Results 71 to 80 of about 2,481 (254)

The sequential Henstock-Kurzweil delta integral on time scales

Demonstratio Mathematica
In this study, the basic theory of the sequential Henstock-Kurzweil delta integral on time scales will be discussed. First, we give the notion and the elementary properties of this integral; then we show the equivalence of the Henstock-Kurzweil delta ...
Liu Yang, Shao Yabin
doaj   +1 more source

An n-dimensional analogue of Cauchy's integral theorem [PDF]

Journal of the Australian Mathematical Society, 1960
As in [5] a parametric n-surface in Rk (where k ≧ n) will be a pair (f, Mn), consisting of a continuous mapping f of an oriented topological manifold Mn into the euclidean k-space Rk. (f, Mn) is said to be closed if Mn is compact. The main purpose of this paper is to use the method of [4] to prove a general form of Cauchy's Integral Theorem (Theorem 5 ...
openaire   +1 more source

Bicomplex Paley Weiner Theorem [PDF]

, 2023
In this paper, we study the bicomplex version of the Paley-Weiner theorem and the Cauchy integral formula in the upper half-plane.Comment: 13 ...
Kumar, Sanjay, Dolkar, Stanzin
core   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Conditional stability of a solution of a difference scheme for an ill-posed Cauchy problem

Electronic Journal of Differential Equations, 2018
In this article, we obtain criteria for stability of two-layer difference schemes for an abstract ill-posed Cauchy problem. Method of proof is based on obtaining a priori difference weighted Carleman type estimates.
Murat A. Sultanov, Musabek I. Akylbaev, Raskul Ibragimov   +2 more
doaj  

The Solution of Embedding Problems in the Framework of GAPs with Applications on Nonlinear PDEs

Advances in Mathematical Physics, 2009
The paper presents a special class of embedding problems whoes solutions are important for the explicit solution of nonlinear partial differential equations. It is shown that these embedding problems are solvable and explicit solutions are given.
Reinhard Starkl
doaj   +1 more source

On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley   +1 more source

Estimates for (\overline∂-𝜇∂)⁻¹ and Calderón’s theorem on the Cauchy integral [PDF]

, 1988
One can view the Cauchy integral operator as giving the solution to a certain ∂ ¯ \overline \partial problem. If one has a quasiconformal mapping on the plane that takes the real line to the curve, then this
Stephen W. Semmes
core   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth

International Journal of Mathematics and Mathematical Sciences, 2000
This paper is concerned with a Cauchy-Poisson problem in a weakly stratified ocean of uniform finite depth bounded above by an inertial surface (IS). The inertial surface is composed of a thin but uniform distribution of noninteracting materials.
Prity Ghosh, Uma Basu, B. N. Mandal
doaj   +1 more source