Báo cáo hóa học: " Research Article On a Multiple Hilbert-Type Integral Inequality with the Symmetric Kernel" docx

... improves Pachpatte’s results on linear integral inequalities with two variables, and gives an estimation for a general form of nonlinear integral inequality with two variables. This paper does not ... equations and integral equations. There can be found a lot of its generalizations in various cases from literature see, e.g., 1–12.In11, Pachpatte obtained an estimation...

Ngày tải lên: 22/06/2014, 03:20

... Hardy-Hilbert’s inequality, ” Journal of Mathematical Analysis and Applications, vol. 272, no. 1, pp. 187–199, 2002. [6] B. Yang and M. Z. Gao, “An optimal constant in the Hardy-Hilbert inequality, ” ... Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2007, Article ID 27962, 17 pages doi:10.1155/2007/27962 Research Article On a Multiple Hilbert-...

Ngày tải lên: 22/06/2014, 18:20

... Applications, vol. 339, no. 1, pp. 324–331, 2008. 5 Z. Xie and Z. Zeng, A Hilbert-type integral inequality with a non-homogeneous form and a best constant factor,” Advances and Applications in Mathematical ... Xie, A new reverse Hilbert-type inequality with a best constant factor,” Journal of Mathematical Analysis and Applications, vol. 343, no. 2, pp. 1154–1160, 2008....

Ngày tải lên: 21/06/2014, 07:20

... Mathematical Analysis and Applications, vol. 226, no. 3, pp. 166–179, 1998. 8 B. G. Pachpatte, “Inequalities similar to certain extensions of Hilbert’s inequality, ” Journal of Mathematical Analysis ... constant factor as well as some particular examples are considered. 6 Journal of Inequalities and Applications Theorem 3.1. Let the assumptions of Theorem 2.2 be fulfilled, and additionall...

Ngày tải lên: 21/06/2014, 07:20

... degenerate elliptic equations,” Nonlinear Analysis: Theory, Methods & Applications, vol. 7, no. 8, pp. 827–850, 1983. 11 B. Ricceri, A general variational principle and some of its applications,” ... Netherlands, 1978. 3 C. O. Alves, F. J. S. A. Corr ˆ ea, and T. F. Ma, “Positive solutions for a quasilinear elliptic equation of Kirchhoff type,” Computers & Mathematics with Ap...

Ngày tải lên: 21/06/2014, 11:20

... 1984. 16 J. Bana ´ s and Z. Knap, “Measures of weak noncompactness and nonlinear integral equations of convolution type,” Journal of Mathematical Analysis and Applications, vol. 146, no. 2, ... pp. 3172–3179, 2009. 10 M. A. Taoudi, “Integrable solutions of a nonlinear functional integral equation on an unbounded interval,” Nonlinear Analysis. Theory, Methods & Applications, v...

Ngày tải lên: 21/06/2014, 17:20

... 1993. 2 P. Shi and M. Shillor, A quasistatic contact problem in thermoelasticity with a radiation condition for the temperature,” Journal of Mathematical Analysis and Applications, vol. 172, ... of a nonlinear parabolic integrodifferential 2 Boundary Value Problems equation with Bessel operator supplemented with a one point boundary condition and an initial condition. The pr...

Ngày tải lên: 21/06/2014, 22:20

... Yang, On the norm of a Hilbert’s type linear operator and applications,” Journal of Mathematical Analysis and Applications, vol. 325, no. 1, pp. 529–541, 2007. 12 B. Yang, On the norm of a ... J. E. Pe ˇ cari ´ c,andA.M.Fink,Inequalities Involving Functions and Their Integrals and Derivatives, vol. 53 of Mathematics and Its Applications (East European Series), Kluwer Academic Publ...

Ngày tải lên: 22/06/2014, 02:20

... many important inequalities which are particular cases of Jensen’s inequality among which are the weighted A − G − H inequality, Cauchy’s inequality, the Ky Fan and H ¨ older’s inequalities. One ... Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009, Article ID 153080, 6 pages doi:10.1155/2009/153080 Research Article On a Converse of Jensen...

Ngày tải lên: 22/06/2014, 03:20

... of Mathematical Analysis and Applications, vol. 326, no. 2, pp. 940–944, 2007. 6 X. Li, “Qualitative properties for a fourth-order rational difference equation,” Journal of Mathematical Analysis ... Mathematical Analysis and Applications, vol. 311, no. 1, pp. 103–111, 2005. 7 X. Li, “Global behavior for a fourth-order rational difference equation,” Journal of Mathematical Analysis and A...

Ngày tải lên: 22/06/2014, 11:20