/06/2014, 20:20

... 46E40. Keywords: exponential functions, stability, Hilbert-valued function 1. Introduction The stability problem of functional equations goes back to a question of Ulam [1] con- cerning the stability of group ... cited. exponential equation as exponential function. A general solution of the exponential equation was introduced in [12]. In fact, a function f: ℝ ® ℂ is an expo...

Ngày tải lên: 20/06/2014, 22:20

... satisfies the functional equa- tion (1.4). 3. Stability of the quadratic equation (1.4) For r = 1, the stability problem of Equation (1.4) has been investigated by Cholewa [15]. For r = 2, the stability ... School of Education, Kyung Hee University, Yongin 446- 701, Republic of Korea Full list of author information is available at the end of the article Abstract...

Ngày tải lên: 20/06/2014, 22:20

... ThM: On the stability of functional equations and a problem of Ulam. Acta Math Appl. 62,23–130 (2000). doi:10.1023/A:1006499223572 11. Rassias, ThM: On the stability of functional equations in ... Rassias, JM: On the stability of the non-linear Euler-Lagrange functional equation in real normed linear spaces. J Math Phys Sci. 28, 231–235 (1994) 17. Rassias, JM: On...

Ngày tải lên: 21/06/2014, 01:20

... 2011:17 http://www.journalofinequalitiesandapplications.com/content/2011/1/17 Page 2 of 11 2. Hyers, DH: On the stability of the linear functional equation. Proc Nat Acad Sci USA. 27, 222–224 (1941). doi:10.1073/ pnas.27.4.222 3. Aoki, T: On the ... differ- ence. The paper of Rassias [4] has provided a lot of influences in the development of the Hyers-Ulam-Rassias...

Ngày tải lên: 21/06/2014, 02:20

... 5:329-359. doi:10.1186/1556-276X-6-327 Cite this article as: Ordonez-Miranda and Alvarado-Gil: On the stability of the exact solutions of the dual-phase lagging model of heat conduction. Nanoscale Research Letters 2011 ... example, in the case of one-dimensional heat conduction across a finite region 0 ≤x≤l, nine possi- ble combinations of the boundary co...

Ngày tải lên: 21/06/2014, 04:20

... 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 and ... 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 mi...

Ngày tải lên: 21/06/2014, 20:20

... community concerning the benefit of various types of physical therapies. Evolution of physical rehabilitation Historically, the management of stroke survivors involved bed-rest and convalescence, ... function when compared to no treat- ment or control [4]. Yet importantly, superiority of one type of therapy over another could not be distinguished, and therefore that the spec...

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