Constructive existence and uniqueness for two-point boundary-value problems with a linear gradient term |
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Authors: | James A. Pennline |
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Affiliation: | Computer Services Division MS 142-2 NASA Lewis Research Center Cleveland, Ohio 44135, USA |
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Abstract: | Constructive existence and uniqueness theorems are established for nonlinear two-point boundary-value problems governed by the equation y″=f(x, y)+p(x)y′, 0?x?1. The existence and uniqueness is established for functions y(x) that satisfy a certain constraint, i.e., that sfncy(x)sfnc is bounded by a known function or that 0?y(x)?M for some M. Applications to scientific problems in the literature are given. |
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