Search
Search Results
-
Conditions of Solvability of the Problem Inverse to the Cauchy Problem for a Difference-Algebraic Equation
We establish conditions of solvability for the problem inverse to the Cauchy problem for a difference equation. In the case where the problem inverse...
-
An Improved Difference Scheme for the Cauchy Problem in the Case of a Transport Equation
AbstractThe Cauchy problem for the regular transport equation is considered. The Richardson technique is used to construct an improved difference...
-
On One Cauchy Problem for a Hyperbolic Differential-Difference Equation
AbstractWe provide a formulation of the Cauchy problem in a strip for a two-dimensional hyperbolic equation containing a superposition of a...
-
Hypercomplex Cauchy-Type Integral
In this chapter, we consider a certain hypercomplex Cauchy-type integral taking values in a three-dimensional harmonic algebra with two-dimensional...
-
Existence of the Solution to the Cauchy Problem for Nonlinear Stochastic Partial Differential-Difference Equations of Neutral Type
The authors consider the existence of the solution to the Cauchy problem in the class of nonlinear stochastic partial differential-difference...
-
Harmonic Measures and Numerical Computation of Cauchy Problems for Laplace Equations
It is well known that the Cauchy problem for Laplace equations is an ill-posed problem in Hadamard’s sense. Small deviations in Cauchy data may lead...
-
Cauchy Theory
In this chapter we will begin to see more manifestations of how the definition of the complex derivative imposes strong conditions on analytic...
-
Cauchy Formulae and Hardy Spaces in Discrete Octonionic Analysis
In this paper, we continue the development of a fundament of discrete octonionic analysis that is associated to the discrete first order...
-
Numerical-analytical Methods for Solving the Cauchy Problem for Evolutionary Equations with Memory
AbstractMany applied problems lead to the necessity of solving boundary value problems for evolutionary integrodifferential equations of the first...
-
Self-duality, Pieri Formula and Cauchy Formulas
Self-duality (evaluation symmetry), which we are going to discuss below, is one of the most characteristic properties of Macdonald polynomials. In...
-
Color image restoration with mixed Gaussian–Cauchy noise and blur
In this paper, we present a novel model for recovering color images that have been affected by mixed Gaussian Cauchy noise and blur. Our approach...
-
Fractional sum and fractional difference on non-uniform lattices and analogue of Euler and Cauchy Beta formulas
As is well known, the definitions of fractional sum and fractional difference of f ( z ) on non-uniform lattices x ( z ) = c 1 z 2 + c 2 z + c 3 or x ( z ) = c 1 q z ...
-
Stochastic Model of the Cauchy–Neumann Problem for Nonlinear Parabolic Equations
Stochastic equations are derived to describe reflected diffusion processes associated with the Cauchy–Neumann problem for nonlinear parabolic...
-
A more direct way to the Cauchy problem for effectively hyperbolic operators
This paper is devoted to a simpler derivation of energy estimates and a proof of the well-posedness, compared to previously existing ones, for...
-
A Particular Solution for Higher Order Non-homogeneous Discrete Cauchy-Euler Equations
In this paper, we introduce a nonstandard’s method to find a particular solution for non-homogeneous discrete Cauchy-Euler equations of higher order....
-
The Cauchy–Kovalevskaya Theorem
The bulk of this chapter is devoted to the fundamental theorem in analytic PDE theory and one of the most important mathematical discoveries of the...
-
A Cauchy Problem for q-Heat Equation
In this paper, we explore the weak solutions of the Cauchy problem and an inverse source problem for the heat equation in the quantum calculus,...
-
Cauchy Noise Removal via Convergent Plug-and-Play Framework with Outliers Detection
Restoring natural images corrupted by Cauchy noise is a challenging issue in image processing. In the existing methods, the traditional model-driven...
