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Singularly Perturbed Semilinear Systems
Author(s) -
Howes F. A.
Publication year - 1979
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1979613185
Subject(s) - mathematics , mathematical analysis , invariant (physics) , singular perturbation , boundary value problem , perturbation (astronomy) , boundary (topology) , principal part , physics , mathematical physics , quantum mechanics
Solutions of a singularly perturbed vector boundary‐value problem are studied under the principal assumption that the trivial solution of the unperturbed equation is stable in certain senses. This is accomplished by constructing special invariant regions in which solutions display the kind of nonuniformity known as boundary‐layer behavior.