科技通报
科技通報
과기통보
BULLETIN OF SCIENCE AND TECHNOLOGY
2015年
6期
1-3
,共3页
重积分微分方程%稳定解%非线性动力系统
重積分微分方程%穩定解%非線性動力繫統
중적분미분방정%은정해%비선성동력계통
multipe integral differential equations%stable solution%nonlinear dynamic system
结合重积分微分方程的稳定性理论，得知重积分微分方程中多复变微分方程的初值解不一定可逆，使用近似矩阵进行渐进逼近，根据自相关函数信息矢量迭代模型，得到当自相关向量的最小互信息量达到渐进稳定，求解双边界条件下的稳定性平衡点，实现全局渐进稳定，在重积分微分方程中对多复变微分方程进行时空分叉问题的分析和初值解的稳定性和收敛性分析，通过数学推导和数值分析，得出重积分微分方程重叠型稳定解存在，且具有收敛性。
結閤重積分微分方程的穩定性理論，得知重積分微分方程中多複變微分方程的初值解不一定可逆，使用近似矩陣進行漸進逼近，根據自相關函數信息矢量迭代模型，得到噹自相關嚮量的最小互信息量達到漸進穩定，求解雙邊界條件下的穩定性平衡點，實現全跼漸進穩定，在重積分微分方程中對多複變微分方程進行時空分扠問題的分析和初值解的穩定性和收斂性分析，通過數學推導和數值分析，得齣重積分微分方程重疊型穩定解存在，且具有收斂性。
결합중적분미분방정적은정성이론，득지중적분미분방정중다복변미분방정적초치해불일정가역，사용근사구진진행점진핍근，근거자상관함수신식시량질대모형，득도당자상관향량적최소호신식량체도점진은정，구해쌍변계조건하적은정성평형점，실현전국점진은정，재중적분미분방정중대다복변미분방정진행시공분차문제적분석화초치해적은정성화수렴성분석，통과수학추도화수치분석，득출중적분미분방정중첩형은정해존재，차구유수렴성。
Nonlinear partial differential equations such as control theory, design. Combining with the stability theory of inte?gral differential equations, initial value differential that heavy integral equation in several complex variable solution of dif?ferential equations is not necessarily invertible matrix, using the approximate progressive approximation, autocorrelation function according to the information vector iteration model, obtained when the autocorrelation vector minimum mutual in?formation quantity to achieve asymptotic stability, stability of the equilibrium point of solving the two boundary conditions next, the global asymptotic stability, the differential weight integral equations of several complex variable differential equa?tions for analysis of stability and convergence analysis and initial spatiotemporal bifurcation solutions, through mathemati?cal derivation and numerical analysis of effectiveness of experimental method, the repeated integral differential equation overlapping stable solution exists, and it has convergence.
