Results 91 to 100 of about 3,258,064 (367)

The Sobolev-type equations of the second order with the relatively dissipative operator pencils

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators.
O. Tsyplenkova, A. A. Zamyshlyaeva
doaj   +3 more sources

A modification of Cauchy's method for quadratic equations

open access: yesJournal of Mathematical Analysis and Applications, 2008
The plan of this paper is to obtain one-point iterative methods with any R-order of convergence, when they are applied to approximate solutions of quadratic equations in Banach spaces. To do this, we consider real Cauchy's method and, under certain natural modifications, it is extended to Banach spaces. Some applications are also provided.
Ezquerro, J.A.   +2 more
openaire   +2 more sources

Comprehensive Study of Li Deposition and Solid Electrolyte Cracking by Integrating Simulation and Experimental Data

open access: yesAdvanced Science, EarlyView.
This study presents a phase‐field model integrating mechanical constraints, solid–solid contact, and large‐strain mechanochemical coupling to characterize lithium deposition and electrolyte cracking. Results show that reducing mechanical constraints, with good electrode–electrolyte contact, suppresses dendrite eruption in cracks and extends battery ...
Chen Lin, Haihui Ruan, Ming‐Sheng Wang
wiley   +1 more source

Properties of integrals which have the type of derivatives of volume potentials for one ultraparabolic arbitrary order equation

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In weighted Hölder spaces it is studied the smoothness of integrals, which have the structure and properties of derivatives of volume potentials which generated by fundamental solutions of the Cauchy problem for one ultraparabolic arbitrary order ...
V.S. Dron'   +2 more
doaj   +1 more source

Cauchy problem for fractional diffusion equations

open access: yesJournal of Differential Equations, 2004
We consider an evolution equation with the regularized fractional derivative of an order $ \in (0,1)$ with respect to the time variable, and a uniformly elliptic operator with variable coefficients acting in the spatial variables. Such equations describe diffusion on inhomogeneous fractals.
Samuil D. Eidelman, Anatoly N. Kochubei
openaire   +3 more sources

Elastic Fiber Programming for Simplified Pneumatic Control in Soft Robots

open access: yesAdvanced Science, EarlyView.
This study introduces a novel approach to designing pneumatic soft actuators by leveraging elastic fiber programming to achieve tailored constitutive equations. Using pre‐stretched elastic fibers with varying properties and modurization, the soft robots can demonstrate diverse motions from a single pressure source. This simplifies control systems while
Xiaoli Yang   +7 more
wiley   +1 more source

Surjectivity of the $\overline{\partial}$-operator between spaces of weighted smooth vector-valued functions

open access: yes, 2018
We derive sufficient conditions for the surjectivity of the Cauchy-Riemann operator $\overline{\partial}$ between spaces of weighted smooth Fr\'echet-valued functions.
Kruse, Karsten
core  

The Cauchy problem for the Ishimori equations

open access: yesJournal of Functional Analysis, 1992
AbstractIn 1984, Y. Ishimori derived a nonlinear wave equation which is a two-dimensional analogue of the classical isotropic spin-chain in ferromagnetism. In this paper we show that the Cauchy problem associated to this equation is well-posed in Sobolev spaces when initial spins are almost parallel.
openaire   +2 more sources

Observation of Optical Precursor in Time‐Energy‐Entangled W Triphotons

open access: yesAdvanced Science, EarlyView.
This study reports the observation of optical precursors at the triphoton level through the SSWM process. By appropriately adjusting the optical depth (OD), optical precursors are effectively separated from the main wave through utilizing the slow‐light effect to manipulate the triphoton temporal correlations in the group delay regime.
Zhou Feng   +5 more
wiley   +1 more source

On a quadratic type functional equation on locally compact abelian groups

open access: yesActa Universitatis Sapientiae: Mathematica, 2018
Let (G,+) be a locally compact abelian Hausdorff group, 𝓀 is a finite automorphism group of G, κ = card𝒦 and let µ be a regular compactly supported complex-valued Borel measure on G such that μ(G)=1κ$\mu ({\rm{G}}) = {1 \over \kappa }$.
Dimou Hajira   +3 more
doaj   +1 more source

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