Asymptotic expansion method for some nonlinear two point boundary value problems with rapidly oscillating coefficients

Nonlinear Analysis: Real World Applications

Volumn 8, Issue 5, 2007, Pages 1390-1397

  He, Wen ming ^a  

^a WENZHOU UNIVERSITY   (China)

Author keywords

Asymptotic expansion method; Nonlinear two point boundary value problems; Rapidly oscillating coefficients

Indexed keywords

BOUNDARY VALUE PROBLEMS; NONLINEAR SYSTEMS; PROBLEM SOLVING;

ASYMPTOTIC EXPANSION METHOD; NONLINEAR TWO POINT BOUNDARY VALUE PROBLEMS; RAPIDLY OSCILLATING COEFFICIENTS;

ASYMPTOTIC ANALYSIS;

EID: 34547114030     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.07.006     Document Type: Article

References (6)

1. Cioranescu D., and Paulin J.S.J. Homogenization of Reticulated Structures (1998), Springer, Berlin
2. Feng Y.P., and Cui J.Z. Multi-scale analysis and FE computation for the structure of composite materials with small periodic configuration under condition of coupled thermoelasticity. Int. J. Numer. Methods Eng. 60 11 (2004) 1879-1910
3. He W.-m., and Cui J.-z. Asymptotic expansion method for the two point boundary value problem with small periodic structure. Appl. Math. Comput. 161 (2005) 667-678
4. Hornung U. Homogenization and Porous Media (1996), Springer, Berlin
5. Oleinik O.A., Shamaev A.S., and Yosifian G.A. Mathematical Problems in Elasticity and Homogenization (1992), North-Holland, Amsterdam
6. Zhikov V.V., Kozlov S.M., and Oleinik O.A. Homogenization of Differential Operators and Integral Functionals (1994), Springer, Berlin