Results 21 to 30 of about 240,138 (261)
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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A nonlinear Bismut-Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces [PDF]
, 2019 We consider a Backward Stochastic Differential Equation (BSDE for short) in a Markovian framework for the pair of processes $(Y,Z)$, with generator with quadratic growth with respect to $Z$.
Addona, Davide +2 more
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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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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 +31 more
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Mathematics in Engineering, 2019 We determine corrector estimates quantifying the convergence speed of the upscaling of a pseudo-parabolic system containing drift terms incorporating the separation of length scales with relative size $\epsilon\ll1$.
Arthur. J. Vromans +2 more
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A conservative exponential integrators method for fractional conservative differential equations
AIMS Mathematics, 2023 The paper constructs a conservative Fourier pseudo-spectral scheme for some conservative fractional partial differential equations. The scheme is obtained by using the exponential time difference averaged vector field method to approximate the time ...
Yayun Fu , Mengyue Shi
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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
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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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Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation
, 2009 Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint.
Aratyn, H. +2 more
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The Moyal bracket and the dispersionless limit of the KP hierarchy [PDF]
, 1994 A new Lax equation is introduced for the KP hierarchy which avoids the use of pseudo-differential operators, as used in the Sato approach. This Lax equation is closer to that used in the study of the dispersionless KP hierarchy, and is obtained by ...
Arveson W +23 more
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