【摘要】：為了研究時(shí)間尺度上的Birkhoff系統(tǒng)動(dòng)力學(xué),該文給出了時(shí)間尺度上delta-nabla導(dǎo)數(shù)下Birkhoff系統(tǒng)的運(yùn)動(dòng)積分方程。該方程是在一定邊界條件和自然邊界條件下分別進(jìn)行研究的。時(shí)間尺度上delta導(dǎo)數(shù)下、nabla導(dǎo)數(shù)下Birkhoff系統(tǒng)的運(yùn)動(dòng)積分方程均為該方程的特例。對(duì)其它若干特例進(jìn)行了討論分析。舉例說(shuō)明了結(jié)果的應(yīng)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.
【作者單位】： 南京理工大學(xué)理學(xué)院;蘇州科技大學(xué)土木工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11272227;11572212) 江蘇省高校研究生創(chuàng)新計(jì)劃項(xiàng)目(KYLX15_0405)
【分類號(hào)】：O175
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本文編號(hào)：2262376