Results 31 to 40 of about 9,353 (157)

Carleman’s Formula for Solutions of the Generalized Cauchy-Riemann System in Multidimensional Spatial Domain

Современная математика: Фундаментальные направления, 2019
In this paper, we consider the restoration problem for solutions of the generalized Cauchy- Riemann system in a multidimensional spatial domain using their values on a piece of the boundary of the domain, i. e., the Cauchy problem.
E N Sattorov, F E Ermamatova
doaj   +1 more source

Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes

Cubo, 2010
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution.
S Albeverio, Ya Belopolskaya
doaj  

N Wave and Periodic Wave Solutions for Burgers Equations

International Journal of Analysis and Applications, 2020
This article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to ...
Zahia Nouri, Saida Bendaas, Houssem Eddine Kadem   +2 more
doaj  

Uniform asymptotic expansion of the solution for the initial value problem with a piecewise constant argument

Қарағанды университетінің хабаршысы. Математика сериясы
The article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
doaj   +1 more source

The Sobolev-type equations of the second order with the relatively dissipative operator pencils

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators.
O. Tsyplenkova, A. A. Zamyshlyaeva
doaj   +3 more sources

Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type. [PDF]

ScientificWorldJournal, 2022
Lizarazo V, De la Cruz R, Lizarazo J.
europepmc   +1 more source

On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc

European Journal of Mathematical Analysis
In this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
doaj   +1 more source

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
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On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]

Philos Trans A Math Phys Eng Sci, 2021
Benedetti I, Obukhovskii V, Taddei V.
europepmc   +1 more source

Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems

Advances in Nonlinear Analysis, 2017
We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over ℝd{\mathbb{R}^{d}} and in Lp{L^{p}}-spaces with respect to tight evolution systems of measures.
Addona Davide, Angiuli Luciana, Lorenzi Luca   +2 more
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