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On 2nth-order Lidstone boundary value problems |
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| Authors: | Yuan-Ming Wang |
| Affiliation: | a Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China11Current address. b Division of Computational Science, E-Institute of Shanghai Universities, Shanghai Normal University, Shanghai 200234, Peoples's Republic of China |
| Abstract: | This paper is concerned with the solutions of a class of 2nth-order Lidstone boundary value problems. Sufficient conditions for the existence and uniqueness of a solution are given. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal or a minimal solution. The approach to the problem is by the method of upper and lower solutions with a new maximum principle. |
| Keywords: | 2nth-Order Lidstone boundary value problem Existence and uniqueness Method of upper and lower solutions Maximum principle |
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