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In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are appl...
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...
In this paper, the mathematical model that describes the radially symmetric deformation of a micro-void centered at a compressible hyperelastic sphere is formulated as a boundary value problem (BVP) o...
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....
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 ...
In the paper we o er a functional-discrete method for solving the Cauchy problem for the rst order ordinary di erential equations (ODEs). This method (FD-method) is in some sense similar to the Adomi...
In this paper we study the periodic boundary value problem for a nonlinear ordinary differential equation of second order. We give sufficient and necessary conditions for the existence of periodic sol...
We establish extremal values of a solution y of a second-order initial value problem as the coefficients vary in a nonconvex set. These results extend earlier work by M. Essen in particular by allowin...
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...
We give a necessary and su±cient condition for an algebraic ODE to have a rational type general solution. For an autonomous ˉrst order ODE, we give an algorithm to compute a rational general solution ...
A new approach for obtaining the transformations of solutions of nonlinear ordinary differential equations representable as the compatibility condition of the overdetermined linear systems is propose...

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