XU Jianzhong, WANG Weigang, MO Jiaqi. On a Class of High-Order Nonlinear Singular Perturbed Nonlocal Systems’ Steady State Robin Problem[J]. Applied Mathematics and Mechanics, 2020, 41(11): 1284-1291. doi: 10.21656/1000-0887.410049
Citation: XU Jianzhong, WANG Weigang, MO Jiaqi. On a Class of High-Order Nonlinear Singular Perturbed Nonlocal Systems’ Steady State Robin Problem[J]. Applied Mathematics and Mechanics, 2020, 41(11): 1284-1291. doi: 10.21656/1000-0887.410049

On a Class of High-Order Nonlinear Singular Perturbed Nonlocal Systems’ Steady State Robin Problem

doi: 10.21656/1000-0887.410049
Funds:  The National Natural Science Foundation of China(11771005)
  • Received Date: 2020-02-07
  • Publish Date: 2020-11-01
  • A class of high-order nonlinear integral-differential singular perturbation systems’ steady state Robin problem was discussed. Firstly, the theory of differential inequality for the high-order nonlinear nonlocal differential system was built. Then, the outer solution to the problem was structured and the boundary layer corrective term was obtained by means of the local coordinate system. Thus the formal asymptotic expansion of the solution was got. Finally, the uniform validity of the asymptotic expansion of the solution was proved with the theory of differential inequality.
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