Singular perturbation solution of boundary-value problem for a secord-order differential-difference equation
Copyright policy )Singular perturbation solution of boundary-value problem for a secord-order differential-difference equation
In this note a boundary value problem for a second order singularly perturbed differential-difference equation is considered. The asymptotic expansions of the formal solution in six boundary layer regions are constructed using the method of two-variables expansion. An error of the obtained formal solution is estimated and its asymptotic behaviour is proved.
- East China Normal University China (People's Republic of)
boundary layer regions, asymptotic expansions, second order singularly perturbed differential-difference equation, second order differential-difference equation, Perturbations, asymptotics of solutions to ordinary differential equations, Boundary value problems for functional-differential equations, error estimates, boundary value problem, Singular perturbations for ordinary differential equations, Asymptotic expansions of solutions to ordinary differential equations, method of two-variables expansion, asymptotic solution
boundary layer regions, asymptotic expansions, second order singularly perturbed differential-difference equation, second order differential-difference equation, Perturbations, asymptotics of solutions to ordinary differential equations, Boundary value problems for functional-differential equations, error estimates, boundary value problem, Singular perturbations for ordinary differential equations, Asymptotic expansions of solutions to ordinary differential equations, method of two-variables expansion, asymptotic solution
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