ISSN:
1573-2754
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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Mathematics
,
Physics
Notes:
Abstract Some authors employed the method and technique of differential inequalities to obtain fairly general results concerning the existence and asymptotic behavior, as ɛ→∩+, of the solutions of scalar boundary value problems $$\varepsilon u'' = h(t, y), a〈 t〈 b, y(a, \varepsilon ) = A, y(b, \varepsilon ) = B$$ , In this paper, we extend these results to vector boundary value problems, under analogous stability conditions on the solutionu=u(t) of the reduced equationO=h(t,u). Two types of asymptotic behavior are studied, depending on whether the reduced solutionu(t) has or does not have a continuous first derivative in (a, b) leading to the phenomena of boundary and angular layers.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01904953
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