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My research interests are in applied mathematics, more specifically, in differential/difference equations and their applications which include

  • Nonlinear boundary value problems        
  • Functional differential equations              
  • Numerical solutions of differential equations         
  • Stochastic differential equations         

Selected Publications

  • Existence and uniqueness of solutions for a fractional boundary value problem on a graph,  Fract. Calc. Appl. Anal. 17 (2014), 499--510.  (with J. R. Graef and L. Kong)

  • Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition, Electron. J. Qual. Theory Differ. Equ. 2013 (2013), No. 55, 1--11. (with J. R. Graef, L. Kong, and Q. Kong)

  • Fractional boundary value problems with integral boundary conditions, Appl. Anal. 92 (2013), 2008--2020. (with J. R. Graef, L. Kong, and Q. Kong)

  • Uniqueness and parameter dependence of positive solutions of a discrete fourth order problem, J. Difference Equ. Appl. 19 (2013), 1133--1146. (with J. R. Graef, L. Kong, and B. Yang)

  • Oscillation criteria for second order differential equations with deviating arguments, Commun. Appl. Anal. 16 (2012), 459--470. (with Q. Kong)

  • Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions, Fract. Calc. Appl. Anal. 15 (2012), 509--528. (with J. R. Graef, L. Kong, and Q. Kong)

  • Dependence of the unique solution of a periodic boundary value problem on the parameter, Appl. Math. Comput. 217 (2011), 7838--7844. (with H. Bellout and Q. Kong)

  • Positive solutions of even order system periodic boundary value problems, Nonlinear Anal. 72 (2010) 1778--1791. (with Q. Kong)

  • Global asymptotic robust stability of static neural network models with S-type distributed delays, Math. Comput. Modelling 44 (2006), 218--222. (with L. Wang)

By March 2014, I have published 26 research papers. Here is a complete list of my publications on Google Scholar.

 

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