Abstract
By standard barrier solution method associated with Schauder fixed point theorem, we establish an existence theory for nonlinear second order nonlinear multi-point boundary value problem $(1.3)$, $(1.4)$. Through the pervious existence theorem, we mainly work out some asymptotic behaviors of solutions for semilinear singularly perturbed three-point boundary value problem $(1.1)$, $(1.2)$. Barrier solutions will be constructed explicitly when the boundary or interior layers occur, respectively.
Citation
Sheng-Ping Wang. "SOME EXISTENCE RESULTS OF SEMILINEAR SINGULARLY PERTURBED NONLOCAL BOUNDARY VALUE PROBLEMS." Taiwanese J. Math. 18 (4) 1071 - 1087, 2014. https://doi.org/10.11650/tjm.18.2014.2860
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