The generalized quasilinearization method for second-order three-point boundary value problems |
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Authors: | Minghe Pei Sung Kag Chang |
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Affiliation: | 1. Department of Mathematics, Bei Hua University, JiLin City 132013, People’s Republic of China;2. Department of Mathematics, Yeungnam University, Kyongsan, 712-749, Republic of Korea |
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Abstract: | In this paper, we obtain the existence and uniqueness results for general second-order three-point boundary value problems by applying the method of upper and lower solutions together with Leray–Schauder degree, as well as obtaining monotone iteration schemes which converge quadratically to the unique solution of some specific second-order three-point boundary value problem by using the method of quasilinearization. |
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Keywords: | 34B10 34B15 |
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