Existence and uniqueness of solutions to a nonlinear elliptic boundary value problem on time scales |
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Institution: | 1. Department of Applied Mathematics, University of Campinas, Campinas, SP 13081-970, Brazil;2. Department of Mathematics, University of Colorado, P.O. Box 173364, Campus Box 170, Denver, CO 80217-3364, USA |
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Abstract: | In this paper, we consider a boundary value problem (BVP) for second-order nonlinear partial dynamic equations on the time scale rectangles. Some explicit conditions are established that ensure existence and uniqueness of solution to the BVP under consideration. |
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