Weakly nonlinear boundary-value problem in a special critical case |
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Authors: | S M Chuiko |
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Institution: | 1.Slavyansk Pedagogic University,Slavyansk,Ukraine |
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Abstract: | We investigate the problem of the determination of conditions for the existence of solutions of weakly nonlinear Noetherian
boundary-value problems for systems of ordinary differential equations and the construction of these solutions. We consider
the special critical case where the equation for finding the generating solution of a weakly nonlinear Noetherian boundary-value
problem turns into an identity. We improve the classification of critical cases and construct an iterative algorithm for finding
solutions of weakly nonlinear Noetherian boundary-value problems in the special critical case. |
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