劉霞(廣東外語外貿大學數學與統計學院副教授)

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）

劉霞(廣東外語外貿大學數學與統計學院副教授)

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人物履歷

主要成就

科研項目

科技獎勵

學術論文

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