Results 61 to 70 of about 2,481 (254)
Diffraction by a wedge at skew incidence: integral representations of Cauchy–Carleman for the electromagnetic fields [PDF]
, 2003 An electromagnetic diffraction problem in a wedge shaped region is reduced to a system of coupled functional difference equations by means of Sommerfeld integrals and Malyuzhinets theorem.
Long, Nguyen Thanh +2 more
core +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
On the Cauchy theorem for hyperholomorphic functions of spatial variable [PDF]
, 2017 We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface.
Herus, O.F.
core
On the Cauchy integral theorem and Polish spaces
New Zealand Journal of MathematicsWe prove that if a continuous function $f$ in an open subset $U\subset\mathbb{C}$ is analytic in $U\setminus X$, where $X\subset U$ is a Polish space having characteristic system $(k,n)\in\mathbb N_0\times\mathbb N$, then the complex line integral of $f$ along the boundary of any triangle in $U$ vanishes.
Morales, Cristian López +1 more
openaire +2 more sources
Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis +1 more
wiley +1 more source
Extension of rate of change concept: From local to nonlocal operators with applications
Results in Physics, 2020 The concept of rate of change gave birth to numerous important theories and applications in mathematics, applied mathematics and other related academic disciplines.
Abdon Atangana
doaj +1 more source
Sobre el teorema integral de Cauchy [PDF]
, 1994 A proof is given of the Cauchy integral theorem for closed I-forms which is more analytical in character than the usual proof of E. ArtinEn tal época consideramos que la demostración que aquí presentamos, aunque analítica en carácter, no era sencilla ...
Rodríguez Blanco, Guillermo +1 more
core
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Cauchy i·ntegral teoremi·ni·n uygulamalari [PDF]
, 2014 Fen Bilimleri Enstitüsü, Analiz ve Fonksiyonlar Teorisi Ana Bilim DalıBu çalışmada, ilk olarak lokal Cauchy İntegral Teoremi ve uygulamaları hakkında bilgi ve örnekler verildi.
Bilir, Suat
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source