Results 11 to 20 of about 88,173 (262)
Fractal and Fractional, 2021 In the present paper, first we obtain sufficient conditions for the existence and uniqueness of the solution of the Cauchy problem for an inhomogeneous neutral linear fractional differential system with distributed delays (even in the neutral part) and ...
Hristo Kiskinov +3 more
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Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory
Bulletin of Mathematical Sciences, 2023 In [Y.-G. Oh and R. Wang, Analysis of contact Cauchy-Riemann maps I: A priori [Formula: see text] estimates and asymptotic convergence, Osaka J. Math. 55(4) (2018) 647–679; Y.-G. Oh and R.
Yong-Geun Oh
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Introductory clifford analysis [PDF]
, 2015 In this chapter an introduction is given to Clifford analysis and the underlying Clifford algebras. The functions under consideration are defined on Euclidean space and take values in the universal real or complex Clifford algebra, the structure and ...
A. Cauchy +52 more
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Variations on the Brouwer Fixed Point Theorem: A Survey
Mathematics, 2020 This paper surveys some recent simple proofs of various fixed point and existence theorems for continuous mappings in R n
Jean Mawhin
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IOP Conference Series: Materials Science and Engineering, 2013 Cauchy-Goursat integral theorem is a pivotal, fundamentally important, and well celebrated result in complex integral calculus. It requires analyticity of the function inside and on the boundary of the simple closed curve. In this study we will investigate the condition(s) under which even though the function is not analytic at a point inside C ...
M Azram, F A M Elfaki
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Integral theorems for the quaternionic G-monogenic mappings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and ...
Shpakivskyi V. S., Kuzmenko T. S.
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. Numerical methods for differential equations solving is a topical problem in applied mathematics. The article is devoted to the numerical-analytical methods of the second and third order of accuracy, based on the approximation of nonlinear ...
O.E. Yaremko, N.N. Yaremko
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IET Microwaves, Antennas & Propagation, 2021 The Cauchy method of analytical regularisation, first in full explanation, is used for the modelling of the plane wave scattering by a flat pre‐fractal system of impedance strips.
George I. Koshovy
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The Compactness of the Family of A(z)-Analytic Functions
Al-Mustansiriyah Journal of Science, 2023 In recent years, the Beltrami equation has garnered the attention of numerous researchers for the study of its analytical properties. Therefore, in this paper, we investigate certain properties of an analogue of the Cauchy integral for A(z)-analytic ...
Ahmed Khalaf Radhi, Gregory M. Lyan
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Nuttall's theorem with analytic weights on algebraic S-contours [PDF]
, 2014 Given a function $f$ holomorphic at infinity, the $n$-th diagonal Pad\'e approximant to $f$, denoted by $[n/n]_f$, is a rational function of type $(n,n)$ that has the highest order of contact with $f$ at infinity. Nuttall's theorem provides an asymptotic
Yattselev, Maxim L.
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