Results 51 to 60 of about 11,370,086 (322)

A Closed-Form Solution to the Arbitrary Order Cauchy Problem with Propagators [PDF]

, 2014
The general abstract arbitrary order (N) Cauchy problem was solved in a closed form as a sum of exponential propagator functions. The infinite sparse exponential series was solved with the aid of a homogeneous differential equation. It generated a linear
Stenlund, Henrik
core  

On the nonlocal Cauchy problem for semilinear fractional order evolution equations

, 2014
In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam.
Jinrong Wang, Yong Zhou, Michal Feckan
semanticscholar   +1 more source

3D Hyperbolic Kirigami Metamaterials With Tunable Auxeticity and Multistability

Advanced Science, EarlyView.
This study proposes a hyperbolic tessellation‐based structure that integrates TPMSs (Triply Periodic Minimal Surfaces, including SP: Schwarz Primitive, SD: Schwarz Diamond, and GY: Gyroid) with rotating rigid polygons, which enables 3D scalable deformation. The structure exhibits auxeticity and multistability, with a maximum volume expansion rate of up
Yu Lei, Yan Wang, Ruizhi Cui, Xiaolong Huang, Lei Zhang, Yuan Jin, Jinling Gao, Biwei Deng   +7 more
wiley   +1 more source

A method for solving ill-posed Robin-Cauchy problems for second-order elliptic equations in multi-dimensional cylindrical domains

Electronic Journal of Differential Equations, 2016
In this article we consider the Robin-Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Robin-Cauchy problem for equations with deviating argument establishes a ...
Berikbol T. Torebek
doaj  

Uniformizable Cauchy spaces

International Journal of Mathematics and Mathematical Sciences, 1982
A family C of filters on a set X is uniformizable if there is a uniformity on X such that C is its collection of Cauchy filters. Using the theory of completions and Cauchy continuous maps for Cauchy spaces, we obtain characterizations of uniformizable ...
Eva Lowen-Colebunders
doaj   +1 more source

Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry [PDF]

, 2007
The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is ...
Kronthaler, Johann
core   +2 more sources

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, EarlyView.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Universal Journal of Mathematics and Applications, 2020
In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
doaj   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, EarlyView.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source