Article
MSC:
34B15,
47H05,
47J05,
47N20,
65L60 | MR 2469067 | Zbl 1199.47207 | DOI: 10.1007/s10492-008-0043-8
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Keywords:
worst scenario problem; nonlinear differential equation; uncertain input parameters; Galerkin approximation
worst scenario problem; nonlinear differential equation; uncertain input parameters; Galerkin approximation
Summary:
We propose a theoretical framework for solving a class of worst scenario problems. The existence of the worst scenario is proved through the convergence of a sequence of approximate worst scenarios. The main convergence theorem modifies and corrects the relevant results already published in literature. The theoretical framework is applied to a particular problem with an uncertain boundary value problem for a nonlinear ordinary differential equation with an uncertain coefficient.
References:
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