Asymptotic theory of second order differential equations with two simple turning points

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46172/1/205_2004_Article_BF00277924.pd

Remarks on bang-bang control in Hilbert space

In this note, a natural definition of bang-bang control in Hilbert space is given, and some of the theory of the authors' paper (Ref. 1) is rebuilt upon it. An elliptic boundary-value problem illustrating the theory is given. In the last part of this note, the results of Ref. 1 are extended to nonlinear perturbations of linear operators and to homogeneous nonlinear operators.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45189/1/10957_2004_Article_BF00934808.pd

Analystic inequalities

vii, 89 p.; 24 cm

Analytic Inequalities

vii, 89 tr. ; 22 cm

Asymptotic solution of ordinary differential equations : final report

http://deepblue.lib.umich.edu/bitstream/2027.42/5915/5/bac5621.0001.001.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/5915/4/bac5621.0001.001.tx

Analytic inequalities

vii+89hlm.;22c

On existence of compound perfect squared squares of small order

A compound perfect squared square must contain at least 22 subsquares. The proof utilizes elementary combinatoric and graph theoretic arguments and an extensive computer search.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/33904/1/0000169.pd

On the universal sequence generated by a class of unimodal functions

AbstractThe universality of the Metropolis, Stein, and Stein (MSS). sequence (J. Combin. Theory 15 (1973), 25–44) is established for a wide class of unimodal functions. The standard value of an LR-sequence is defined and a computational formula for it is established. An order on all finite LR-sequences is defined. It is shown that this order is equivalent to the order of Collet and Eckman (CE) (“Iterated Maps on the Interval as Dynamcal Systems,” Birkhauser, Boston, 1980), Louck and Metropolis (“Symbolic Dynamics of Trapezoidal Maps,” Reidel-Kluwer, Hingham, Ma, 1986) and Beyer, Mauldin, and Stein (BMS), (J. Math.Anal. Appl. 115 (1986), 305–362). The contiguity of harmonics is proved for any finite LR-sequence: Finally using an important result of BMS, it is shown that a pattern is legal if and only if it is a pattern associated with a positive solution λ of , the sequence of equations [λf]k(yo)=y0 (k= 1, 2,…)

Scalar diffraction by an elliptic cylinder

http://deepblue.lib.umich.edu/bitstream/2027.42/5916/5/bac5619.0001.001.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/5916/4/bac5619.0001.001.tx