An evolution inclusion with the right-hand side containing a time-dependent maximal monotone operator and a multivalued mapping with closed nonconvex values is studied in a separable Hilbert space. The dependence of the maximal monotone operator on time is described with the help of the distance between maximal monotone operators in the sense of Vladimirov. This distance as a function of time has bounded variation with an upper bound given by a nonatomic positive Radon measure. By a solution of the inclusion one means a continuous function of bounded variation whose differential measure (Stieltjes measure) is absolutely continuous with respect to the positive Radon measure above, and the values of the density of this differential measure with respect to the Radon measure belong to the right-hand side of the inclusion almost everywhere. Under the traditional assumptions on the perturbation (measurability, Lipschitzianity in the phase variable in the Hausdorff metric, linear growth condition), the existence of solutions is proven and some properties of the solution set are established.

在可分离的希尔伯特空间中研究了一个包含右手边的演化包含物，该依赖物包含一个与时间有关的最大单调算子和一个具有封闭非凸值的多值映射。最大单调算子对时间的依赖性是在弗拉基米罗夫意义上借助于最大单调算子之间的距离来描述的。该距离作为时间的函数具有有限的变化，其上限由非原子正Radon量度给出。通过包含的解，一种方法是有界变化的连续函数，其微分测度（Stieltjes测度）相对于上面的正Radon测度绝对连续，并且该微分测度相对于Radon测度的密度值属于几乎所有地方都位于包容的右侧。