Abstract
In this paper, the solution of the nonlinear evolution inclusion problem of 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 those of pseudo-monotone operators that had been studied by many authors. At the same time, we study the perturbation problem. In fact, many kinds of evolution equations can be generalized by this problem. The former results are improved and generalized by our conclusions, and we will give more applications.
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