Methods for the solution of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions

We establish conditions for the existence of solutions of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions. We also substantiate the applicability of iterative and projection-iterative methods for the solution of these problems.

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Bibliographische Detailangaben
Datum:2009
Hauptverfasser: Luchka, A. Y., Nesterenko, O. B., Лучка, А. Ю., Нестеренко, О. Б.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3049
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We establish conditions for the existence of solutions of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions. We also substantiate the applicability of iterative and projection-iterative methods for the solution of these problems.