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Lower and Upper Solutions of Second Order NonLinear Ordinary Differential Equations
Journal: International Journal of Scientific Engineering and Science (Vol.3, No. 11)Publication Date: 2019-15-12
Authors : S.E. Aniaku E.C. Mbah C.C. Asogwa P.U. Nwokoro;
Page : 62-64
Keywords : Nagumo condition; Lipschitz constant; lower solution; upper solution compact space;
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Abstract
A lower solution (t) and upper solution (t) technique is used for second order boundary value problem if the function f (t, u, u1 ) involved satisfies | | | Such function must also satisfy Nagumo condition. It was observed that unlike in first order ordinary differential equations (ODE) there is ordering in the lower and upper solutions of second order ODE.
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Last modified: 2020-03-18 16:18:54