Results 101 to 110 of about 4,643,635 (279)

Charef rational approximation of fractional operators and singular properties of novel scale equations

四川大学学报. 自然科学版, 2022
According to the single-fraction power pole and zero model of the Charef rational approximation of the fraction operator, two new types of non-normal scaling equations-the novel scaling equation are introduced, which are used to characterize the limit ...
XIE Yu-Jing, YUAN Xiao
doaj  

A Novel Modified Petroresin Particle (MPRP) With Enhanced Oil–Water Selectivity for Cold Production in Heavy Oil Reservoirs

Advanced Functional Materials, EarlyView.
A novel oil–water selective conformance control agent, MPRP, is prepared via hydrophilic grafting and mechanical granulation. MPRP uniformly disperses in water, cohesively expands upon aging, and readily dissolves in the oil phase. During conformance control, it selectively aggregates in water channeling pathways to form effective plugs without ...
Guang Zhao, Dongfang Lv, Chang Liu, Changxu Wu, Yifei Liu, Caili Dai, Huazhou Li   +6 more
wiley   +1 more source

Qualitative behavior of higher-order rational difference systems: positivity, asymptotic behavior, and periodicity

Journal of Inequalities and Applications
This paper gives explicit positive solutions for several higher-order and higher-dimensional systems of rational difference equations (RDEs). We study how solutions behave over time for a wide range of initial data in ( 0 , ∞ ) $(0,\infty )$ , and we ...
Abdul Khaliq, Emad Solouma, Syed T. R. Rizvi, Asma Awan, A. H. Tedjani, Aly R. Seadawy   +5 more
doaj   +1 more source

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Journal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti   +2 more
doaj   +1 more source

Biodegradable and Biocompatible Functional Polymers for Biomedical Applications

Advanced Functional Materials, EarlyView.
Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han, Shuvra Mondal, Sungkeun Han, Chan‐Hwi Eom, Venkata Ramesh Naganaboina, Suk‐Won Hwang   +5 more
wiley   +1 more source

Tough and Skin‐Free Porous Polyelectrolyte Complex Hydrogels via Salt‐Induced Aqueous Phase Separation

Advanced Functional Materials, EarlyView.
Controlling counterion exchange rate during aqueous phase separation enables the formation of skin‐free, homogeneously porous polyelectrolyte complex hydrogels by suppressing kinetically trapped skin layers and macrovoids. The resulting hydrogel networks exhibit exceptional toughness (∼15 MJ·m−3) and enable 3D (bio)printing and post‐functionalization ...
Adrivit Mukherjee, Vishakha Vishakha, Julien Es Sayed, Hugo Brummer, Peter Dijkstra, Ajay Giri Prakash Kottapalli, Ranjita K. Bose, Marleen Kamperman   +7 more
wiley   +1 more source

Functionalizing Micro‐to‐Mesoscopic Electrode Architectures for Regulating Electron Transfer Behaviors in Electrocatalysis

Advanced Functional Materials, EarlyView.
A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao, Jiaojiao Zhang, Shideng Yuan, Xinmeng Yu, Keming Wan, Xiaoguang Duan, Zhining Wang   +6 more
wiley   +1 more source

Teaching the Logistic Growth Difference Equation Using Spreadsheets [PDF]

, 2010
The logistic growth difference equation is often used in biology to model population growth. The terms that satisfy the difference equation have many remarkable mathematical properties such as exhibiting chaotic behavior. Using spreadsheet modeling tools,
Jeffrey Feuer, Richard Wilkens, Fred J Rispoli   +2 more
core  

Convergence Results on a Second-Order Rational Difference Equation with Quadratic Terms

Advances in Difference Equations, 2009
We investigate the global behavior of the second-order difference equation , where initial conditions and all coefficients are positive. We find conditions on under which the even and odd subsequences of a positive solution converge, one to zero and ...
Chan DM, Kent CM, Ortiz-Robinson NL
doaj  

Global Dynamics of a Rational Difference Equation and Its Solutions to Several Conjectures

Mathematics
In this paper, we investigate the global attractivity of a higher-order rational difference equation in the form xn+1=p+qxn1+rxn+sxn−k, where p,q,r,s≥0, k is a positive integer, and the initial conditions are nonnegative.
Shaoxia Jin, Xianyi Li, Bo Sun
doaj   +1 more source