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AN ITERATIVE METHOD FOR APPROXIMATE SOLUTION OF BOUNDARY VALUE PROBLEMS FOR IMPLICIT DIFFERENTIAL EQUATIONS

Annotation

We present an iterative method for approximate solution of boundary value problems for differential equations unsolved for the derivative. Under the covering conditions with respect to the corresponding variables for the functions generating the differential equation and the boundary condition we derive the convergence of iterations to a solution of the boundary value problem.

Keywords

covering mappings of metric spaces; ordinary differential equations unsolved for the derivative; boundary value problem; iteration

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UDC

517.922 + 517.988.5

Pages

1138-1141

References

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Received

2015-06-05

Section of issue

Scientific articles

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