Under Construction
1. A selfadjoint "Simultaneous Crossing of the Axis," Proceedings of
the Georgian Academy of Sciences (1993), 1: 197-206.
Can one manipulate the ends of a vibrating string so as to
obtain a "simultaneous crossing of the axis? Yes, if you are willing to
shorten the string at the same time.
2. Estabilshing Hyperbolic Green's Functions via Leibniz's Rule, SIAM
Review (1991), 33: 101-105.
Selfadjoint boundary value problems corresponding to hyperbolic
PDEs? Surely you are joking Mr. Kreith.
3. Sturm-Liouville Oscillations in the Presence of Strong Impulses,
Colloquia Societatis Janos Bolyai (1986), 47: 573-589.
An extension of a Sturmian comparison theorem to generalized
solutions that may be discontinuous.
4. Lower Estimates for Zeros of Stochastic Sturm-Liouville Problems,
Proceedings of the American Mathematical Society (1984), 92: 515-518.
Zeros of solutions of a stochastic S-L equation are random
variables. Interesting relationships exist between their expected
values and the zeros of a related deterministic S-L equation.
5. PDE Generalizations of the Sturm Comparison Theorem, Memoirs of the
American Mathematical Society (1984), 48: 31-46.
A digression into historical aspects of Sturmian theory and its
relation to the calculus of variations.