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Interior layer behavior of solutions of nonlinear boundary value problems for a class of $$n$$th order equations. (Chinese. English summary) Zbl 0970.34524
Summary: Using the theory of differential inequalities, we consider the nonlinear boundary value problem for a class of $$n$$th order equations. Under appropriate conditions, we obtain the existence and the asymptotic behavior of the solutions which exhibits interior layer behavior.
MSC:
 34E15 Singular perturbations, general theory for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations