Hilbert空间上二阶微分包含的边界值问题

Boundary value problems for second order differential inclusions in Hilbert spaces

讨论Hilbert空间上一类二阶微分包含的集值边界问题,通过研究逼近方程解的有界性与收敛性,并改进Aftabizadech-Pavel估计的方法,在系数光滑性降低的情形下,证明了解的存在唯一性.

This paper deals with a class of multivalued boundary value problems for the subhnear second order differential inclusions in Hilbert spaces. By studying the boundedness and convergence of solutions of the approximate equations, and improving the method of estimation used by Aftabizadech and Pavel, it proves the existence and uniqueness of the solution, hnder the weaker smoothness of coefficients.