On stability of the third order partial delay differential equation with involution and Dirichlet condition

In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem is presented. Stability estimates for the solution of this difference scheme are proved. Numerical results are provided.

Effects of Drying Temperatures on the Occurrence of Sticker Stain in Japanese Cedar (Cryptomeria japonica D. Don)

Sticker stain is a material defect that results from moisture migration during wood drying, often spoiling the appearance of the surface of wood products. The effect of drying temperatures on the occurrence of surface sticker stain was investigated using Japanese cedar (Cryptomeria japonica D. Don) and three types of stickers (air-dried Japanese cedar, aluminum, and stainless steel) under four drying temperatures (20°C, 50°C, 75°C, and 100°C). At lower drying temperatures, the air-dried wood sticker tended to suppress the occurrence of surface sticker stains, whereas higher temperature or metal stickers produced sticker stains with deep color. However, no definitive relation was shown between the initial moisture content and the extent of sticker stain with deep color regardless of drying temperatures. It was considered that the partial delay of drying happened around the contact area with stickers, especially in cases of metal stickers. It was also found that the use of metal stickers at higher drying temperatures induced depressions in Fourier transform infrared spectra related to the occurrence of hygrothermal conditions.

Forced oscillation of conformable fractional partial delay differential equations with impulses

In this paper, we establish some interval oscillation criteria for impulsive conformable fractional partial delay differential equations with a forced term. The main results will be obtained by employing Riccati technique. Our results extend and improve some results reported in the literature for the classical differential equations without impulses. An example is provided to illustrate the relevance of the new theorems.

Accumulate-Repeat-Delay-Partial-Delay Codes

Inspired by Accumulate-Repeat-Accumulate (ARA) codes, in this letter we propose a new channel coding scheme called Accumulate-Repeat-Delay-Partial-Delay (ARDPD) codes. Contrary to ARA codes, ARDPD codes simultaneously achieve good threshold and linear minimum distance. Based on EXIT for LDPC codes, we show that for maximum variable node degree 5, the threshold of ARDPD codes outperforms the best known unstructured irregular LDPC codes. Iterative decoding simulation results show that the proposed codes perform as predicted.