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Semipositone Problems of Second Order Ordinary Differential Equations
Positive solution Semipositone boundary value problem Ordinary differential equation
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2011/10/12
The paper is concerned with the semipositone boundary value problems of second-order ordinary differential equations. Applying a fixed point theorem in cones, an existence result of at least one posit...
Unnecessary Exact Solutions of Nonlinear Ordinary Differential Equations
Unnecessary Exact Solutions Nonlinear Ordinary Differential Equations
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2010/11/10
We analyze the paper by Wazwaz and Mehanna [Wazwaz A.M., Mehanna M.S., A variety of exact travelling wave solutions for the (2+1) -- dimensional Boiti -- Leon -- Pempinelli equation, Appl. Math. Comp....
Positive periodic solutions of singular systems of first order ordinary differential equations
Periodic solutions singular system Krasnoselskii fixed point
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2010/12/10
The existence and multiplicity of positive periodic solutions for first non-autonomous singular systems are established with superlinearity or sublinearity assumptions atinfinity for an appropriately ...
MULTIPLICATIVE EXTRAPOLATION METHOD FOR CONSTRUCTING HIGHER ORDER SCHEMES FOR ORDINARY DIFFERENTIAL EQUATIONS
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2007/12/11
In this paper, we develop a new teclinique called multiplicative extrapolation method which is used to construct higher order schemes for ordinary dtherential equations. We call it a new method becaus...