The advent of new commitments by municipal, state and federal governments to construct and operate roadways whose tolls may be set dynamically has brought into sharp focus the need for a computable theory of dynamic tolls. By a computable theory we mean a mathematical representation which is detailed enough to capture the key behavioral and technological considerations relevant to dynamic tolli...

Given two conformal field theories related to each other by a marginal perturbation, and string field theories constructed around such backgrounds, we show how to construct explicit redefinition of string fields which relate these two string field theories. The analysis is carried out completely for quadratic and cubic terms in the action. Although a general proof of existence of field redefini...

Consider a multi−stage game where each player has a compact choice set and payoffs are continuous in all such choices. Harris, Reny and Robson (1995) prove existence of a subgame perfect equilibrium as long as a public correlation device is added to each stage. They achieve this by showing that the subgame perfect equilibium path correspondence is upper hemicontinuous. The present paper gives a...

Synopsis In this paper we show that in O(2) symmetric systems, structurally stable, asymptotically stable, heteroclinic cycles can be found which connect periodic solutions with steady states and periodic solutions with periodic solutions. These cycles are found in the third-order truncated normal forms of specific codimension two steady-state/Hopf and Hopf/Hopf mode interactions. We find these...

In Financial Mathematics the old problem of finding the price of derivatives (options, futures, etc.) leads to the study of Partial Differential Equations. The standard type of equations obtained are of parabolic type. In recent years, the complexity of the models used has increased and in turn this lead to more and more complicated equations for the derivative prices. Of particular interest in...

This work is devoted to prove the existence of weak solutions of the kinetic Vlasov—Poisson— Fokker—Planck system in bounded domains for attractive or repulsive forces. Absorbing and reflectiontype boundary conditions are considered for the kinetic equation and zero values for the potential on the boundary. The existence of weak solutions is proved for bounded and integrable initial and boundar...

This work describes an eeort to model the radio-frequency curing of epoxy adhesives in bonding of composites. We present a model based on the three-dimensional heat equation which includes nonlinear heat generating terms. A constructive proof of existence and uniqueness of solutions to our governing equations is given, providing a framework for the development of a computational method. Further...