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Due to the difficulty in processing polyimides with high temperature stability and good solvent resistance, we have synthesized high performance polyimides with bicyclo(2.2.2)-oct-7-ene ring system which can easily be fabricated into films and fibers and subsequently converted to the more stable aromatic polyimides. In order to improve processability, we prepared two polyimides by reacting 1,4-phenylenediamine and 1,3phenylediamine with bicyclo(2.2.2)-7-octene-2,3,5,6-tetracarboxylic dianhydride. The polyimides were characterized by FTIR, FTNMR, solubility and thermal analysis. Thermogravimetric analysis (TGA) showed that the 1,4-phenylenediamine and 1,3-phenylenediamine containing polyimides were stable up to 460 and 379 C, respectively under nitrogen atmosphere. No melting transitions were observed for both polyimides. The 1,4-phenylenediamine containing polyimide is partially soluble in dimethyl sulfoxide, methane sulfonic acid and soluble in sulfuric acid at room temperature. The 1,3-phenylenediamine containing polyimide is partially soluble in dimethyl sulfoxide, tetramethyl urea, N,N-dimethyl acetamide and soluble in methane sulfonic acid and sulfuric acid.

Due to the poor compressive strength properties of high performance liquid crystalline polymers such as polybenzobisoxazoles (PBOs) and polybenzobisthiazoles (PBTs), we have prepared homopolymers and copolymers with PBO and PBT pendant groups on a central star-like unit, 2.7-diamino-9,9'-bis(4-aminophenyl)fluorene, in order to improve upon their compressive strength properties. The fluorene moiety was prepared by the reaction of 2,7-dinitro-9-fluorene with aniline and aniline hydrochloride, followed by reduction with palladium on carbon. The central star-like unit was characterized by FTIR, FTNMR, and elemental analysis. The PBO and PBT pendant groups were synthesized by the polycondensation of 4,6-diaminoresorcinol dihydrochloride with terephthaloyl chloride and 2,5-diamino-1,4-benzendithiol dihydrochloride with terephthaloyl chloride in poly(phosphoric acid), respectively. The resulting linear polymers containing the dicarboxylic end groups were attached to the central star-like unit by refluxing with 2,7-diamino-9,9'-bis(4-aminophenyl) fluorene to give the star-like polymers. The star-like PBO and PBT were soluble in methanesulfonic acid. Further characterization of the polymers is ongoing.

Mickens (1981, 1984) has considered analytic techniques for obtaining approximate solutions to one-dimensional nonlinear oscillatory systems x(double-dot) + x = lambda f(x, x/dot/, lambda) where lambda is a small positive parameter and f is a nonlinear polynomial function of its arguments. However, in certain cases there is interest in the analysis of physical systems for which the nonlinear function f(x, x/dot/, lambda) is singular for finite values of x or x(dot). The present investigation is concerned with the use of existing approximate analytic schemes to obtain solutions to singular nonlinear oscillatory differential equations.