Neutral Equations of Mixed Type

In this dissertation we consider neutral equations of mixed type. In particular, we con- sider the associated linear Fredholm theory and nerve fiber models that are written as systems of neutral equations of mixed type. In Chapter 2, we extend the existing Fredholm theory for mixed type functional differential equations developed by Mallet-Paret to the case of implicitly defined mixed type functional differential equations. In Chapter 3, we apply the theory to an example arising from modeling signal prop- agation in nerve fibers. In this two-dimensional system, we rely on the Lyapunov- Schmidt method to demonstrate the existence of traveling wave solutions. With the aid of numerical computations, a saddle-node bifurcation was detected. In Chapter 4, we consider an extension of the parallel nerve fiber model examining in Chapter 3 and present the results of a numerical study. In this chapter, an additional form of coupling is examined not considered in the model from Chapter 3. This second type of coupling may be excitatory or inhibitory depending on the sign of the coupling parameter. Within a continuation framework, we employ a pseudo-spectral approach utilizing Chebyshev polynomials as basis functions. The chebfun package, consisting of Chebyshev tools, was utilized to manipulate the polynomials

Administrative Coordination in Civil Rights Enforcement: A Regional Approach

The failure of traditional coordinative efforts among federal agencies suggests that new and different approaches are imperative. This Article has emphasized a regional approach for solving these problems. Experience has shown that even well-intentioned and capable administrators in Washington cannot alone ensure compliance with the federal civil rights laws. They must have the full support of key regional officials of the federal government, and they must have a certain degree of cooperation from state and local officials. One means of gaining this support and assistance is through the Councils, which bring together in one forum high-level federal, state, and local policymakers. While the past performance of the FRCs in coordinating civil rights programs has been mediocre in some areas, this record can be improved substantially through forceful presidential leadership and through the regular application by Council member agencies of legal sanctions for noncompliance with the civil rights laws. The two areas suggested in this Article for priority FRC coordination are equal employment opportunity and the federal grant-making process

Judicial Restraint Reappraised

This article is a revised version of the author\u27s chapter in the forthcoming book, S. Halpern & C. Lamb, eds., Supreme Court Activism and Restraint. (Lexington Books, D.C. Heath and Company)