Browsing Mathematics by Author "Pravica, David W."
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Applications of Stochastic Processes to Cancer Research
Steely, Kristin Michelle (East Carolina University, 2013)The purpose of this thesis is to implement stochastic models that are currently used to analyze the impact of different drug treatments on cancer and to model drug resistance by cancer cells. Mathematical models are used ... -
The Effect of the Mathematics of Finance on the Dynamics of a Credit Economy
Bennett, Jessica J. (East Carolina University, 2012)The general equilibrium theory of J.M. Keynes was developed in the 1930's to help explain the great depression and prevent future economic downturns. Out of this came the IS-LM (investment saving/liquid money) model, ... -
Financial Market Analysis Using a Kinetics Model
Brown, Frank R., Jr. (East Carolina University, 2013)Over the past several decades physicists have used models and techniques that were developed in the sciences in order to analyze the price and volume behavior of financial markets. These models and techniques ... -
Mathematical Analysis of Tsunami and Rogue Waves
Eidschun, Bradley (East Carolina University, 2012)In this thesis both forced and non-linear wave equations will be studied. Actual data from tsunami and rogue waves will be used and a signal analysis will be performed using wavelets. Main results show that a different ... -
Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms
Pravica, David W.; Randriampiry, Njinasoa; Spurr, Michael J. (2022-07-07)For a wide class of solutions to multiplicatively advanced differential equations (MADEs), a comprehensive set of relations is established between their Fourier transforms and Jacobi theta functions. In demonstrating this ... -
Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms
Pravica, David W.; Randriampiry, Njinasoa; Spurr, Michael J. (2022)