Results 11 to 20 of about 20,648 (261)
Abstract and Applied Analysis, 2022 The primary aim of this work is to introduce a new class of functions called μ-ω,c-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ-ω,c-pseudo-almost ...
James Larrouy, Gaston M. N’Guérékata
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On local solvability of pseudo-differential equations [PDF]
Proceedings of the American Mathematical Society, 1974 A sufficient condition for the local solvability of the equation u,-A(x, t, D,)u=f(x, t) is proved, where A is a first order pseudo-differential operator with real symbol. This is a special case of the local solvability conjecture of Nirenberg and Treves. Introduction.
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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 +2 more
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A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation
Mathematics, 2020 A radial basis function-finite differencing (RBF-FD) scheme was applied to the initial value problem of the Benjamin–Ono equation. The Benjamin–Ono equation has traveling wave solutions with algebraic decay and a nonlocal pseudo-differential operator ...
Benjamin Akers, Tony Liu, Jonah Reeger
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A new composition theorem for S^{p}-weighted pseudo almost periodic functions and applications to semilinear differential equations [PDF]
Opuscula Mathematica, 2011 In this paper, we establish a new composition theorem for \(S^p\)-weighted pseudo almost periodic functions under weaker conditions than the Lipschitz ones currently encountered in the literatures.
Zhi-Han Zhao +2 more
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Syntheses of differential games and pseudo-Riccati equations
Abstract and Applied Analysis, 2002 For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution
Yuncheng You
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Stability for a class of nonlinear pseudo-differential equations
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael L. Frankel, Victor Roytburd
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On a pseudo-Volterra nonhomogeneous integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova +3 more
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Pseudo-differential Equations with Spherical Splines
, 2021 The aim of this chapter is to report on the design of additive Schwarz methods when spherical splines are used to solve the hypersingular integral equation on the sphere. On this geometry, this equation belongs to a wider class of the so-called pseudo-differential equations on the sphere.
Stephan, EP, Tran, T
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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.
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