Numerical-analytical method in the case of degenerate matrices in boundary conditions

A modification of the numerical analytic method of successive approximations is proposed for investigating the existence and constructing solutions of systems of nonlinear ordinary differential equations with two-point linear boundary conditions. The method is tailored to the case where the matrices...

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Datum:1992
Hauptverfasser: Ronto , N. I., Ронто , Н. И.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/7964
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:A modification of the numerical analytic method of successive approximations is proposed for investigating the existence and constructing solutions of systems of nonlinear ordinary differential equations with two-point linear boundary conditions. The method is tailored to the case where the matrices contained in boundary conditions are singular, but their linear combination is nonsingular.