Spectral analysis for differential operators with singularities by Vjacheslav Anatoljevich Yurko

“…We study properties of the spectrum, prove the completeness of eigen- and associated functions, and investigate the inverse problem of recovering the boundary value problem from its spectral characteristics.…”
Get full text

Theorems on the zeros of linear differential operators by A.I. Fomin, V.I. Titarenko

“…The results obtained in this work can serve as the basis for proving a number of theorems on the zeros of linear differential operators, in particular, formal theorems over the ring of infinitely differentiable functions.…”

Fuzzy Conformable Fractional Differential Equations by Atimad Harir, Said Melliani, Lalla Saadia Chadli

“…In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential equation by using the concept of conformable differentiability. …”
Get full text

Metabolic‐Immune Suppression Mediated by the SIRT1‐CX3CL1 Axis Induces Functional Enhancement of Regulatory T Cells in Colorectal Carcinoma by Ruiyang Zi, Xiang Zhao, Limei Liu, Yijie Wang, Rui Zhang, Zhiheng Bian, Haoran Jiang, Taorui Liu, Yixin Sun, Han Peng, Xuesong Wang, Fanghao Lu, Chao Zhang, Fan Zhang, Qing Qin, Houjie Liang, Jianjun Li, Zhihao Wei, Yan Dong

“…Here, it is found that upregulated SIRT1 in CRC cells increases Treg functionality by promoting the secretion of CX3CL1. The CX3CL1‐CX3CR1 signaling activated transcription factors SATB1 and BTG2, promoting the differentiation of TCF7+ Treg cells into functionally enhanced TNFRSF9+ Treg cells. …”
Get full text

Heterogeneous Differential Evolution for Numerical Optimization by Hui Wang, Wenjun Wang, Zhihua Cui, Hui Sun, Shahryar Rahnamayan

“…Experiments are conducted on a comprehensive set of benchmark functions, including classical problems and shifted large-scale problems. …”
Get full text

Approximate Time-Fractional Differential Equations by Saber Tavan, Mohammad Jahangiri Rad, Ali Salimi Shamloo, Yaghoub Mahmoudi

“…This study introduces an indirect approach to find the solutions of the fractional Bessel differential equation using fractional Bernoulli functions and Caputo’s fractional derivative. …”
Get full text

Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method by Amal Alhassan, Radhi Ali Zaboon, Shatha Alhily

“…This paper presents two-dimensional differential transform for the complex partial derivatives of higher orders for a complex functions of two complex independent variables, and then use these complex partial derivatives to find an exact solution to a complex partial differential equation of the fourth order using two-dimensional differential transform method.…”
Get full text

Uniqueness of Positive Solutions for a Perturbed Fractional Differential Equation by Chen Yang, Jieming Zhang

Get full text

On Smoothness in Lp, 0 < p < 1 by A. N. Morozov

“…We discuss properties of functions which are covered by spreading the differentiation operator from the space W₁¹.…”
Get full text

Propagation of optical spatial solitons in nematic liquid crystals with quadruple power law of nonlinearity appears in fluid mechanics by Yousaf Muhammad Zain, Abbas Muhammad, Lupas Alina Alb, Abdullah Farah Aini, Iqbal Muhammad Kashif, Alharthi Muteb R., Hamed Yasser S.

“…This approach translates a coupled non-linear partial differential equation into a coupled ordinary differential equation through implementing a traveling wave conversion. …”
Get full text

An advanced method of interpolation of short-focus electron beams boundary trajectories using higher-order root-polynomial functions and its comparative study by Igor Melnyk, Alina Pochynok, Mykhailo Skrypka

Get full text

Deciphering the dynamic expression network of fiber elongation and the functional role of the GhTUB5 gene for fiber length in cotton based on an introgression population of upland... by Jianjiang Ma, Liupeng Yang, Yuanyue Dang, Kashif Shahzad, Jikun Song, Bing Jia, Li Wang, Juanjuan Feng, Nuohan Wang, Wenfeng Pei, Man Wu, Xuexian Zhang, Jinfa Zhang, Jianyong Wu, Jiwen Yu

“…However, the dynamic gene regulatory network of FL-related genes has not been characterized, and the functional mechanism through which the hub gene GhTUB5 mediates fiber elongation has yet to be determined. …”
Get full text

Home settings are associated with less functional decline among older adults compared to community-care foster homes and skilled nursing facilities in Hawaii. by Hua Zan, Yanyan Wu, Yan Luo, John P Barile, Joshua R Holmes, Joy Agner

“…There is very little research on adult foster homes, and it remains unclear whether adult foster homes are associated with differential rates of functional decline over time compared to private homes or nursing homes. …”
Get full text

cDNA-AFLP-based transcript profiling for the identification of genes functionally related to growth in the pond-reared giant tiger shrimp Penaeus monodon by Rachanimuk Hiransuchalert, Apirak Chaimeanwong, Patchari Yocawibun, Parichat Chumtong, Natechanok Thamniemdee, Walailuk Thungkoon, Vasin Yuvanatemiya, Bavornlak Khamnamtong, Sirawut Klinbunga

“…Our results indicated that cDNA-AFLP has the potential for use in the isolation of functionally important transcripts in P. monodon.…”
Get full text

Translocation of a Bak C-terminus mutant from cytosol to mitochondria to mediate cytochrome C release: implications for Bak and Bax apoptotic function. by Pedro Eitz Ferrer, Paul Frederick, Jacqueline M Gulbis, Grant Dewson, Ruth M Kluck

“…Replacing the Bak C-segment with that from Bax rescued stability and function, but unexpectedly resulted in a semi-cytosolic protein, termed Bak/BaxCS. …”
Get full text

Targeted modification of the Per2 clock gene alters circadian function in mPer2luciferase (mPer2Luc) mice. by Martin R Ralph, Shu-Qun Shi, Carl H Johnson, Pavel Houdek, Tenjin C Shrestha, Priya Crosby, John S O'Neill, Martin Sládek, Adam R Stinchcombe, Alena Sumová

“…Modification of the Per2 clock gene in mPer2Luc reporter mice significantly alters circadian function. Behavioral period in constant dark is lengthened, and dissociates into two distinct components in constant light. …”
Get full text

Targeting Alzheimer's disease with novel dual-function 3,5-diaryl-4,5-dihydro-1H-pyrazole-1-carbothioamide derivatives by Aikaterini Katsogiannou, Danai Karta, Antonio Di Stefano, Sena Oner, Mehmet Enes Arslan, Adil Mardinoglu, Hasan Turkez, Stamatia Vassiliou, Ivana Cacciatore

Get full text

Effects of different lactic acid bacteria fermentation on active substances and functional characteristics of honeysuckle liquid: analysis of metabolites of honeysuckle liquid base... by Jing Yang, Hanhan Shi, Lili Cai, Sensen Zhang, Yuanzeng Zhao, Xiaojia Su, Haiyan Sun, Yinping Cao, Yongchao Li

“…In order to study the effects of lactic acid bacteria on the active substances and functions of honeysuckle, metabolomics was used to analyze the differential metabolites of honeysuckle fermented by lactic acid bacteria. …”
Get full text

Role of <i>opuB</i> in Modulating Membrane Vesicle Composition and Function in <i>Streptococcus mutans</i> Under Neutral and Acidic Conditions by Wenyu Wang, Yiyi Huang, Huancai Lin, Yina Cao

Get full text

Impact of Phase Angle Jump on a Doubly Fed Induction Generator under Low-Voltage Ride-Through Based on Transfer Function Decomposition by Peiru Feng, Jiayin Xu, Zhuang Wang, Shenghu Li, Yuming Shen, Xu Gui

“…Firstly, the differential-algebraic equations of the DFIG are linearized to propose their transfer function model. …”
Get full text