Singular initial and boundary value problems with sign changing nonlinearities |
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| Authors: | Agarwal Ravi P; O'Regan Donal |
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1 Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260 2 Department of Mathematics, National University of Ireland, Galway, Ireland
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| Abstract: | A variety of new existence results are presented for both singularinitial and boundary value problems where the nonlinearity is allowed to change sign. Our theory is then applied to anexample which arises naturally in nonlinear mechanics (thatis, in the membrane response of a spherical cap).
Received 17 May, 1999. |
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