ABSTRACTVICTORIA LEIGH HAMILTON. Synthesis, Characterization, and Reactivity of Cross-Conjugated Frameworks. (Under the direction of MARKUS ETZKORN)Molecules with cross[...]

This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on li[...]

This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduc[...]

This dissertation is mainly a study of the center problem in the context of a family of three dimensional systems of ordinary differential equations of the form· {u} = &a[...]

We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist an[...]