volterra integral equation 中文意思是什麼
volterra integral equation
解釋
伏爾特拉積分方程-
In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation. we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion. finally, we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families
第四章我們主要研究了k -正則預解運算元族的遍歷極限的收斂率和逼近。藉助于k -泛函和相對完備化，給出了k -正則預解運算元族在0點的遍歷性，證明了一些基本性質。我們也證明了k -正則預解運算元族的遍歷極限的收斂率和逼近的一些結果。 -
This paper has four parts. the first chapter gives the origin of the problem and some related preliminary knowledge. the second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail. the third chapter discusses and proves the stability of a perturbing n - dimensional volterra integral and differential equation
前言部分介紹了問題的提出和相關的預備知識。第二章詳細論證了一類具有無窮時滯中立型積分微分方程周期解的存在唯一性和穩定性。第三章用liapunov泛函論證了一類具有擾動的n維volterra型積分微分方程的穩定性。
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