Singularly Perturbed Systems
In this chapter we turn our attention to some vector boundary value problems which may be regarded as vector analogs of the scalar problems. However, as the reader will see, our results for vector problems are very incomplete, especially in comparison with the scalar theory. The study of singularly perturbed vector second-order equations is in its infancy, and we hope that this chapter will serve to draw attention to some of the associated difficulties. Indeed, many fundamental questions concerning vector equations or systems have yet to be raised, let alone answered.
KeywordsDirichlet Problem Scalar Theory Vector Problem Vector Boundary Smooth Positive Function
Unable to display preview. Download preview PDF.