Paper of Special Issue of Appl Math Mech on 20th Anniversary
A new method is applied to study the asymptotic behavior of solutions of boundary value problems for a class of systems of nonlinear differential equations u″=v, εv″+f(x, u, u′)v′−g(x, u, u′)v=0 (0<ε≪1). The asymptotic expansions of solutions are constructed, the remainders are estimated. The former works are improved and generalized.
system of nonlinear differential equations boundary value problems asymptotic solution
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