Results 21 to 30 of about 11,623,619 (358)
Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation [PDF]
, 2012 We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-Gordon equation with a variable coefficient.
Barrodale +44 more
core +1 more source
Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum [PDF]
, 2015 We are concerned with the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible Navier–Stokes equations with vacuum as far-field density.
Boqiang Lü, Xiaoding Shi, X. Zhong
semanticscholar +1 more source
A Singular Abstract Cauchy Problem [PDF]
Proceedings of the National Academy of Sciences, 1970 In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations.
openaire +3 more sources
Analytic Solutions of Equation for Random Evolution on a Complex Plane
Austrian Journal of Statistics, 2023 We discuss a generalization of Goldstein-Kac model on a complex plane and apply probabilistic approach to construct solutions of the corresponding Cauchy problem for complex-analytic initial conditions.
Igor Samoilenko +2 more
doaj +1 more source
On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum [PDF]
, 2015 Two-dimensional barotropic compressible magnetohydrodynamic equations with shear and bulk viscosities being a positive constant and a power function of the density, respectively, are considered.
Boqiang Lv, Bingkang Huang
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Cauchy problem with Denjoy-Stieltjes integral [PDF]
Mathematica BohemicaThis work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order $n\geq1$. These kinds of equations are a generalization of the
María Guadalupe Morales Macías
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A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations
Journal of Applied Mathematics, 2012 This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness
Fang Li +3 more
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Современные информационные технологии и IT-образование, 2022 In this paper, we use numerical methods using an uneven Shishkin grid to analyze the queue lengths of a time-scalable queuing system ( ) for which there is a Poisson incoming flow of requests with an intensity and service time , where is the service
Mohamed Adel Bouatta +3 more
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Cauchy Problem and Exponential Stability for the Inhomogeneous Landau Equation [PDF]
, 2015 This work deals with the inhomogeneous Landau equation on the torus in the cases of hard, Maxwellian and moderately soft potentials. We first investigate the linearized equation and we prove exponential decay estimates for the associated semigroup.
K. Carrapatoso +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2013 Conditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the family and are ...
Eugene Bravyi
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