Abstract
The existence of nondecreasing positive solutions for the nonlinear third-order two-point boundary value problem u‴(t) + q(t)f(t, u(t), u′(t)) = 0, 0 < t < 1, u(0) = u″(0) = u′ (1) = 0 is studied. The iterative schemes for approximating the solutions are obtained by applying a monotone iterative method.
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Supported by the Natural Science Foundation of Zhejiang Province (Y605144) and the XNF of Zhejiang University of Media and Communications (XN08001; 2008034)
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Sun, Yp. Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem. Appl. Math. J. Chin. Univ. 23, 413–419 (2008). https://doi.org/10.1007/s11766-008-1985-z
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DOI: https://doi.org/10.1007/s11766-008-1985-z