Results 21 to 30 of about 5,766,339 (246)

The Cauchy Problem for Multidimensional Difference Equations in Lattice Cones [PDF]

open access: yes, 2021
We consider a variant of the Cauchy problem for a multidimensional difference equation with constant coefficients, which connected with a lattice path problem in enumerative combinatorial analysis.
Ляпин, А. П.   +1 more
core   +1 more source

A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations

open access: yesJournal of Applied Mathematics, 2012
This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness
Fang Li   +3 more
doaj   +1 more source

On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
E. A. Maksimova
doaj   +3 more sources

A second-order impulsive Cauchy problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We study the existence of mild and classical solutions for an abstract second-order impulsive Cauchy problem modeled in the form u¨(t)=A u(t)+f(t,u(t),u˙(t)),t∈(−T0,T1),t≠ti;u(0)=x0,u˙(0)=y0; △u(ti)=Ii1 (u (ti)).
Eduardo Hernández Morales
doaj   +1 more source

Justification of the Cauchy-Born approximation of elastodynamics [PDF]

open access: yes, 2013
We present sharp convergence results for the Cauchy-Born approximation of general classical atomistic interactions, for static problems with small data and for dynamic problems on a macroscopic time ...
Ortner, Christoph, Theil, Florian
core   +1 more source

Design of a Multistable Finger Prosthesis with Programmable Metamaterials

open access: yesAdvanced Engineering Materials, EarlyView.
This research article shows the development of a multistable programmble metamaterial for the use as a finger prosthesis. The material was designed on different hierarchical levels where the influence of geometrical parameters and combination of mechanical elements was explored.
Franziska Wenz   +5 more
wiley   +1 more source

Global stability of stage-structured single species model on with Beverton–Holt birth function

open access: yesApplied Mathematics in Science and Engineering
Our article discusses a Cauchy problem of a single species model with stage structure and Beverton–Holt birth function. The global stability of the Cauchy problem is completely surveyed by using the global stability of the corresponding elliptic system ...
Hongtao Zhang, Jingfu Zhao
doaj   +1 more source

Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients

open access: yesСовременная математика: Фундаментальные направления, 2021
In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peano’s existence theorem and Kamke’s theorem on the uniqueness of the solution to the Cauchy problem are established, and a method for the approximate solution of
A. A. Abduganiev   +2 more
doaj   +1 more source

Mechanistic Origins of Chemo‐Mechanical Instability and Failure in Solid‐State Lithium‐Sulfur Electrodes

open access: yesAdvanced Functional Materials, EarlyView.
Conversion‐induced sulfur expansion generates strong mechanical constraints and localized stresses within solid‐state Li‐S cathodes. Heterogeneous solid‐electrolyte confinement creates tensile strain‐energy hotspots that govern particle cracking. Larger sulfur particles accelerate fracture, while higher porosity relaxes constraint and delays damage ...
Arpan K. Sharma   +3 more
wiley   +1 more source

Métodos de Maz'ia e Landweber para o problema de Cauchy elíptico [PDF]

open access: yes, 2015
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2015.Nesta dissertação foi trabalhado o clássico exemplo de problema mal ...
Souza, Mario Luiz Previatti de
core  

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