Deterministic and Stochastic Differential Equations in Hilbert Spaces Involving Multivalued Maximal Monotone Operators
Deterministic and Stochastic Differential Equations in Hilbert Spaces Involving Multivalued Maximal Monotone Operators
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发表时间：
2014-02
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通讯作者：
A. Rùascanu
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作者：
A. Rùascanu
这项工作处理由极大算子驱动的 Skorokhod 问题： ( du(t) + Au(t)(dt) ∋ f (t)dt + dM (t), 0 < t < T, u(0) = u0 ，这是一个具有奇异输入 dM (t) 的多值确定性微分方程，其中 t → M (t) 是连续函数。存在唯一性结果用于
This work deals with a Skorokhod problem driven by a maximal operator: ( du(t) + Au(t)(dt) ∋ f (t)dt + dM (t), 0 < t < T, u(0) = u0 , that is a multivalued deterministic differential equation with a singular inputs dM (t), where t → M (t) is a continuous function. The existence and uniqueness result is used to