On the Solvability of Nonlinear Boundary Value Problems for the System of Differential Equations of Equilibrium of Shallow Anisotropic Timoshenko-Type Shells with Free Edges

2021 ◽  
Vol 57 (4) ◽  
pp. 488-506
Author(s):  
S. N. Timergaliev
Author(s):  
Rina Ling

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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