夏治南
时间:2024-04-27 21:06 来源: 作者: 点击:次
个人简介 夏治南，男，理学博士，副教授，硕士生导师，美国数学会Mathematical Review 评论员，欧洲数学会Zentralblatt Math评论员。主要从事微分方程理论及其应用的研究，发表SCI论文30余篇, 主持国家自然科学基金天元基金1项, 国家自然科学基金青年基金1项，浙江省自然科学基金青年基金1项，浙江省自然科学基金一般项目1项。多次前往加拿大阿尔伯塔大学，日本京都大学，岛根大学，台湾国立中山大学等境内外高校进行学术交流，荣获第十届全国微分方程稳定性理论与应用学术会议优秀论文 教学与课程 主讲课程：高等数学，概率论与数理统计，非线性系统理论与应用，数学物理方程等本科生，研究生课程 科研项目 1. 主持浙江省自然科学基金青年基金：《Banach空间中微分方程的加权伪几乎自守性》 (No. LQ13A010015, 2013.1-2015.12)2. 主持国家自然科学基金数学天元基金：《泛函微分方程的加权伪几乎自守性》 (No. 11426201, 2015.1-2015.12)3. 主持国家自然科学基金青年基金：《测度伪几乎自守过程及其在随机泛函微分方程中的应用》 (No. 11501507, 2016.1-2018.12)4. 主持浙江省自然科学基金一般项目：《Kurzweil广义常微分方程适定性及周期性的研究》 (No. LY19A010013， 2019.1-2021.12) 科研成果 1. Meng Fan, Zhinan Xia, Huaiping Zhu*, Asymptotic stability of delay differential equations via fixed point theory and applications, Canadian Applied Mathematics Quarterly, 2010, 18 (4), 361-380.2. Zhinan Xia, Meng Fan*, A Massera type criterion for almost automorphy of nonautonomous boundary differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 2011, 73 , 1-133. Zhinan Xia, Meng Fan*, Weighted Stepanov-like pseudo almost automorphy and applications, Nonlinear Analysis: Theory, Methods & Applications, 2012, 75 , 2378-2397. 4. Zhinan Xia, Meng Fan*, Haiyan Wang, Weighted pseudo-almost automorphy of partial neutral functional differential equations with operator of nondense domain, Canadian Applied Mathematics Quarterly, 2012, 20 (4), 589-6075. Zhinan Xia*, Weighted pseudo almost automorphic solutions of hyperbolic semilinear integro-differential equations, Nonlinear Analysis: Theory, Methods & Applications, 2014, 95, 50-65.6. Zhinan Xia*, Asymptotically periodic solutions of semilinear fractional integro-differential equations, Advances in Difference Equations, 2014, 2014: 97. Zhinan Xia*, Weighted pseudo periodic solutions of neutral functional differential equations, Electronic Journal of Differential Equations, 2014 (2014), 1- 17. 8. Zhinan Xia*, Pseudo asymptotically periodic solutions for Volterra integro-differential equations, Mathematical Methods in the Applied Sciences, 2015, 38(5): 799-810. 9. Zhinan Xia*, Pseudo asymptotically periodic solutions of two-term time fractional differential equations with delay, Kodai Mathematical Journal, 2015, 38(2): 310-332.10. Zhinan Xia*, Weighted pseudo asymptotically periodic mild solutions of evolution equations, Acta Mathematica Sinica-English Series, 2015, 31(8): 1215-1232. 11. Zhinan Xia, Dingjiang Wang*, Piecewise weighted pseudo almost periodic solutions of impulsive integro-differential equations via fractional operators, Electronic Journal of Differential Equations, 2015 (2015), 1- 18. 12. 夏治南，王定江，一类传染病模型的加权伪几乎自守解, 生物数学学报，2015, 30 (2), 209-218. 13. Dingjiang Wang*, Zhinan Xia, Pseudo almost automorphic solution of semilinear fractional differential equations with the Caputo derivatives, Fractional Calculus and Applied Analysis, 2015, 18(4): 951-971. 14. Zhinan Xia*, Pseudo asymptotic behavior of mild solution for semilinear fractional integro-differential equations, Miskolc Mathematical Notes, 2015, 16(1): 553-563. 15. Zhinan Xia*, Pseudo almost automorphic in distribution solutions of semilinear stochastic integro-differential equations by measure theory, International Journal of Mathematics, 2015, 26 (13) 1550112-1---- 1550112-24 16. 夏治南，Volterra-Stieltjes型泛函积分方程解的存在性及渐近行为，数学物理学报，2016, 36(1), 130-143. 17. Zhinan Xia, Ching-Feng Wen, Dingjiang Wang*, Almost automorphic solutions of nonautonomous stochastic integro-differential equations in Hilbert spaces, Journal of Nonlinear and Convex Analysis, 2016, 17(4), 841-851. 18. Zhinan Xia, Dingjiang Wang*, Pseudo-almost periodic solution for impulsive hematopoiesis model with infinite delays and linear harvesting term, International Journal of Biomathematics, 9, 2016 (2016)：1-17. 19. Zhinan Xia*, Pseudo almost periodic mild solution of nonautonomous impulsive integro-differential equations, Mediterranean Journal of Mathematics, 13(3), 2016, 1065-1086. 20. Zhinan Xia*, Meng Fan, Ravi P Agarwal, Pseudo almost automorphy of semilinear fractional differential equations in Banach spaces, Fractional Calculus and Applied Analysis, 19(3), 2016, 741-764. 21. Zhinan Xia, Meng Fan*, Ravi P Agarwal, Almost automorphic dynamics of generalized Liénard equation, Journal of Applied Analysis and Computation, 7(1), 2017, 20-38. 22. Zhinan Xia*, Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces, Czechoslovak Mathematical Journal, 67(1), 2017, 123-141. 23. Zhinan Xia*, Dynamics of pseudo almost periodic solution for impulsive neoclassical growth model, Australia and New Zealand Industrial and Applied Mathematics, 58(3-4), 2017, 359-367. 24. Zhinan Xia, Dingjiang Wang*, Measure pseudo almost periodic mild solutions of stochastic functional differential equations with Lévy noise, Journal of Nonlinear and Convex Analysis, 18(5), 2017, 847-858. 25. Zhinan Xia, Almost automorphic solutions of semilinear stochastic hyperbolic differential equations in intermediate space, Kodai Mathematical Journal, 40(3), 2017, 492-517. 26. Zhinan Xia, Piecewise asymptotically almost periodic solution of neutral Volterra integro-differential equations with impulsive effects, Turkish Journal of Mathematics, 41(6), 2017, 1656-1672. 27. Zhinan Xia*, Dingjiang Wang, Ching-Feng Wen, Jen-Chih Yao, Pseudo asymptotically periodic mild solutions of semilinear functional integro-differential equations in Banach spaces, Mathematical Methods in the Applied Sciences, 40(18), 2017, 7333-7355. 28. Zhinan Xia, Zihui Li, Jinliang Chai*, Pseudo almost periodic dynamics of impulsive Nicholson's blowflies model with nonlinear density-dependent mortality term, Japan Journal of Industrial and Applied Mathematics, 35(1), 2018, 311-333. 29. Zhinan Xia, Zihui Li, Dingjiang Wang*, Measure pseudo affine-periodic solutions of semilinear differential equations, Mathematical Communications, 23(2), 2018, 259-277. 30. Zhinan Xia*, Dingjiang Wang, Asymptotic behavior of mild solutions for nonlinear fractional difference equations, Fractional Calculus and Applied Analysis, 21(2), 2018, 527-551. 31. Zhinan Xia*, Dingjiang Wang, Pseudo almost automorphic mild solution of nonautonomous stochastic functional integro-differential equations, Filomat, 32(4), 2018, 1233-1250. 32. Zhinan Xia*, Jinliang Chai, Pseudo almost automorphy of two-term fractional functional differential equations, Journal of Applied Analysis and Computation, 8(6), 2018, 1604-1644. 33. Zhinan Xia*, Pseudo asymptotically periodic solutions for Volterra difference equations of convolution type, Chinese Annals of Mathematics, Series B, 40(4), 2019, 501-514. 34. Zihui Li, Zhinan Xia*, Dingjiang Wang, Pseudo almost periodic dynamics of Nicholson's blowflies model with patch structure and discontinuous harvesting, Japan Journal of Industrial and Applied Mathematics, 36(3),2019,835-859. 35. Rui Xie*, Zhinan Xia, Junwei Liu, Space of quasi-periodic limit functions and its applications, Mathematics, 7(11), 2019, 1-21. 36. Bing Hu, Dingjiang Wang, Zhinan Xia, Aijun Yang, Jingsong Zhang, Qianqian Shi, Hao Dai, Regulation and control roles of the basal ganglia in the development of absence epileptiform activities, Cognitive Neurodynamics, 14, 2020,137-154. 37. Zhinan Xia*, Qianlian Wu, Dingjiang Wang, Stability in terms of two measures for population growth models with impulsive perturbations, International Journal of Biomathematics, 13(6), 2020, 2050051 (13 pages).38. 李子卉，夏治南*，王定江，一类具有无穷时滞的不连续 Lasota-Wazewska 模型及其伪概周期性，生物数学学报，35(1), 2020, 60-70. 39. 夏治南*，吴倩莲，王定江，一类无损传输线模型的测度伪Bloch型周期解，生物数学学报，36(1), 2021, 114-128. |