Quasilinearization Method for Functional Differential Equations with Delayed Arguments

Agnieszka Dyki

doi:10.36045/bbms/1323787168

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Home > Journals > Bull. Belg. Math. Soc. Simon Stevin > Volume 18 > Issue 5 > Article

december 2011 Quasilinearization Method for Functional Differential Equations with Delayed Arguments

Agnieszka Dyki

Bull. Belg. Math. Soc. Simon Stevin 18(5): 805-819 (december 2011). DOI: 10.36045/bbms/1323787168

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Abstract

We apply the quasilinearization method to boundary value problems for first order functional differential equations with delayed arguments. We formulate sufficient conditions for semi-quadratic or quadratic convergence of corresponding monotone sequences to a unique solution.

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Agnieszka Dyki. "Quasilinearization Method for Functional Differential Equations with Delayed Arguments." Bull. Belg. Math. Soc. Simon Stevin 18 (5) 805 - 819, december 2011. https://doi.org/10.36045/bbms/1323787168

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Published: december 2011

First available in Project Euclid: 13 December 2011

zbMATH: 1364.34018

MathSciNet: MR2918647

Digital Object Identifier: 10.36045/bbms/1323787168

Subjects:

Primary: 34A45 , 34B15

Keywords: Functional differential equations , Quadratic Convergence , quasilinearization , semi-quadratic convergence

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Bull. Belg. Math. Soc. Simon Stevin

Vol.18 • No. 5 • december 2011

The Belgian Mathematical Society

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Agnieszka Dyki "Quasilinearization Method for Functional Differential Equations with Delayed Arguments," Bulletin of the Belgian Mathematical Society - Simon Stevin, Bull. Belg. Math. Soc. Simon Stevin 18(5), 805-819, (december 2011)

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