Results 101 to 110 of about 35,763 (256)
On Positive Solutions for the Rational Difference Equation Systems x n+1 = A/x n y n (2), and y n+1 = By n /x n-1 y n-1. [PDF]
Ma HL, Feng H.
europepmc +1 more source
Meromorphic solutions to non-linear differential-difference equations
We consider the non-linear differential-difference equation $$ c(z)w(z+1)+a(z)\frac{w'(z)}{w(z)}=R(z,w(z)), $$ where R(z,w(z)) is rational in w(z) with rational coefficients, a(z) and c(z) are non-zero rational functions.
Changjiang Song, Kai Liu, Lei Ma
doaj
Bismuth‐Based Photocatalysts for Water Remediation: Design Strategies, Mechanisms, and Challenges
This review highlights representative design strategies for bismuth‐based semiconductor photocatalysts in solar‐driven water purification. Emphasis is placed on electronic structure regulation, oxygen‐vacancy engineering, and interfacial coupling to enable efficient full‐spectrum light utilization, improved charge separation, and selective oxidation in
Shan Liu +9 more
wiley +1 more source
A polymerizable deep eutectic solvent is reinforced with tannic acid‐modified cellulose nanofibers to construct a hierarchical dynamic eutectogel network. Synergistic covalent and reversible interactions impart ultrahigh stretchability, high ionic conductivity, broad temperature tolerance, self‐healing, and strong adhesion, enabling robust wearable ...
Huang Wu +11 more
wiley +1 more source
Polymer Substrates for Flexible Sensors: Advances and Contributions to Smart Agriculture
This review comprehensively summarizes recent advances in polymer‐based flexible sensors for smart agriculture, focusing on polymer substrate design, interface engineering, and applications in soil, plant, animal, aquaculture, and post‐harvest monitoring.
Yihui Li +12 more
wiley +1 more source
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 +7 more
wiley +1 more source
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 +6 more
wiley +1 more source
Dynamics of the rational difference equations
Discrete-time systems are sometimes used to explain natural phenomena that happen in non-linear sciences. We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations of generalized order in this paper. Using the standard iteration method, exact solutions are obtained.
openaire +3 more sources
Multifunctional solid polymer electrolyte (SPE) films integrating intrinsic self‐healing, mechanical stretchability, and dual photo‐ and pH‐responsive ionic conductivity are developed. Constructed from thermoplastic polyurethane (TPU) and hydrogen‐bonded poly(thiourea triethylene glycol) (PTUEG3), these films form a dynamic supramolecular network ...
Mei‐Li Li +12 more
wiley +1 more source
Molecular rotors are fluorescent molecules that are sensitive to viscosity and temperature variations in the environment. They exhibit a direct correlation between fluorescence and viscosity within Newtonian fluids. However, this correlation becomes less straightforward in complex systems.
Flavia Di Scala +6 more
wiley +1 more source

