Results 51 to 60 of about 2,130,840 (372)
Advanced Engineering Research, 2014 The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak +1 more
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Approximate methods for solving degenerate singular integral equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. Singular integral equations in degenerate cases describe many processes in natural science and technology. The theory of these equations has been studied quite well, but as far as the authors know, there are currently no analytical methods ...
Il'ya V. Boykov, Anastasiya A. Pivkina
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Lagrangian flows for vector fields with gradient given by a singular integral [PDF]
, 2012 We prove quantitative estimates on flows of ordinary differential equations with vector field with gradient given by a singular integral of an L1 function.
F. Bouchut, Gianluca Crippa
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AN APPROXIMATE METHODS FOR SOLVING POLYSINGULAR INTEGRAL EQUATIONS IN DEGENERATE CASES
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. This work is devoted to the study of sets of functions in which the condition of unique solvability of degenerate polysingular integral equations is satisfied, and to the construction of approximate methods for solving polysingular integral
I. V. Boykov +2 more
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The Cauchy Singular Integral Operator on Weighted Variable Lebesgue Spaces [PDF]
, 2012 Let $p:\R\to(1,\infty)$ be a globally log-H\"older continuous variable exponent and $w:\R\to[0,\infty]$ be a weight. We prove that the Cauchy singular integral operator $S$ is bounded on the weighted variable Lebesgue space $L^{p(\cdot)}(\R,w)=\{f:fw\in ...
A. Karlovich, I. Spitkovsky
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Investigation on the Singularities of Some Singular Integrals
Computer Modeling in Engineering & Sciences, 2011 In a boundary element method, the treatment of all the possible singular integrals is very important for the correctness and accuracy of the solutions. Generally, the directional derivative of a weakly singular integral is computed by an integral in the sense of Cauchy principal value if the directional derivative of the weakly singular integral kernel
Qiang Zhang, Zai You Yan
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On the boundedness of singular integrals [PDF]
Pacific Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marius Mitrea +2 more
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Наука. Инновации. Технологии, 2022 The case of ordinary differential equations of second order with functions known approximately describes a method that allows you to match the original equation corre-sponding integral Fredholm equation of the first kind and to find its numerical ...
Viktoria I. Naats +2 more
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Non-homogeneous impulsive time fractional heat conduction equation
Journal of Numerical Analysis and Approximation Theory, 2023 This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
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Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
wiley +1 more source