We derive Wiman’s asymptotic formula for the number of generalized zeros of (nontrivial) solutions of a second order dynamic equation on a time scale. The proof is based on the asymptotic representation of solutions via exponential functions on a time scale. By using the Jeffreys et al. approximation we prove Wiman’s formula for a dynamic equation on a time scale. Further we show that using the...

The Hartman interferometer, a proprietary integrated optic sensor, provides a basis for a broad range of biomedical diagnostics, including antibody-based and gene probe-based assays. As with other evanescent-wave optical sensors, the interferometer measures the refractive index change resulting from biomolecular binding on a waveguide surface. The exciting promise of evanescent-wave sensors lie...

1 Joaquin A. Vila, Illinois State University, Applied Computer Science Department 5150, Normal, IL 61790-5150 [email protected] Janet D. Hartman, Illinois State University, Applied Computer Science Department 5150, Normal, IL 61790-5150 [email protected] Abstract -The introduction of high speed computers with excellent graphic rendering capabilities and software that takes advantage of...

The behavior of the Darcy–Forchheimer flow a double-hybrid nanofluid toward Riga plate with radiation and heat source/sink effects is investigated. two different hybrid nanofluids, (Al2O3 Ag) TiO2) base fluid (H2O), are considered. governing models accompanying boundary constraints reshaped into non-linear ODEs by applying symmetry variables. numerically computed using Bvp4c in Matlab ND solver...