Existence results for a class of second order evolution inclusions and its corresponding first order evolution inclusions |
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| Authors: | Xiaoyou Liu Zhenhai Liu |
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| Institution: | 192. School of Science, Guangxi University for Nationalities Nanning, 530006, Guangxi Province, P. R. China
292. School of Mathematical Science and Computing Technology, Central South University Changsha, 410075, Hunan Province, P.R. China
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| Abstract: | We deal with an abstract second order nonlinear evolution inclusion with its principal part having a small parameter ?. We prove the existence of a weak solution when the nonlinearity F is convex as well as nonconvex valued. Then we study the asymptotic behavior of a sequence of solutions {u ? } when ? → 0. We prove that there exists a limit function u, and u is a solution of the corresponding first order evolution inclusion. |
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