دورية أكاديمية

Generalized quazilinearization for systems of degenerate singular perturbation problems.

التفاصيل البيبلوغرافية
العنوان: Generalized quazilinearization for systems of degenerate singular perturbation problems.
المؤلفون: Abd-Ellateef Kamar, Ahmed R., Jankowski, Tadeusz
المصدر: Nonlinear Studies; 2013, Vol. 20 Issue 2, p273-279, 7p
مصطلحات موضوعية: PERTURBATION theory, BOUNDARY value problems, LINEAR differential equations, MATHEMATICAL analysis, MATHEMATICAL singularities
مستخلص: In this paper, we extend the method of generalized quasilinearization to systems of degenerate singular perturbation problems. We construct, under suitable conditions, monotone sequences of lower and upper approximate solutions which converge uniformly and quadratically to the unique solution of the system of degenerate singular perturbation problems. [ABSTRACT FROM AUTHOR]
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