时间尺度上Birkhoff系统的delta-nabla积分方程
发布时间：2018-10-10 15:54
【摘要】：为了研究时间尺度上的Birkhoff系统动力学,该文给出了时间尺度上delta-nabla导数下Birkhoff系统的运动积分方程。该方程是在一定边界条件和自然边界条件下分别进行研究的。时间尺度上delta导数下、nabla导数下Birkhoff系统的运动积分方程均为该方程的特例。对其它若干特例进行了讨论分析。举例说明了结果的应用。
[Abstract]:In order to study the dynamics of Birkhoff systems on a time scale, the integral equations of motion for Birkhoff systems with delta-nabla derivatives on time scales are given in this paper. The equation is studied under certain boundary conditions and natural boundary conditions. The integral equations of motion of Birkhoff system under delta derivative and nabla derivative on time scale are all special cases of this equation. Some other special cases are discussed and analyzed. An example is given to illustrate the application of the result.
【作者单位】： 南京理工大学理学院;苏州科技大学土木工程学院;
【基金】：国家自然科学基金(11272227;11572212) 江苏省高校研究生创新计划项目(KYLX15_0405)
【分类号】：O175
，
本文编号：2262376
[Abstract]:In order to study the dynamics of Birkhoff systems on a time scale, the integral equations of motion for Birkhoff systems with delta-nabla derivatives on time scales are given in this paper. The equation is studied under certain boundary conditions and natural boundary conditions. The integral equations of motion of Birkhoff system under delta derivative and nabla derivative on time scale are all special cases of this equation. Some other special cases are discussed and analyzed. An example is given to illustrate the application of the result.
【作者单位】： 南京理工大学理学院;苏州科技大学土木工程学院;
【基金】：国家自然科学基金(11272227;11572212) 江苏省高校研究生创新计划项目(KYLX15_0405)
【分类号】：O175
，
本文编号：2262376
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