Relativistic wave equations with fractional derivatives and pseudo-differential operators [PDF]
, 2000 The class of the free relativistic covariant equations generated by the fractional powers of the D'Alambertian operator $(\square^{1/n})$ is studied. Meanwhile the equations corresponding to n=1 and 2 (Klein-Gordon and Dirac equations) are local in their
Zavada, P.
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A New Hybrid Method Based on Pseudo Differential Operators and Haar Wavelet to Solve ODEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper we present a new and efficient method by combining pseudo differential operators and Haar wavelet to solve the linear and nonlinear differential equations. The present method performs extremely well in terms of efficiency and simplicity.
M.B. Ghaemi +2 more
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Mu pseudo rotating-periodic solutions for differential equations
Electronic Journal of Differential Equations, 2020 In this article, we combine rotating periodic functions with $\mu$ ergodic functions to obtain a new class of functions called $\mu$ pseudo rotating periodic functions.
Dandan Li, Jiayin Du
doaj
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
Two approximation methods for fractional order Pseudo-Parabolic differential equations
Alexandria Engineering Journal, 2022 In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation.
Mahmut. Modanli +4 more
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Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates [PDF]
, 2007 In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary value problem for second order systems of wave equations be strongly well-posed in a generalized sense. The applications included the harmonic version of
Kreiss, H. -O. +3 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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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 +17 more
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Killing spinor-valued forms and the cone construction [PDF]
, 2016 On a pseudo-Riemannian manifold $\mathcal{M}$ we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties.
Somberg, Petr, Zima, Petr
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On some solvability theorems for pseudo-differential equations
, 2023 14 ...
Vasilyev, Vladimir +2 more
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