Characteristic parameter values for an integral equation

Integral Equation Analysis with Characteristic Basis Functions

Clustering Parameter Values for Differential Equation Models of Biological Pathways

Dynamics of many biological systems can be modeled in the form of nonlinear differential equations, where variables represent concentrations of participating molecular species, and parameters specify dynamics coefficients such as reaction rates and activity levels. It has been one of the hardest problems to determine right parameters even after we have acceptable model equations for a particula...

On an Integral Equation

In the recent paper [2], the authors obtained new proofs on the existence and uniqueness of the solution of the Volterra linear equation. Applying their results, in this paper we express the exact and approximate solution of the equation in the field of Mikusi´nski operators, F, which corresponds to an integro–differential equation.

An Integral Evolution Formula for theWave Equation

An Integral Evolution Formula for the Wave Equation Bradley Alpert,∗,1 Leslie Greengard,†,2 and Thomas Hagstrom‡,3 ∗National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80303,†Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012-1110, and ‡Department of Mathematics and Statistics, University of New Mexico, Albuqu...

An Effective Criterion for Eulerian Multizeta Values in Positive Characteristic

Characteristic p multizeta values were initially studied by Thakur, who defined them as analogues of classical multiple zeta values of Euler. In the present paper we establish an effective criterion for Eulerian multizeta values, which characterizes when a multizeta value is a rational multiple of a power of the Carlitz period. The resulting “t-motivic”algorithm can tell whether any given multi...