【作者】 苏珂；

【导师】 何震；

【作者基本信息】 河北大学 ， 应用数学， 2003， 硕士

【摘要】 在这篇文章中，我们主要研究了一类形似u′(t)+B(t，u(t))f(t)的发展包含问题的解。其中的算子为(M)型的，这与许多作者讨论的伪单调算子有很大不同。同时，我们还讨论了含增生算子的发展包含问题的解。最后，对上述问题加入扰动，我们又讨论了带扰动的发展包含问题。事实上，也包含了对多种发展方程的解的存在性的讨论。这一结论对已有的发展包含及发展方程问题的结论作了改进，推广及补充，并具有一定的实际应用价值。更多还原

【Abstract】 In this paper, the solution of the nonlinear evolution inclusion problem with the form u’(t)+B(t, u(t)) * f(t) is studied. In this problem, the operators are of type (M) or type (S+), which are different from the pesuo-monotone operators that had been studied by many authors. At the same time, we also consider the solution of nonlinear evolution inclusion which includes accretive operator. In the end, we studied this problem with perturbation. In fact, many kinds of evolution equations can be generalized by this problem. The former results are improved and generalized by our conclusions. Moreover, our results have more applications.更多还原