One-dimensional nonlinear Laplacians under a 3-point boundary condition |
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Authors: | Bruce D. Calvert |
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Affiliation: | 1. Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand
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Abstract: | We consider a three-point boundary value problem for operators such as the one-dimensional p-Laplacian, and show when they have solutions or not, and how many. The inverse operators are given by various formulas involving zeros of a real-valued function. They are shown to be order-preserving, for some parameter values, and non-singleton valued for others. The operators are shown to be m-dissipative in the space of continuous functions. |
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Keywords: | Boundary value problems nonlinear o.d.e.s p-Laplacian three-point boundary value problem m-dissipative |
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