Existence and Uniqueness of Smooth Positive Solutions to a Class of Singular m-Point Boundary Value Problems

نویسندگان

  • Xinsheng Du
  • Zengqin Zhao
  • Donal O’Regan
چکیده

This paper investigates the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations. A necessary and sufficient condition for the existence and uniqueness of smooth positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f t, u, v may be singular at v, t 0 and/or t 1.

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تاریخ انتشار 2009