Abstract Nonlinear functional partial differential equations with initial conditions are considered on the cone. The weak convergence of a sequence of successive approximations is proved. The proof is given by the duality principle.

中文翻译：

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一阶非线性泛函微分方程的有限差分法

摘要 在锥体上考虑了具有初始条件的非线性泛函偏微分方程。证明了一系列逐次逼近的弱收敛性。证明由对偶原理给出。