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Analytic solutions of parametric type and numerical simulations of a class of nonlinear ordinary differential equations
BVP analytic solutions of parametric type
2010/9/25
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...
Periodic boundary value problem for second order ordinary differential equations
Boundary value problems periodic solution
2010/9/10
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...
Rearrangements of the Coefficients of Ordinary Differential Equations
Rearrangements Nonconvex set Extremal couples
2008/6/27
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...