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R. W. Leggett and L. R. Williams, “Multiple Positive Fixed Points of Nonlinear Operator on Order Banach Spaces,” Indiana University Mathematics Journal, Vol. 28, No. 4, 1979, pp. 673-688. doi:10.1512/iumj.1979.28.28046

has been cited by the following article:

• TITLE: Existence of Multiple Positive Solutions for nth Order Two-Point Boundary Value Problems on Time Scales

  AUTHORS: Kapula Rajendra Prasad, Penugurthi Murali, Nadakuduti V. V. S. Suryanarayana

  KEYWORDS: Time Scale; Dynamical Equation; Positive Solution; Cone; Boundary Value Problem

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.1, January 29, 2013

  ABSTRACT: We consider the nth order nonlinear differential equation on time scales subject to the right focal type two-point boundary conditions We establish a criterion for the existence of at least one positive solution by utilizing Krasnosel’skii fixed point theorem. And then, we establish the existence of at least three positive solutions by utilizing Leggett-Williams fixed point theorem.