Results 111 to 120 of about 10,848 (254)

Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]

, 2011
Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian, Jones, C. K. R. T. (Christopher K. R. T.)   +1 more
core   +1 more source

Oscillation of high order linear functional differential equation with impulses

Electronic Journal of Differential Equations, 2005
We study the solutions to high-order linear functional differential equations with impulses. We improve previous results in the oscillation theory for ordinary differential equations and obtain new criteria on the oscillation of solutions.
Haihua Liang, Weizhen Feng
doaj  

Equations of vibration of a two-dimensionally layered plate strictly based on the decision of various boundary-value problems

Қарағанды университетінің хабаршысы. Математика сериясы, 2017
In this paper, the theory of oscillation of laminated plates of building structures is developed, which is rigorously grounded in the formulation of various boundary value oscillation problems.
A.Zh. Seytmuratov, B.M. Nurlanova, N.K. Medeubaev   +2 more
doaj   +1 more source

Intelligent Acousto‐Electrical Metamaterials (IAM) for Sound Source Detection

Advanced Materials, EarlyView.
Our proposed metamaterial concept enables sound source detection using a single material, in contrast to conventional arrays that require dozens or even hundreds of transducers. We show that the coupled acoustic–vibrational–electrical responses in piezoelectric metamaterials give rise to topology‐governed charge transport, producing distinct voltage ...
Victor Couëdel, Haotian Lu, Jiayan Zhang, Desheng Yao, Ananya Bhardwaj, Ramiro Contreras, Karim Sabra, Xiaoyu (Rayne) Zheng   +7 more
wiley   +1 more source

Mechanically Programmable DNA Hydrogel Microparticles for 3D Cellular Systems

Advanced Materials, EarlyView.
DNA hydrogel microparticles are designed to exhibit controllable viscoelasticity and stiffness across three orders of magnitude from 30Pa$30 \,\mathrm{Pa}$ to 6.5kPa$6.5 \,\mathrm{kPa}$. They are uptaken into fibroblast spheroids where they are actively remodeled by cellular forces depending on their mechanical properties.
Tobias Walther, Eleni Dalaka, Gotthold Fläschner, Manuel Gómez‐González, Ilia Platzman, Sadaf Pashapour, Michelle Emmert, Pere Roca‐Cusachs, Xavier Trepat, Kerstin Göpfrich   +9 more
wiley   +1 more source

Relative oscillation theory for Sturm-Liouville operators

, 2006
Ein Einstieg in die Relative Oszillationstheorie.An Introduction to relative oscillation theory, which allows you to compute the number of eigenvalues in an interval in terms of zeros of ...
Krüger, Helge
core  

Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials

Advanced Materials, EarlyView.
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella, Kobra Azizi, Dirk M. Guldi, Tomás Torres   +3 more
wiley   +1 more source

Gapless Superconductivity From Extremely Dilute Magnetic Disorder in 2H‐NbSe2‐xSx

Advanced Materials, EarlyView.
We demonstrate that 2H‐NbSe2‐xSx hosts gapless superconductivity at unexpectedly low magnetic impurity concentrations. Combining STM, Bogoliubovde Gennes simulations, DFT, and quasiparticle interference, we comprehensively study the development of gapless behavior and show that SeS substitution reshapes the band structure, enhances nesting, and drives ...
Jose Antonio Moreno, Mercè Roig, Víctor Barrena, Edwin Herrera, Alberto M. Ruiz, Samuel Mañas‐Valero, Antón Fente, Anita Smeets, Jazmín Aragón, Yanina Fasano, Beilun Wu, Maria N. Gastiasoro, Eugenio Coronado, José J. Baldoví, Brian M. Andersen, Isabel Guillamón, Hermann Suderow   +16 more
wiley   +1 more source

Theory for acoustic propagation in solid containing gas bubbles, with applications to marine sediment and tissue

, 2007
Whilst there is a considerable body of work in the literature on the theory of acoustic propagation in marine sediment, the incorporation of gas bubbles into such theories is done with the inclusion of assumptions which severely limit the applicability ...
Leighton, T.G.
core  

Renormalized oscillation theory for Dirac operators

, 1998
. Oscillation theory for one-dimensional Dirac operators with sep-arated boundary conditions is investigated. Our main theorem reads: If λ0,1 ∈ R and if u, v solve the Dirac equation Hu = λ0u, Hv = λ1v (in the weak sense) and respectively satisfy the ...
Gerald Teschl, Teschl, Gerald
core   +1 more source