In this paper, nonstandard analysis is employed to present an existence theory of -valued stochastic differential equations involving evolution drift. And (C0, 1)-evolution systems are also defined and investigated on...In this paper, nonstandard analysis is employed to present an existence theory of -valued stochastic differential equations involving evolution drift. And (C0, 1)-evolution systems are also defined and investigated on dual multi-Hilbertian spaces.展开更多
讨论变系数Euler-Bernoulli梁振动系统utt(x,t)+η(t)uxxxx(x,t)=0, 0<x<1, 0 t Tu(0,t)=ux(0,t)=0, 0 t T-uxxx(1,t)+mutt(1,t)=-αut(1,t)+βuxxxt(1,t), 0 t Tuxt(1,t)=-γuxx(1,t), 0 t Tu(x,0)=u1(x), ut(x,0)=u2(x)... 讨论变系数Euler-Bernoulli梁振动系统utt(x,t)+η(t)uxxxx(x,t)=0, 0<x<1, 0 t Tu(0,t)=ux(0,t)=0, 0 t T-uxxx(1,t)+mutt(1,t)=-αut(1,t)+βuxxxt(1,t), 0 t Tuxt(1,t)=-γuxx(1,t), 0 t Tu(x,0)=u1(x), ut(x,0)=u2(x), 0 x 1(1) 证明了该系统产生一个发展系统.展开更多
文摘In this paper, nonstandard analysis is employed to present an existence theory of -valued stochastic differential equations involving evolution drift. And (C0, 1)-evolution systems are also defined and investigated on dual multi-Hilbertian spaces.
文摘 讨论变系数Euler-Bernoulli梁振动系统utt(x,t)+η(t)uxxxx(x,t)=0, 0<x<1, 0 t Tu(0,t)=ux(0,t)=0, 0 t T-uxxx(1,t)+mutt(1,t)=-αut(1,t)+βuxxxt(1,t), 0 t Tuxt(1,t)=-γuxx(1,t), 0 t Tu(x,0)=u1(x), ut(x,0)=u2(x), 0 x 1(1) 证明了该系统产生一个发展系统.
