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主持国家自然科学基金一项，河北省自然科学基金一项，中央高校基本科研业务经费两项。 科研项目列表 1． 国家自然科学基金，Banach空间子集上非线性扰动等距的稳定性及应用， Grant No.12101234, 2022.01-2024.12,主持。 2． 河北省自然科学基金，Banach空间中非线性等距及相位等距映射的性质研究，Grant No.A2022502010,2022.01-2024.12，主持。 3． 中央高校基本科研业务费面上项目，Banach空间中联合可逼近集的性质研究， Grant No. 2019MS121，2019.01-2021.12，主持。 4． 中央高校基本科研业务费面上项目，Banach空间上扰动相位等距的稳定性及应用，Grant No. 2023MS164，2023.01-2024.12，主持。 论文列表： [1] Longfa Sun,Yinghua Sun, On extension of norm-additive maps between the positive unit spheres of $(\sum \ell_p)_{\ell_q}$, Results in Mathematics, 2024, accepted. [2] Longfa Sun, Yipeng Zhang, Yinghua Sun, Duanxu Dai, On extension of isometries between the positive spheres of c_0(г), Indian Journal of Pure and Applied Mathematics, 2024, https://doi.org/10.1007/s13226-024-00546-y. [3] Duanxu Dai, Haixin Que, Longfa Sun, Bentuo Zheng, On a universal inequality for approximate phase isometries, Acta Mathematica Scientia. Series B,2024,44(3):823-838. [4]Longfa Sun, Yinghua Sun, Duanxu Dai, On phase-isometries between the positive cones of c_0, Indian Journal of Pure and Applied Mathematics,2023,https://doi.org/ 10.1007/ s13226-023-00472-5. [5]Longfa Sun, Yinghua Sun, Yan Guo, Cuiling Wang, A note on the Turnsek theorem, Indian Journal of Pure and Applied Mathematics,2023,https://doi.org/ 10.1007/s13226-023 -00468-1. [6]孙龙发，张逸芃，孙英华， (∑l_p)_(c_0)正单位球面上范数可加映射的延拓，数学学报（中文版），2024，已接受。 [7]孙龙发，张逸芃，田景峰,有限维Banach空间之间的相位等距映射，数学学报（中文版），2023，已接受。 [8]田景峰， 毛忠旋，孙龙发，含参数Nabla积分比和变限含参数Nabla积分比的单调性法则及其应用，数学物理学报（中文版），2023，已接收。 [9]孙龙发，孙英华，
正锥之间范数可加映射的一个注记, 数学学报 (中文版), 66(6)2023:1221-1226. [10]孙龙发,
上ε-范数可加映射的Hyers-Ulam稳定性,数学学报(中文版), 67(1)(2024): 89-96. [11] Longfa Sun, Yinghua Sun, Shenghua Wang, On perturbed isometries between the positive cones of certain continuous function spaces, Results in Mathematics, 78(2023), No. 63. [12]Longfa Sun, Stability of ε-isometries and their symmetrizations on the positive cones of
, Aequationes Mathematicae, 97(2023): 355-375. [13]Longfa Sun, Yinghua Sun, Duanxu Dai, On phase-isometries between the positive cones of continuous function spaces, Annals of Functional Analysis, 14(2023), No.17. [14]Duanxu Dai, Jichao Zhang, Quanqing Fnag, Longfa Sun, Bentuo Zheng, A universal inequality for stability of coarse Lipschitz embeddings, Acta Mathematica Sinica-English Series, 9(2023): 1805-1816. [15] Longfa Sun, Yunbai Dong, More on stability of two functional equations, Ukrainian Mathematical Journal, 75(2023):984-995. [16] Longfa Sun，Hyers-Ulam stability of ε-isometries between the positive cones of
, Results in Mathematics,77(2022), https://doi.org/10.1007/s00025-021-01581-5. [17] Longfa Sun, Yuqi Sun, Wen Zhang, Zheming Zheng, On the sum of simultaneously proximinal sets, Hacettepe Journal of Mathematics & Statistics, 50(2021),668-677. [18] Longfa Sun, On non‑linear ε-isometries between the positive cones of certain continuous function spaces, Annals of Functional Analysis,12(2021), https://doi.org/10.1007/s43034-021-00141-w. [19] Longfa Sun, A note on stability of non-surjective ε-isometries between the positive cones of
-spaces, Indian Journal of Pure and Applied Mathematics, 52(2021), 1085-1092. [20] Longfa Sun, On the symmetrizations of ε-isometries on positive cones of continuous function spaces, Functional Analysis and Its Applications,55(2021),75-79. [21] Longfa Sun, A note on the stability of isometries on the positive cones of continuous function spaces, Indian Journal of Pure and Applied Mathematics, 52(2021),265-273. [22] Longfa Sun, Stability of symmetric ε-isometries on wedges. Indian Journal of Pure and Applied Mathematics, 52(2021), 11-21. [23] Longfa Sun，Hyers-Ulam stability of ε-isometries between the positive cones of
-spaces, Journal of Mathematical Analysis and Applications, 487(2020),124014. [24] Longfa Sun, Yanpeng Ma, Stability of ε-isometries on the positive cones of finite-dimensional Banach spaces, Bulletin of the Belgian Mathematical Society - Simon Stevin, 27(2020),789-800. [25] Lixin Cheng, Quanqing Fang, Mikio Kato, Longfa Sun, Classification ofε-isometries by stability, Pure and Applied Functional Analysis,5(2020),555-577. [26] Lixin Cheng， Longfa Sun，Stability characterizations of ε-isometries on certain Banach Spaces, Acta Mathematica Sinica-English Series,35(2019),123-134. [27] Lixin Cheng, Longfa Sun, On the Symmetrizations of ε-isometries on Banach Spaces, Functional Analysis and Its Applications,53(2019),74-77. [28] Lixin Cheng, Quanqing Fang, Sijie Luo, Longfa Sun,On non-surjective coarse isometries between Banach spaces, Quaestiones Mathematicae,42(2019),347-362. [29] Zhenghua Luo, Longfa Sun, Wen Zhang, A remark on the stability of approximative compactness, Journal of Function space,2016,1-5. [30] 罗正华，孙龙发，陈丽珍，子空间单位球的逼近紧性，数学学报（中文版），6（2015），1045-1052。 [31] 孙龙发，罗正华，强可逼近集的和，厦门大学学报（自然科学版），3（2013），312-315。 [32] 罗正华，孙龙发，弱紧集与可逼近集的和，厦门大学学报（自然科学版），2（2013），157-159。 |
