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The asymptotic solutions for a class of nonlinear singular perturbed differential systems with time delays
Han Xu1, Yinlai Jin1
1Science College, Linyi University, Linyi, Shandong 276005, China.
Abstract:
We study a kind of vector singular perturbed delay-differential equations. By using the methods of boundary function and fractional steps, we construct the formula of asymptotic expansion and confirm the interior layer at t = σ. Meanwhile, on the basis of functional analysis skill, the existence of the smooth solution and the uniform validity of the asymptotic expansion are proved.
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