C-1-Approximate Solutions of Second-Order Singular Ordinary Differential Equations
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Authors
Karakostas, G. L.
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Texas State University, Department of Mathematics
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peer reviewed
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Electronic Journal of Differential Equations
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In this work a new method is developed to obtain C-1-approximate solutions of initial and boundary-value 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 boundary-value problems of several kinds. Examples associated with the corresponding graphs of the approximate solutions, for some values of the parameter, are also given.
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one-parameter second order ordinary differential equation, growth index of a function, approximate solutions, initial value problems, boundary value problems
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<Go to ISI>://000208204200001
Language
en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών