Linear approximation and asymptotic expansion associated with the system of nonlinear functional equations

• Autorzy: Ngoc L. T. P. , Dung H. T. H. , Danh P. H. , Long N. T.
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the study of the following perturbed system of nonlinear functional equations (…) , where ε is a small parameter, aijk; bijk are the given real constants, Rijk; Sijk; Xijk : (…) are the given continuous functions and (…) are unknown functions. First, by using the Banach fixed point theorem, we find sufficient conditions for the unique existence and stability of a solution of (E). Next, in the case of (…) ; we investigate the quadratic convergence of (E). Finally, in the case of (…) and ε sufficiently small, we establish an asymptotic expansion of the solution of (E) up to order N + 1 in ε. In order to illustrate the results obtained, some examples are also given.

Słowa kluczowe

EN

system of nonlinear functional equations; converges quadratically; perturbed problem; asymptotic expansion

PL

system nieliniowych równań funkcyjnych; zbieżność kwadratowa; ekspansja asymptotyczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 1
• Strony: 103--124
• Opis fizyczny: Bibliogr 17 poz.

Twórcy

autor

Ngoc L. T. P.

• Nhatrang Educational College, 01 Nguyen Chanh Str. Nhatrang City, Vietnam

autor

Dung H. T. H.

• Department of Mathematics, University of Architecture of Ho Chi Minh City, 196 Pasteur Str., Dist. 3 Ho Chi Minh City, Vietnam

autor

Danh P. H.

• Department of Mathematics Statistics and Informatics, University of Economics of Ho Chi Minh City, 59c Nguyen Dinh Chieu Str., Dist. 3 Ho Chi Minh City, Vietnam

autor

Long N. T.

• Department of Mathematics and Computer Science University of Natural Science, Vietnam National University Ho Chi Minh City, 227 Nguyen Van Cu Str., Dist. 5 Ho Chi Minh City, Vietnam

Bibliografia

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