Asymptotic expansions for the eigenvalues and the eigenfunctions of boundary value problems with rapidly oscillating coefficients in a layer

2000 ◽  
Vol 36 (6) ◽  
pp. 911-917
Author(s):  
A. Yu. Teplinskii
Keyword(s):  
Boundary Value Problems ◽  
Asymptotic Expansions ◽  
Boundary Value ◽  
Oscillating Coefficients

scholarly journals Singular perturbation for nonlinear boundary-value problems

1979 ◽  
Vol 2 (1) ◽  
pp. 61-68 ◽  
Author(s):  
Rina Ling
Keyword(s):  
Differential Equations ◽  
Singular Perturbation ◽  
Energy Distribution ◽  
Boundary Value Problems ◽  
Asymptotic Expansions ◽  
Nuclear Energy ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problems ◽  
Nonlinear Boundary Value

Asymptotic solutions of a class of nonlinear boundary-value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular-perturbation type and approximations are constructed by the method of matched asymptotic expansions.

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