Results 21 to 30 of about 239,614 (261)

Frames of solutions and discrete analysis of pseudo‐differential equations

Mathematical Methods in the Applied Sciences, 2022
We construct discrete analogs of multidimensional singular integral operators and study their invertibility. Moreover, we give a comparison between continual and discrete case. We give the theory of periodic Riemann problem also, because it is needed for studying invertibility of so‐called paired equations.
Alexander V. Vasilyev, Vladimir B. Vasilyev, Oksana A. Tarasova   +2 more
openaire   +1 more source

Almost Automorphic and Pseudo-Almost Automorphic Solutions to Semilinear Evolution Equations with Nondense Domain

Journal of Inequalities and Applications, 2009
We study the existence and uniqueness of almost automorphic (resp., pseudo-almost automorphic) solutions to a first-order differential equation with linear part dominated by a Hille-Yosida type operator with nondense domain.
Bruno de Andrade, Claudio Cuevas
doaj   +2 more sources

An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution [PDF]

, 2019
Producción CientíficaWe solve the Cauchy problem defined by the fractional partial differential equation [∂tt − κD]u = 0, with D the pseudo-differential Riesz operator of first order, and certain initial conditions.
AA Kilbas, AM Mathai, AN Tikhonov, D Borthwick, DG Duffy, F Olivar-Romero, M Caputo, M Riesz, R Gorenflo, S Umarov   +9 more
core   +3 more sources

Properties of single layer potentials for a pseudo- differential equation related to a linear transformation of a rotationally invariant stable stochastic process

Математичні Студії, 2021
This article is aimed at determining existence conditions of single layer potentials for pseudo-differential equations related to some linear transformations of a rotationally invariant stable stochastic process in a multidimensional Euclidean space and ...
Kh. V. Mamalyha, M. M. Osypchuk
doaj   +1 more source

When is a pseudo-differential equation solvable ? [PDF]

Annales de l'Institut Fourier, 2000
This paper begins with a broad survey of the state of the art in matters of solvability for differential and pseudo-differential equations. Then we proceed with a Hilbertian lemma which we use to prove a new solvability result.
openaire   +2 more sources

On single-layer potentials for a class of pseudo-differential equations related to linear transformations of a symmetric $\alpha$-stable stochastic process

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this article an arbitrary invertible linear transformations of a symmetric $\alpha$-stable stochastic process in $d$-dimensional Euclidean space $\mathbb{R}^d$ are investigated.
Kh.V. Mamalyha, M.M. Osypchuk
doaj   +1 more source

Solutions of fractional order pseudo-hyperbolic telegraph partial differential equations using finite difference method

Alexandria Engineering Journal, 2022
In this study, the explicit finite difference method is used to solve the fractional-order pseudo-hyperbolic telegraph partial differential equation by means of Caputo fractional derivative.
Sadeq Taha Abdulazeez, Mahmut Modanli
doaj   +1 more source

Local Isometric immersions of pseudo-spherical surfaces and evolution equations

, 2015
The class of differential equations describing pseudo-spherical surfaces, first introduced by Chern and Tenenblat [3], is characterized by the property that to each solution of a differential equation, within the class, there corresponds a 2-dimensional ...
A. Huber, A. Sakovich, D. Cavalcante, D.C. Ferraioli, E. Reyes, E. Reyes, L. Jorge, M. Rabelo, M. Rabelo, M. Rabelo, M. Rabelo, N. Kamran, P. Gorka, Q. Ding, R. Beals, S.-S. Chern, V. Foursov, V.P. Gomes Neto   +17 more
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Absorbing boundary conditions for the Westervelt equation [PDF]

, 2014
The focus of this work is on the construction of a family of nonlinear absorbing boundary conditions for the Westervelt equation in one and two space dimensions.
A. Majda, B. Engquist, B. Engquist, B. Kaltenbacher, B. Kaltenbacher, B. Kaltenbacher, C. Clason, C. Connor, C. Le Floch, C. Le Floch, C. Simon, D. Givoli, D. Givoli, E. Bécache, G. W. Hedstrom, I. Hallaj, I. Shevchenko, J. Kohn, J. Szeftel, J. Zhang, L. Hörmander, L. Hörmander, L. Nirenberg, M. Averkiou, M. Pernot, M. W. Wong, P. J. Westervelt, R. R. Paz, S. Tsynkov, T. Ha-Duong, T. Hagstrom, T. Hughes   +31 more
core   +1 more source

New Conditions for the Exponential Stability of Nonlinear Differential Equations

Abstract and Applied Analysis, 2017
We develop a method for proving local exponential stability of nonlinear nonautonomous differential equations as well as pseudo-linear differential systems.
Rigoberto Medina
doaj   +1 more source