Abstract
In this chapter, we gather a number of analytical properties for singularly perturbed boundary-value problems for second-order ordinary differential equations of the general type
with a small positive parameter ε and functions b, c, f : [0, 1] → IR, and of its vector-valued counterpart
with \( E = \text{diag}(\in ),\in = (\in _1 ,....,\in _\ell )^T \) and small positive constants \(\in _i ,i = 1,...,\ell ,\) with matrix-valued functions A, B : \( [0,1] \to IR^{\ell ,\ell } ,\), and vector-valued functions \( f,u:[0,1] \to IR^\ell \).
Keywords
- Differential Operator
- Analytical Behaviour
- Comparison Principle
- Coupling Matrix
- Solution Decomposition
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© 2010 Springer-Verlag Berlin Heidelberg
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Linß, T. (2010). The Analytical Behaviour of Solutions. In: Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems. Lecture Notes in Mathematics(), vol 1985. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05134-0_3
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DOI: https://doi.org/10.1007/978-3-642-05134-0_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05133-3
Online ISBN: 978-3-642-05134-0
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