Results 91 to 100 of about 351,014 (282)

LOCATING PERIODIC ORBITS BY TOPOLOGICAL DEGREE THEORY

Libration Point Orbits and Applications, 2003
We consider methods based on the topological degree theory to compute periodic orbits of area preserving maps. Numerical approximations of the Kronecker integral and the application of Stenger's method allows us to compute the value of the topological degree in a bounded region of the phase space.
Polymilis, C., Servizi, G., Skokos, Ch., Turchetti, G., Vrahatis, M. N.   +4 more
openaire   +2 more sources

From Clinic to Computation: Multiscale Bioengineering Strategies for Durable Biological Aortic Valve Replacements

Advanced Functional Materials, EarlyView.
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco, Pierfrancesco Gaziano, Serena Anglese, Simone Morganti, Carlo de Vincentiis, Ferdinando Auricchio, Michele Marino, Michele Conti   +7 more
wiley   +1 more source

Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition

Electronic Journal of Differential Equations, 2018
We study the degenerate elliptic equation $$ -\hbox{div}(|x|^\alpha\nabla u) =f(u)+t\phi(x)+h(x) $$ in a bounded open set $\Omega$ with homogeneous Neumann boundary condition, where $\alpha\in(0,2)$ and f has a linear growth.
Dusan D. Repovs
doaj  

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source

Guiding potential method for differential inclusions with nonlocal conditions

Electronic Journal of Differential Equations, 2015
This article shows the existence of solutions to some nonlocal initial-value problems for differential inclusions. The guiding potential method is used and the topological degree theory for admissible multivalued vector fields is applied.
Radoslaw Pietkun
doaj  

Degree-based topological properties of borophene sheets

Main Group Metal Chemistry
This study examines many innovative topological numbers and establishes mathematical interpretations for boron clusters and borophene coverings. The general Randic index, arithmetic index, and Albertson index are discussed in this work for the alpha ...
Al Khabyah Ali, Ahmad Ali, Azeem Muhammad, Koam Ali N. A.   +3 more
doaj   +1 more source

Dynamic Bonds Enable Repair and Reprocessing of Glycol‐Modified PET

Advanced Functional Materials, EarlyView.
Dynamic hindered urea bonds enable rapid healing in glycol‐modified PET‐based polyurethanes. Tuning the hindered‐amine content allows these polymers to balance mechanical integrity with fast repair, achieving complete scratch disappearance in 30 s at 130°C.
Chaninya Mak‐iad, José Augusto Berrocal, Georges J. M. Formon, Christoph Weder   +3 more
wiley   +1 more source

Tailoring K+/Vacancy Disordered Layered Oxide via Charge Engineering for Stabilizing High‐Performance Potassium‐Ion Batteries

Advanced Functional Materials, EarlyView.
With a charge‐ion coupling engineering strategy, a K+/vacancy disordered K0.5Mn0.8Co0.1Ti0.1O2 material has been designed. The targeted transition metal doping disrupts charge ordering and inducing K+/vacancy disordering, thereby enabling rapid K+ diffusion through interconnected channels and a stable solid‐solution reaction mechanism.
Yongfeng Jia, Xuanpeng Wang, Jiashen Meng, Lujun Zhu, Fanjie Xia, Hong Wang, Fang Liu, Xiao Zhang, Quanquan Pang, Jian Wang, Zhitong Xiao   +10 more
wiley   +1 more source

Boundary and initial value problems for second-order neutral functional differential equations

Electronic Journal of Differential Equations, 2006
In this paper, we consider the three-point boundary-value problem for the second order neutral functional differential equation $$ u''+ f(t,u_t, u'(t))= 0, quad 0 leq tleq 1, $$ with the three-point boundary condition $u_0= phi$, $u(1) = u ...
Hoan Hoa Le, Thi Phuong Ngoc Le
doaj  

Topological degree theory in fuzzy metric spaces [PDF]

Archivum Mathematicum, 2019
Summary: The aim of this paper is to modify the theory to fuzzy metric spaces, a natural extension of probabilistic ones. More precisely, the modification concerns fuzzily normed linear spaces, and, after defining a fuzzy concept of completeness, fuzzy Banach spaces. After discussing some properties of mappings with compact images, we define the (Leray-
openaire   +2 more sources