In this paper,we introduce the concept of the G class of functions of the parabolic class, and show the Hlder continuity of the G class of functions.The introduction of.this concept contributes to the proof of the reg...In this paper,we introduce the concept of the G class of functions of the parabolic class, and show the Hlder continuity of the G class of functions.The introduction of.this concept contributes to the proof of the regularity and existence of the solution for the first boundary problem of parabolic equation in divergence form.展开更多
In this paper, Lyapunov-like exponential stability and unstability of differentialalgebraic equation are considered from the viewpoint of stability of system motion, and the criteria of exponential stability and unsta...In this paper, Lyapunov-like exponential stability and unstability of differentialalgebraic equation are considered from the viewpoint of stability of system motion, and the criteria of exponential stability and unstability of nonlinear nonautonomous differential-algebraic equation are given by using Lyapunov-like function similar to ordinary differential equation.展开更多
基金Project supported by NNFC (79790130)ZJPNFC(198013) and STDF of Shanghai
文摘In this paper,we introduce the concept of the G class of functions of the parabolic class, and show the Hlder continuity of the G class of functions.The introduction of.this concept contributes to the proof of the regularity and existence of the solution for the first boundary problem of parabolic equation in divergence form.
文摘In this paper, Lyapunov-like exponential stability and unstability of differentialalgebraic equation are considered from the viewpoint of stability of system motion, and the criteria of exponential stability and unstability of nonlinear nonautonomous differential-algebraic equation are given by using Lyapunov-like function similar to ordinary differential equation.
