Results 91 to 100 of about 14,741 (209)
Analyticity for Solution of Integro-Differential Operators
, 2020 We prove that for a certain class of kernels $K(y)$ that viscosity solutions of the integro-differential equation $$ \int_{\mathbb R^n} (u(x+y) - 2 u(x) + u(x-y)) K(y) dy = f(x,u(x)) $$ are locally analytic if $f$ is an analytic function. This extends the result of Albanese, Fiscella, Valdinoci that such solutions belong to certain Gevrey classes.
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 The system of equations of the second boundary value problem of the linear theory of elasticity for homogeneous isotropic bodies is reduced to two separate integro-differential equations of Fredholm type, which allowed to apply for their research the ...
Valery V Struzhanov
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The Canonical Symmetry and Hamiltonian Formalism. II. Hamiltonian Operators [PDF]
, 1993 It is shown how the canonical symmetry is used to look for the hierarchy of the Hamiltonian operators relevant to the system under consideration. It appears that only the invariance condition can be used to solve the problem.Comment: 13 pages, LaTeX file,
Leznov, A. N., Razumov, A. V.
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Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems
Advances in Difference Equations, 2011 In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
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On the stability of some fractional-order non-autonomous systems
Electronic Journal of Qualitative Theory of Differential Equations, 2007 The fractional calculus (integration and differentiation of fractional-order) is a one of the singular integral and integro-differential operators. In this work a class of fractional-order non-autonomous systems will be considered.
Sheren Ahmed Abd El-Salam +1 more
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Boundary value problems for elliptic integro-differential operators [PDF]
Mathematische Zeitschrift, 1996 This paper is a continuation of the previous work ``Boundary value problems and Markov processes'', Springer Lect. Notes Math. 1499 (1991; Zbl 0766.60097) where we studied a class of degenerate boundary value problems for second-order elliptic differential operators and proved that this class of boundary value problems generates analytic semigroups ...
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Solvability of boundary-value problems for Poisson equations with Hadamard type boundary operator
Electronic Journal of Differential Equations, 2016 In this article we study properties of some integro-differential operators of fractional order. As an application of the properties of these operators for Poisson equation we examine questions on solvability of a fractional analogue of Neumann problem
Batirkhan Turmetov +2 more
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UniFIDES: Universal fractional integro-differential equations solver
APL Machine LearningThe development of data-driven approaches for solving differential equations has led to numerous applications in science and engineering across many disciplines and remains a central focus of active scientific inquiry.
Milad Saadat, Deepak Mangal, Safa Jamali
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Abstract and Applied Analysis, 2012 By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space.
Yulin Zhao +3 more
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An Integro-Differential Structure for Dirac Distributions
, 2018 We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide the algebraic underpinning for symbolic computation systems handling such ...
Rosenkranz, Markus, Serwa, Nitin
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