Rakhim Aitbayev
Abstract:
We obtain sufficient conditions, easily verifiable, for the existence
and uniqueness of piecewise smooth solutions of a linear two-point
boundary-value problem with general interface conditions.
The coefficients of the differential equation may have jump discontinuities
at the interface point. As an example, the conditions obtained are
applied to a problem with typical interface such as perfect
contact, non-perfect contact, and flux jump conditions.
Submitted August 23, 2013. Published October 31, 2013.
Math Subject Classifications: 34B05, 34B10.
Key Words: Interface conditions; transmission conditions;
two-point boundary value problem; discontinuous coefficients;
existence and uniqueness
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Rakhim Aitbayev Department of Mathematics New Mexico Institute of Mining and Technology Socorro, New Mexico 87801, USA email: aitbayev@nmt.edu |
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