Transactions of the American Mathematical Society, Vol. 355, No. 12 (Dec., 2003), pp. 4985-5002 (18 pages) We study two classes of linear difference differential equations analogous to Euler-Cauchy ...

This is a preview. Log in through your library . Abstract A new method is given for solving the wave equation in space of any odd number of dimensions without making use of any device for evaluating ...

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

Purdue faculty dedicate countless hours to exploring the frontiers of their respective fields, pushing the boundaries of knowledge and contributing to the ever-evolving landscape of academia. To ...

The Cauchy problem for the Helmholtz equation has emerged as an important yet challenging subject in applied mathematics and engineering. This problem involves deducing interior solutions from ...