Scientific-technical journal


The theorem on the sufficient condition for the applicability of the principle of contraction mappings in space , with reduction to a nonlinear integral equation, using the Green's function, to find the solution of the initial-boundary conditions of quasi-linear ordinary differential equations. The way is given in the proof of the theorem using the initial condition is determined by the ,, then with the same procedure of finding a sequence of functions , enables the approach to solving the problem with the desired accuracy. The above theorem and other as a byproduct, the results can be applied to research and find practical solutions of problems.

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