# Search Results

###### Gabor frames on local fields of positive characteristic

.Wang, Necessary and sufficient conditions for expansions of Gabor type, Analysis in Theory and Applications, vol. 22, pp. 155-171, 2006. [9] X.L. Shi and F. Chen, Necessary conditions for Gabor frames, Science in China : Series A. vol. 50, no. 2, pp. 276-284, 2007. [10] D. Li, G. Wu and X. Zhang, Two sufficient conditions in frequency domain for Gabor frames, Applied Mathematics Letters, vol. 24, pp. 506-511, 2011. [11] K. Gröchenig, Foundation of Time-Frequency Analysis, Birkhäuser, Boston, 2001. [12] H

###### Bi-unique range sets with smallest cardinalities for the derivatives of meromorphic functions

the Nevanlinna characteristics of some meromorphic functions ”Theory of functions, functional analysis and their applications” Izd-vo Khar’kovsk, Un-ta 14 1971 83 87 [16] B. Yi and Y. H. Li, The uniqueness of meromorphic functions that share two sets with CM , Acta Math. Sinica Chinese Ser., 55(2) (2012), 363-368. Yi B. Li Y. H. The uniqueness of meromorphic functions that share two sets with CM Acta Math. Sinica Chinese Ser. 55 2 2012 363 368 [17] H. X. Yi, Uniqueness of meromorphic functions and a question of

###### Some results on uniqueness of meromorphic functions sharing a polynomial

References [1] T. C. Alzahary and H. X. Yi, Weighted value sharing and a question of I. Lahiri, Complex Var. Theory Appl., 49(2004), 1063-1078. [2] A. Banerjee, Uniqueness of meromorphic functions sharing two sets with finite weight, Portu- gal. Math. (N.S.) 65(2008), 81-93. [3] W. Bergweiler and A. Eremenko, On the singularities of the inverse to a meromorphic function of finite order, Rev. Mat. Iberoam, 11(1995), 355-373. [4] H. H. Chen and M. L. Fang, On the value distribution of fnf0, Sci. China Ser. A 38(1995), 789-798. [5] M. L. Fang and H. L

###### Existence of positive solutions of four-point BVPs for one-dimensional generalized Lane-Emden systems on whole line

*Supported by Natural Science Foundation of Guangdong province (No:7004569) and Natural Science Foundation of Hunan province, P.R.China(No:06JJ50008) References [1] R.P. Agarwal, Boundary value problems for higher order differential equations , World Scientific, Singapore, 1986. [2] C. Avramescu, C. Vladimirescu, Existence of Homoclinic solutions to a nonlinear second order ODE, Dynamics of continuous, discrete and impulsive systems , Ser. A, Math Anal. 15 (2008), 481-491. [3] C. Avramescu, C. Vladimirescu, Existence of solutions to

###### Generalization of value distribution and uniqueness of certain types of difference polynomials

References [1] A. Banerjee, Meromorphic functions sharing one value, Int. J. Math. Math. Sci., 22(2005), 3587-3598. [2] S. S. Bhoosnurmath and S. R. Kabbur, Value distribution and uniqueness theorems for difference of entire and meromorphic functions, Int. J. Anal. Appl., 2(2013), 124-136. [3] M. R. Chen and Z. X. Chen, Properties of difference polynomials of entire functions with Finite order, Chinese Ann. Math. Ser. A, 33(2012), 359-374. [4] Y. M. Chiang and S. J. Feng, On the Nevanlinna

###### The exterior Bitsadze-Lavrentjev problem for quaterelliptic-quaterhyperbolic equations in a doubly connected domain

-Rassias Equations with Nonsmooth Degenerate Line in Mixed Domains, Science in China, Series A: Mathematics, 51(1)(2008), 5-36. [22] G. C.Wen, The Tricomi and Frankl Problems for Generalized Chaplygin Equations in Multiply Connected Domains, Acta Math. Sin., 24(11), 1759-1774. [23] G. C. Wen, Oblique Derivative Problems for Generalized Rassias Equations of Mixed Type with Several Characteristic Boundaries, Electr. J. Diff. Equations, 2009(65)(2009), 1-16. [24] G. C. Wen, Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy [ Including Tricomi-Bers and

###### Schur-convexity of the Catalan–Qi function related to the Catalan numbers

ratio of gamma functions, J. Appl. Anal. Comput. 5 (2015), no. 4, 626-634; Available online at http://dx.doi.org/10.11948/2015049. [23] F. Qi, Q.-M. Luo, and B.-N. Guo, Complete monotonicity of a function involving the divided difference of digamma functions, Sci. China Math. 56 (2013), no. 11, 2315-2325; Available online at http://dx.doi.org/10.1007/s11425-012-4562-0. [24] F. Qi, M. Mahmoud, X.-T. Shi, and F.-F. Liu, Some properties of the Catalan-Qi function related to the Catalan numbers, SpringerPlus (2016), 5:1126, 20 pages

###### Novel orthogonal functions for solving differential equations of arbitrary order

fractional derivative and its applications, in: International Conference on Vibrating Engineering'98, Dalian, China, 1998, pp. 288-291. [9] E. Keshavarz, Y. Ordokhani, M. Razzaghi, A numerical solution for fractional optimal control problems via Bernoulli polynomials, J. Vibr. Contr., (2015) doi: 10.1177/1077546314567181. [10] S.A. Yousefi, A. Lotfi, M. Dehghan, The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems, J. Vibr. Contr., 17(13) (2011) 2059-2065. [11] M. Dehghan