A note on monotone convergence to solutions of first-order differential equations.

A note on monotone convergence to solutions of first-order differential equations.

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An attempt to show that a monotone increasing sequence of approximation can be obtained to the solution of the differential equation du/dt = 0(u,t),u(O) = c. It is assumed that 0(u,t) is a twice differentiable convex function of u in some t-interval...