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Home  >  Volume 32 (Nov. 2015)

Fixed Point Theory for -Th Order Ordinary Differential Equations by K. Rauf, O.T. Wahab, and J.O. Omolehin (pages 57-68)
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In this article, we consider fixed point theorems with applications to nth order differential equation. In particular, we establish Banach fixed point to prove the famous Pickad theorem by transforming n-th order ordinary differential equation into system of first order ordinary differential equation and finally into vector ordinary differential equation of Euler's form. Some examples are considered. Our results extend and generalize several existing results in the literature.

Keywords: Pickad theorem, Fixed point, Lipschitz map, Nonlinear operator. 2010 Mathematics Subject Classification. 26Dxx, 11P55, 35A23, 47A63