劉霞(廣東外語外貿大學數學與統計學院副教授)

劉霞(廣東外語外貿大學數學與統計學院副教授)

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劉霞,女,廣東外語外貿大學數學與統計學院五級副教授。

劉霞長期從事差分方程的理論和套用方面的研究工作,研究領域和方向:套用數學、差分方程。

基本介紹

  • 中文名:劉霞
  • 學位/學歷:研究生
  • 性別:女
  • 職稱:副教授
人物履歷,主要成就,科研項目,科技獎勵,學術論文,教授課程,所獲榮譽,

人物履歷

2006年,畢業於中南大學。曾任湖南農業大學套用數學副教授。
現任廣東外語外貿大學數學與統計學院五級副教授。

主要成就

科研項目

劉霞先後主持國家自科青年項目1項,主持省自科面上項目1項,主持教育廳項目1項和參加省部級以上科研項目多項。
國家自然青年科學基金項目:“非線性差分方程的最小周期解與邊值問題研究”。

科技獎勵

研究項目:基於微分方程與差分方程理論的三類生物數學模型動力學性質,獲2015-2016年湖南農業大學自然科學獎二等獎。

學術論文

劉霞先後在《J.Nonlinear Sci.Appl.》《J.Appl.Math.Comput》《J.NONLINEAR.SCI.APPL》《Mediterr.J.Math.》《Bull.Malays.Math》《Acta Math.Hungar.》等國內外著名學術刊物上發表學術論文40多篇,被SCI、EI索引40篇。
  • 1. Xia Liu,Tao Zhou, Haiping Shi, Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system, Open Mathematics,(17), 1392-1399, 2019.(SCI收錄)一類B
  • 2. Tao Zhou, Xia Liu,Haiping Shi, Wenliang Zong, Multiplicity results of breathers for discrete nonlinear Schrödinger equations, Electronic Journal of Differential Equations,2019(27), 1-12, 2019.(SCI收錄)一類B
  • 3. Xia Liu,Tao Zhou, Haiping Shi, Existence and multiple solutions to a discrete fourth order boundary value problem, Advances in Difference Equations,2018(427), 1-13, 2018.(SCI收錄)一類B
  • 4. Xia Liu,Tao Zhou, Haiping Shi, Boundary value problems of a discrete generalized beam equation via variational methods, Open Mathematics,(16), 1412-1422, 2018.(SCI收錄)一類B
  • 5. Xia Liu,Tao Zhou, Haiping Shi, Yuhua Long, Wenliang Zong, Periodic solutions with minimal period for fourth order nonlinear difference equations, Discrete Dynamics in Nature and Society,2018, 1-7, 2018. (SCI收錄)一類B
  • 6. Tao Zhou, Xia Liu,Haiping Shi, Existence of solutions to boundary value problems for a class of difference systems, International Journal of Nonlinear Sciences and Numerical Simulation,19(5), 531-537, 2018. (SCI收錄)一類B
  • 7. Xia Liu,Tao Zhou, Haiping Shi, Existence and nonexistence of solutions for fourth-order nonlinear difference boundary value problems via variational methods, Discrete Dynamics in Nature and Society,2018, 1-9, 2018.(SCI收錄)一類B
  • 8. Xia Liu,Tao Zhou, Haiping Shi, Existence of periodic solutions with prescribed minimal period for a fourth order nonlinear difference system, Journal of Applied Mathematics and Informatics,36(5-6), 491-504, 2018.(SCI收錄)一類B
  • 9. Xia Liu,Tao Zhou, Haiping Shi, Existence of solutions to boundary value problems for a fourth-order difference equation,Discrete Dynamics in Nature and Society,2018, 1-9, 2018.(SCI收錄)一類B
  • 10. Xia Liu,Tao Zhou, Haiping Shi. Existence of homoclinic orbits for a higher order difference system. Journal of Nonlinear Sciences and Applications, 10(4), 1842-1853, 2017.(SCI收錄)一類A
  • 11. Xia Liu, Yuanbiao Zhang, Haiping Shi, Xiaoqing Deng. Periodic and subharmonic solutions for fourth-order nonlinear difference equations. Applied Mathematics and Computation, 236(1), 613-620, 2014. (SCI收錄)
  • 12. Xia Liu,Yuanbiao Zhang, Haiping Shi, Xiaoqing Deng. Periodic solutions for fourth-order nonlinear functional difference equations. Mathematical Methods in the Applied Sciences, 38(1), 1-10, 2015. (SCI收錄)
  • 13. Xia Liu,Yuanbiao Zhang, Haiping Shi. Nonexistence and existence results for a class of fourth-order difference Dirichlet boundary value problems. Mathematical Methods in the Applied Sciences, Mathematical Methods in the Applied Sciences, 38(4), 691-700, 2015. (SCI收錄)14. Xia Liu, Yuanbiao Zhang, Haiping Shi. Nonexistence and existence results for a fourth-order p-Laplacian discrete mixed boundary value problem. Mediterranean Journal of Mathematics, 12(2), 419-432, 2015. (SCI收錄)
  • 15. Xia Liu, Yuanbiao Zhang, Haiping Shi, Nonexistence and existence results for a 2th-order discrete mixed boundary value problem, Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 109(2), 303-314, 2015. (SCI收錄)
  • 16. Xia Liu, Yuanbiao Zhang, Haiping Shi, Existence of periodic solutions for a class of nonlinear difference equations, Qualitative Theory of Dynamical Systems, 14(1), 51-69, 2015. (SCI收錄)
  • 17. Haiping Shi, Xia Liu, Yuanbiao Zhang, Xiaoqing Deng. Existence of periodic solutions of fourth-order nonlinear difference equations.Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 108(2), 811-825, 2014.(SCI收錄)
  • 18. Xia Liu,Tao Zhou, Haiping Shi. Multiplicity results of ground state solutions for the discrete nonlinear Schrodinger equations with unbounded potentials. Electronic Journal of Differential Equations, 2017(38), 1-9, 2017. (SCI收錄)
  • 19.Xia Liu,Tao Zhou, Haiping Shi. Existence of homoclinic orbits for a class of nonlinear functional difference equations. Electronic Journal of Differential Equations, 2016(315), 1-10, 2016. (SCI收錄)
  • 20. Xia Liu,Yuanbiao Zhang, Xiaoqing Deng. Nonexistence and existence results for a fourth-order p-Laplacian discrete Neumann boundary value problem. Bulletin of the Malaysian Mathematical Sciences Society, 39(1), 87-101, 2016. (SCI收錄)
  • 21. Xia Liu,Yuanbiao Zhang, Haiping Shi, Xiaoqing Deng. Existence of periodic solutions for a 2nth-order difference equation involving p-Laplacian. Bulletin of the Malaysian Mathematical Sciences Society, 38(3), 1107-1125, 2015. (SCI收錄)
  • 22. Xia Liu, Haiping Shi, Yuanbiao Zhang. On the nonexistence and existence of solutions for a fourth-order discrete Dirichlet boundary value problem. Quaestiones Mathematicae, 38(2), 203-216, 2015. (SCI收錄)
  • 23. Xia Liu, Yuanbiao Zhang, Haiping Shi. Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics, 44(2), 357-368, 2015. (SCI收錄)24. Xia Liu, Yuanbiao Zhang, Haiping Shi. Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics, 44(4), 855-866, 2015. (SCI收錄)
  • 25. Xia Liu, Yuanbiao Zhang, Haiping Shi. Nonexistence and existence results for a class of fourth-order difference Neumann boundary value problems. Indagationes Mathematicae-New Series, 26(1), 293-305,2015. (SCI收錄)
  • 26. Xia Liu, Yuanbiao Zhang, Haiping Shi, Homoclinic orbits of second order nonlinear functional difference equations with Jacobi operators, Indagationes Mathematicae-New Series, 26(1), 75-87,2015. (SCI收錄)27. Haiping Shi, Xia Liu, Yuanbiao Zhang. Homoclinic orbits of second-order nonlinear difference equation. Electronic Journal of Differential Equations, 2015(150), 1-16, 2015. (SCI收錄)
  • 28. Xia Liu, Yuanbiao Zhang, Haiping Shi. Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations. Electronic Journal of Differential Equations, 2014(2), 1-12, 2014. (SCI收錄)29. Xia Liu, Yuanbiao Zhang, Haiping Shi, Existence and nonexistence results for a fourth-order discrete Neumann boundary value problem, Studia Scientiarum Mathematicarum Hungarica, 51(2), 186-200, 2014. (SCI收錄)
  • 30. Xia Liu, Yuanbiao Zhang, Haiping Shi. Periodic and subharmonic solutions for 2nth-order p-Laplacian difference equations. Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 49(5), 223-231, 2014. (SCI收錄)
  • 31. Xia Liu, Haiping Shi, Yuanbiao Zhang. Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem. Proceedings of the Indian Academy of Sciences-Mathematical Sciences, 124(2), 179-191, 2014. (SCI收錄)
  • 32. Xia Liu, Yuanbiao Zhang, Haiping Shi. Existence and Nonexistence results for a 2n-th order p-Laplacian discrete Dirichlet boundary value problem. Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 49(6), 287-295, 2014. (SCI收錄)
  • 33. Haiping Shi, Xia Liu, Yuanbiao Zhang, Nonexistence and existence results for a 2nth-order discrete Dirichlet boundary value problem,Kodai Mathematical Journal, 37(2), 492-505, 2014. (SCI收錄)
  • 34. Xia Liu, Yuanbiao Zhang, Haiping Shi. Existence and multiple solutions for discrete Dirichlet boundary value problems via variational methods. University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 75(2), 47-56, 2013. (SCI收錄)
  • 35. Xia Liu, Haiping Shi, Yuanbiao Zhang. Existence of periodic solutions of second order nonlinear p-Laplacian difference equations. Acta Mathematica Hungarica, 133(1), 148-165, 2011. (SCI收錄)
  • 36. Xiaoqing Deng, Xia Liu, Haiping Shi, Tao Zhou. Homoclinic orbits for second order nonlinear p-Laplacian difference equations. Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 46(3), 17-28, 2011. (SCI收錄)37. Xia Liu, Yuanbiao Zhang, Bo Zheng, Haiping Shi. Periodic and subharmonic solutions for second order p-Laplacian difference equations. Proceedings of the Indian Academy of Sciences-Mathematical Sciences, 121(4), 457-468, 2011. (SCI收錄)
  • 38. Xia Liu, Haiping Shi, Yuanbiao Zhang. Existence of periodic solutions of second order nonlinear p-Laplacian difference equations. Acta Mathematica Hungarica, 133(1), 148-165, 2011. (SCI收錄)
  • 39. Xia Liu, Yuanbiao Zhang, Haiping Shi. Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations. Journal of Applied Mathematics and Computing, 42(1), 51-67, 2013. (EI收錄)
  • 40. Xia Liu, Yuanbiao Zhang, Haiping Shi. Homoclinic orbits and subharmonics for second order p-Laplacian difference equations. Journal of Applied Mathematics and Computing, 43(1-2), 467-478, 2013. (EI收錄)

教授課程

在廣東外語外貿大學數學與統計學院教授課程有《高等數學》《微積分》《機率論與數理統計》《線性代數》《數學分析》等。

所獲榮譽

1,2011年、2014年、2015年三年指導學生參加高教杯全國大學生數學建模競賽獲本科組國家二等獎
2、2010年指導大學生參加第二屆全國大學生數學競賽獲國家二等獎
3、2019年獲廣東外語外貿大學優秀科研業績三等獎
4、2020年被評為廣東外語外貿大學優秀共產黨員
5、2018年-2020年擔任廣外公開學院國商系與採購管理系的督導

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