李永祥，甘肅秦安人，生于1963年，1984年本科畢業于77779193永利數學系，1988于四川大學獲碩士學位，2004于蘭州大學獲博士學位。現為77779193永利二級教授，博士生導師，甘肅省數學會副理事長，美國《Math. Reviews》評論員，歐洲《Zentralblatt Math.》評論員，主要從事非線性泛函分析與非線性微分方程的研究，發表學術論文180餘篇，其中SCI刊物論文100餘篇。先後主持4項國家自然科學基金項目及4項甘肅省自然科學基金項目的研究。主持完成的科研成果獲甘肅省自然科學獎二等獎2次，甘肅省高校科技進獎4次，1997年獲甘肅省高校青年教師成才獎，2005年入選甘肅省“555”創新人才工程，2008年被評為77779193永利教學名師，2010年入選甘肅省領軍人才，曾任77779193永利數學與信息科學學院副院長、77779193永利副院長、院長等職務。
主持的省部級以上的科研項目
[1] 彈性梁振動方程的穩定性及相關問題研究, 國家自然科學基金項目(12061062), 2021.01-2024.12.
[2] 幾類完全形式的非線性邊值問題解的存在性及多重性, 國家自然科學基金項目(11661071), 2017.01-2020.12.
[3] 抽象時滞發展方程周期解的存在性及漸近性态, 國家自然科學基金項目(11261053), 2013.01-2016.12.
[4] 幾類非自伴微分方程周期解的存在性及漸近性态, 國家自然科學基金項目(10871160), 2009.01-2011.12.
[5] Banach空間脈沖發展方程的整體解與周期解, 甘肅省自然科學基金資助項目(1208RJZA129), 2013.01-2015.12.
[6] 抽象發展方程周期解的存在性及漸近性态, 甘肅省自然科學基金項目(0710RJZA103), 2008.01-2010.12.
[7] 某些非自伴微分方程的周期解, 甘肅省自然科學基金項目(ZS031-A25-003-Z), 2004.01-2006.12.
[8] Banach空間半線性發展方程的整體解與周期解, 甘肅省自然科學基金項目(ZS991-A25-007-Z), 1999.01-2001.12.
科研獲獎
[1] 李永祥, 陳鵬玉等. 抽象半線性發展方程的可解性,甘肅省自然科學獎二等獎, 2017-2-003-R1, 2018年.
[2] 李永祥, 伏升茂等. 某些非自伴微分方程的周期解, 甘肅省自然科學獎二等獎, 2009-Z2-003-R1，2010年.
[3] 李永祥, 楊和等. 某些非線性微分方程的周期解及相關問題研究,甘肅省高等學校科技進步一等獎, 2012年.
[4] 李永祥, 伏升茂等. 幾類非線性微分方程的可解性研究, 甘肅省高等學校科技進步獎二等獎, 2008年.
[5] 李永祥, 伏升茂. 幾類非線性邊值問題解的存在性,甘肅省高等學校科技進步獎二等獎, 2006年.
[6] 李永祥, 葉國菊等. 幾類微分方程解的存在性及非絕對積分研究, 甘肅省高等學校科技進步獎三等獎, 2004年.
代表性學術論文
[1] Yongxiang Li, Positive radial solutions for elliptic equations with nonlinear gradient terms on the unit ball, Mediterranean Journal of Mathematics, 2020, 17(6): No. 176.
[2] Yongxiang Li, Yabing Gao. Existence and uniqueness results for the bending elastic beam equations, Applied Mathematics Letters, 2019, 95: 72-77.
[3] Yongxiang Li. Positive radial solutions for elliptic equations with nonlinear gradient terms in an annulus, Complex Variables and Elliptic Equations, 2018, 63(2): 171-187.
[4] Yongxiang Li, Yanhong Li. Positive Solutions of a Third-Order Boundary Value Problem with Full Nonlinearity, Mediterranean Journal of Mathematics, 2017, 14(3): No. 128.
[5] Yongxiang Li. Existence of positive solutions for the cantilever beam equations with fully nonlinear terms, Nonlinear Analysis: Real World Applications, 2016, 27: 221-237.
[6] Yongxiang Li, Positive solutions for second order boundary value problems with derivative terms, Mathematische Nachrichten, 2016, 289(16): 2058–2068.
[7] Yongxiang Li, Huanhuan Zhang. Existence of positive radial solutions for the elliptic equations on an exterior domain, Ann. Polon. Math. 2016, 116 (1): 67-78.
[8] Yongxiang Li. Existence and asymptotic stability of periodic solution for evolution equations with delays. J. Functional Analysis, 2011, 261(5): 1309-1324.
[9] Yongxiang Li, Hongxia Fan. Existence of positive periodic solutions for higher order ordinary differential equations. Comput. Math. Appl. 2011, 62(4): 1715-1722.
[10] Yongxiang Li, He Yang. Existence and uniqueness of periodic solutions for odd-order ordinary differential equations. Ann. Polon. Math. 2011,100 (2): 105-114.
[11] Yongxiang Li. Positive periodic solutions for fully third-order ordinary differential equations. Comput. Math. Appl. 2010, 59(11): 3464-3471.
[12] Yongxiang Li, Jia Mu. Odd periodic solutions for 2nth-order ordinary differential equations. Nonlinear Analysis, 2010, 73(10): 3268-3277.
[13] Yongxiang Li. A monotone iterative technique for solving the bending elastic beam equations. Applied Math. Comput. 2010, 217(5), 2200-2208.
[14] Yongxiang Li. Existence and uniqueness of periodic solution for a class of semilinear evolution equations. J. Math. Anal. Appl. 2009, 349(1): 226-234.
[15] Yongxiang Li. On the existence and uniqueness for higher order periodic boundary value problems. Nonlinear Analysis, 2009, 70(2): 711-718.
[16] Yongxiang Li. Maximum principles and the method of upper and lower solutions for time-periodic problems of the telegraph equations. J. Math. Anal. Appl. 2007, 327(2): 997-1009.
[17] Yongxiang Li, Liu Zhe. Monotone iterative technique for addressing impulsive integro- differential equations in Banach spaces. Nonlinear Analysis, 2007, 66(1): 83-92.
[18] Yongxiang Li. Multiply sign-changing solutions for fourth-order nonlinear boundary value problems. Nonlinear Analysis, 2007, 67(2): 601-608.
[19] Yongxiang Li. On the existence of positive solutions for the bending elastic beam equations. Applied Math. Comput. , 2007, 189(1): 821-827.
[20] Yongxiang Li. Existence and uniqueness for higher order periodic boundary value problems under spectral separation conditions. J. Math. Anal. Appl. 2006, 322(2): 530-539.
[21] Yongxiang Li. On the existence and nonexistence of positive solutions for Sturm-Liouville boundary value problems. J. Math. Anal. Appl. 2005, 304(1), 74-86.
[22] Yongxiang Li. Two-parameter nonresonance condition for the existence of fourth-order boundary value problems. J. Math. Anal. Appl. 2005, 308(1), 121-128.
[23] Yongxiang Li. Oscillatory periodic solutions of nonlinear second order ordinary differential equations. Acta Math. Sinica (English Ser.), 2005, 21(3): 491-496.
[24] Yongxiang Li. Abstract existence theorems of positive solutions for nonlinear boundary value problems. Nonlinear Analysis, 2004, 57(3), 211-227.
[25] Yongxiang Li. Positive solutions of higher order periodic boundary value problems. Comput. Math. Appl. 2004, 48(1), 153-161.
[26] Yongxiang Li. Positive periodic solutions of first and second order ordinary differential equations, Chinese Ann. Math. (Ser. B), 2004, 25(3), 413-420.
[27] Yongxiang Li. Positive solutions of fourth-order periodic boundary value problems, Nonlinear Analysis, 2003, 54(6), 1069-1078.
[28] Yongxiang Li. Positive doubly periodic solutions of nonlinear telegraph equations. Nonlinear Analysis, 2003, 55(3), 245-254.
[29] Yongxiang Li. Positive solutions of fourth-order boundary value problems with two parameters. J. Math. Anal. Appl. 2003, 281(2), 477-484.
[30] Yongxiang Li. Positive solutions of second-order boundary value problems with sign-changing nonlinear terms. J. Math. Anal. Appl. 2003, 282(1), 232-240.
[31] 李永祥, 劉愛蘭. 非線性邊值問題正解存在性的特征值判據, 數學學報, 2017, 60(4): 631-640.
[32]李永祥. 含時滞導數項的二階中立型泛函微分方程的正周期解, 數學學報, 2014, 57(3): 505-516.
[33]李永祥, 楊和. 用橢圓描述的四階邊值問題的兩參數非共振條件. 數學物理學報, 2010, 30A(1): 239-244.
[34]李永祥.電報方程雙周期解的極大值原理與強正性估計及應用. 數學學報, 2007, 50(4): 895-908.
[35]李永祥. 抽象半線性發展初值問題解的存在性. 數學學報, 2005, 48(6), 1089-1094.
[36]李永祥. 四階邊值問題正解的存在性與多解性. 應用數學學報, 2003, 26(1): 109-116.
[37]李永祥. 二階非線性常微分方程的正周期解. 數學學報, 2002, 45(3): 481-488.
[38]李永祥. Banach空間半線性發展方程的周期解. 數學學報, 1998, 41(3): 629-636 .
[39]李永祥. 關于抽象強阻尼波方程的指數穩定性. 數學年刊, 1997, 18A(3): 299-306.
[40]李永祥. 抽象半線性發展方程的正解及其應用. 數學學報, 1996, 39(5): 666-672.
