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In the last century many problems which arose in the science, engineer ing and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differ ential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general exis tence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular pro...
The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.
Increasing competitive pressure for improved quality and efficiency on one hand and tightening emissions and operating requirements on the other leave the modern process engineer squeezed in the middle. While effective modeling can help balance these demands, the current literature offers overly theoretical treatments on modeling that do not transl
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Pamphleteering was a vital component of the popular political discussion opened up by the French Revolution of 1789, but while the English pamphlet wars have been exhaustively explored, Welsh pamphlet literature has been ignored. During the fifteen years following the French Revolution of 1789, over 100 Welsh pamphlets and sermons engaged in a public discourse which discussed the larger issues raised by the Revolution and the war against the French Republic. This pioneering volume seeks to capture the excitement of the period by demonstrating how radicals and loyalists, Dissenters, Methodists and Churchmen, pacifists and warmongers engaged in a lively argument in their published works. An in-depth essay reviews and interprets texts written by artisans, Dissenting ministers, country curates and Anglican bishops, who all used religion as politics; promoted war or peace; argued over republicanism and loyalism, and utilized the law as a stage for political ideas. All texts are fully translated and thus made accessible to an English-speaking audience for the first time.
The 19th European Symposium on Computer Aided Process Engineering contains papers presented at the 19th European Symposium of Computer Aided Process Engineering (ESCAPE 19) held in Cracow, Poland, June 14-17, 2009.The ESCAPE series serves as a forum for scientists and engineers from academia and industry to discuss progress achieved in the area of CAPE.* CD-ROM that accompanies the book contains all research papers and contributions * International in scope with guest speeches and keynote talks from leaders in science and industry * Presents papers covering the latest research, key top areas and developments in computer aided process engineering (CAPE)
This study compares the dental manuals of seven state Medicaid programs with a set of basic dental services, which comprise shared components of various well-accepted dental guidelines, to see if states allow these services to children eligible for Medicaid. It also surveys dentists in each state to see if they provide those basic services and what problems they encounter in trying to provide them.
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.