Weakly nonlinear boundary-value problem in a special critical case
AbstractWe 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.
How to Cite
Chuiko, S. M. “Weakly Nonlinear Boundary-Value Problem in a Special Critical Case”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 4, Apr. 2009, pp. 548-62, https://umj.imath.kiev.ua/index.php/umj/article/view/3039.