Electron. J. Diff. Equ.,
Vol. 2010(2010), No. 125, pp. 147.
C^1approximate solutions of secondorder singular ordinary
differential equations
George L. Karakostas
Abstract:
In this work a new method is developed to obtain C^1approximate
solutions of initial and boundaryvalue problems generated from a
one  parameter second order singular ordinary differential equation.
Information about the order of approximation is also given by
introducing the so called growth index of a function.
Conditions are given for the existence of such approximations
for initial and boundaryvalue problems of several kinds.
Examples associated with the corresponding graphs of the
approximate solutions, for some values of the parameter,
are also given.
Submitted March 21, 2010. Published September 7, 2010.
Math Subject Classifications: 34A45, 34A12, 34A25, 34B99.
Key Words: Oneparameter second order ordinary differential equation;
growth index of a function; Approximate solutions;
Initial value problems; boundary value problems.
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George L. Karakostas
Department of Mathematics, University of Ioannina
451 10 Ioannina, Greece
email: gkarako@uoi.gr

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