任国静，女，理学博士、副教授。主讲《常微分方程》、《高等数学》、《线性代数》、《微积分》、《时间序列分析》等课程。近几年在SCI核心期刊发表论文十余篇，主持国家自然基金两项，承担国家及省部级项目多项，研究成果曾获公司优秀科研成果奖多次，2012年获公司“青年科技骨干十强”荣誉称号，2014年获公司科研突出奖等。

主要研究兴趣：微分方程和动力系统

主要发表论文和著作

[1]Guojing Ren, Yuming Shi, Asymptotic behavior of solutions of perturbed linear difference systems,Linear Algebra and its Applications, 395(2005), 283-302. (SCI)

[2]Guojing Ren, Yuming Shi, Asymptotic behavior of dynamic systems on times scales, Journal of Difference Equations and its Applications, 12(2006), 1289-1302. (SCI)

[3]Guojing Ren, Yuming Shi,The defect index of singular symmetric linear difference equations with real coefficients, Proceedings of the American Mathematical Society, 138(2010), 2463-2475. (SCI)

[4]Guojing Ren, Yuming Shi, Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems, Applied Mathematics and Computation, 218(2011), 3414-3429. (SCI)

[5] Guojing Ren, Defect indices of singular symmetric linear difference equations with complex coefficients, Advances in Difference Equations,3(2012), 1-13.(SCI)

[6]Guojing Ren, Huaqing Sun,J-self-adjoint extensions fordiscrete linear Hamiltonian systems,Abstract and Applied Analysis, (2013), 1-19.(SCI)

[7]Huaqing Sun, Guojing Ren,J-self-adjoint extensions for second-orderlinear difference equations with complex coefficients,Advances in Difference Equations, 5(2013), 1-16.(SCI)

[8] Yuming Shi, Chunmei Shao, and Guojing Ren,Spectral properties of self-adjoint subspaces,Linear Algebra and its Applications,438(2013), 191-218.(SCI)

[9] Guojing Ren, On the density of the minimal subspaces generated by discrete linear Hamiltonian systems, Applied Mathematics Letters, 27 (2014), 1-5. (SCI)

[10] Guojing Ren, Defect index of the square of a formally self-adjoint second-order difference expression, Advances in Difference Equations, 3(2014), 1-12. (SCI)

[11] Haiyan Lv, Yuming Shi, and Guojing Ren, Error estimate of eigenvalues of perturbed higher-order discrete vector boundary value problems,Abstract and Applied Analysis, 2(2014), 1-19.(SCI)

[12]Guojing Ren , Yuming Shi, Self-adjoint extensions for discrete linear Hamiltonian systems, Linear Algebra and its Applications, 454 (2014), 1–48. (SCI)

主持及承担项目

1.国家自然科学基金项目：离散线性哈密顿系统亏指数的研究，项目编号：11226160，负责人。

2.国家自然科学基金项目：奇异离散线性哈密顿系统的谱分析，项目编号：11311304，负责人。

3.国家自然科学基金项目：非对称线性差分系统谱理论研究，项目编号：11101241，第三位。

4.山东省自然科学基金青年基金项目：非自伴线性哈密顿系统谱性质的研究，项目编号：ZR2011AQ002，第三位。

学术兼职

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