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Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System

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  • Peiguang Wang
  • Tiantian Kong

Abstract

We study the boundary value problems of second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. Finally, we get the similar result for the given BVPs.

Suggested Citation

  • Peiguang Wang & Tiantian Kong, 2013. "Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, December.
  • Handle: RePEc:hin:jnlaaa:308413
    DOI: 10.1155/2013/308413
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