Asymptotic expansion of the solution for nonlinear wave equation with mixed non-homogeneous conditions

• Autorzy: Long N. T. , Dinh A. P. N. , Diem T. N.
• Języki publikacji: EN

Słowa kluczowe

EN

weak solution; perturbed problem; linear differential equations; asymptotic expansion

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 3
• Strony: 683--695
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Long N. T.

• Department of Mathematics and Computer Science, University of National Science, Vietnam National University, Hochiminh City, District 5, Ho Chi Minh City, Vietnam

autor

Dinh A. P. N.

• Mapmo, UMR 6628, Bâtiment de Mathématiques, Université D'Orléans, BP 6759 Orléans Cedex 2, France

autor

Diem T. N.

• Department of Mathematics and Computer Science, University of National Science, Vietnam National University, Hochiminh City, District 5, Ho Chi Minh City, Vietnam

Bibliografia

• [1] J. Boujot, Alain Pham Ngoc Dinh, J. P. Veyrier, Oscillateurs harmoniques faiblement perturbés: L'algorithme numérique des "par de géants" RAIR O, Analyse Numérique 14 (1980), 3-23.
• [2] Alain Pham Ngoc Dinh, Sur un problème hyperbolique faiblement non-linéaire en dimension 1, Demonstratio Math. 16 (1983), 269-289.
• [3] Alain Pham Ngoc Dinh, Nguyen Thanh Long, Linear approximation and asymptotic expansion associated to the nonlinear wave equation in one dimension, Demonstratio Math. 19 (1986), 45-63.
• [4] Nguyen Thanh Long, Tran Ngoc Diem, On the nonlinear wave equation utt - uxx = f(x,t,u,ux,ut) associated with the mixed homogeneous conditions, Nonlinear Anal. 29 (1997), 1217-1230.
• [5] Nguyen Thanh Long, Alain Pham Ngoc Dinh, Tran Ngoc Diem, Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator, J. Math. Anal. Appl. 267 (2002), 116-134.