BOUNDARY VALUE APPLICATION OF A ONE-DIMENSIONAL MAXIMUM PRINCIPLE.
NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
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The problem considered is the application of a one-dimensional maximum principle to second order, linear differential equations of the form u gxu hxu fx for a x b with associated general boundary conditions to obtain functions z1x and z2x such that z2x or ux or z1x on the closed interval a,b. The functions f, g, and h are assumed to be bounded. We wish to determine the behavior of the solution ux on the closed interval a,b and also to obtain reliable numerical estimates of u. Author
- Theoretical Mathematics