Existence criteria for singular initial value problems with sign changing nonlinearities.
Agarwal, Ravi P., O'Regan, Donal, Lakshmikantham, V. (2001)
Mathematical Problems in Engineering
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Agarwal, Ravi P., O'Regan, Donal, Lakshmikantham, V. (2001)
Mathematical Problems in Engineering
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Kusano, Takaŝi, Tanigawa, Tomoyuki (2000)
Journal of Inequalities and Applications [electronic only]
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Daqing Jiang, Xiao Jie Xu, Donal O'Regan, Ravi P. Agarwal (2005)
Czechoslovak Mathematical Journal
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In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent variable.
Tadeusz Jankowski (2003)
Czechoslovak Mathematical Journal
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We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Amer, S.M. (1996)
International Journal of Mathematics and Mathematical Sciences
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Kusano, Takaŝi, Naito, Manabu (2000)
Journal of Inequalities and Applications [electronic only]
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Tadeusz Jankowski (2004)
Czechoslovak Mathematical Journal
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We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.