Convergence and Dynamics of Schröder’s Method for Zeros of Analytic Functions with Unknown Multiplicity by Plamena I. Marcheva, Stoil I. Ivanov

“…Thus, we obtain a convergence theorem that provides exact domains of initial points together with error estimates to ensure the <i>Q</i>-quadratic convergence of Schröder’s method right from the first step. …”
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Métiers d’artisan dans les abbayes ardennaises de Saint-Hubert et Stavelot-Malmedy (viie-xiie siècle) by Philippe Mignot

“…A parallel study of the two abbeys enriches textual and archaeological data relative to one another.If the historical context of their respective foundation is different, the relation with their immediate environment or their more distant domains is almost identical. They were both established away from major thoroughfares, therefore road links were inherently difficult. …”
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On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary by V. Rukavishnikov, E. Rukavishnikova

“…The existence and uniqueness of the Rv-generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.…”
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On a Predator-Prey Model Involving Age and Spatial Structure by Okana S. Sougué, Oumar Traoré

“…In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. …”
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Some Normal Criteria about Shared Values with Their Multiplicity Zeros by Jianming Qi, Taiying Zhu

“…Let F be a family of meromorphic functions in the domain D, all of whose zeros are multiple. Let n  (n≥2) be an integer and let a, b be two nonzero finite complex numbers. …”
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Degenerate Differential Operators with Parameters by Veli B. Shakhmurov

“…In applications, the nonlocal boundary value problems for degenerate elliptic partial differential equations and for systems of elliptic equations with parameters on cylindrical domain are studied.…”
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Analytical Solution for the Time-Fractional Telegraph Equation by F. Huang

“…The boundary problem in a bounded space domain is also solved by the spatial Sine transform and temporal Laplace transform, whose solution is given in the form of a series.…”
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Univalent Logharmonic Mappings in the Plane by Zayid Abdulhadi, Rosihan M. Ali

“…This paper surveys recent advances on univalent logharmonic mappings defined on a simply or multiply connected domain. Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, and univalent logharmonic ring mappings. …”
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A note on weakly θ-continuous functions by M. Mrševic, I. L. Reilly

“…In this paper we show how an appropriate change of topology on the domain of a weakly θ-continuous function reduces it to a weakly continuous function. …”
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On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth by Devendra Kumar

“…The present paper is concerned with the rational approximation of functions holomorphic on a domain G⊂C, having generalized types of rates of growth. …”
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Trichotomy for Dynamical Systems in Banach Spaces by Codruţa Stoica

“…Characterizations in a uniform setting are proved, using techniques from the domain of nonautonomous evolution equations with unbounded coefficients, and connections with the classic notion of trichotomy are given. …”
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Inverse Boundary Value Problem for the Magnetohydrodynamics Equations by Lianhua He, Zhong Tan

“…In this paper, we consider the stationary magnetohydrodynamics (MHD) equations in a bounded domain of ℝd d=2,3 with viscosity and magnetic diffusing. …”
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The optimization of a multilayer structural element in plasto-elastic zone by Vytautas Kleiza, Jonas Bareišis

“…In this paper, it has been proved that, if the efficiency coefficient, as a function of three variables is defined in a rectangular parallelepiped, then both the global minimum and the maximum are in the vertices of this domain. …”
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Properties of a Class of -Harmonic Functions by Elif Yaşar, Sibel Yalçın

“…A times continuously differentiable complex-valued function in a domain is -harmonic if satisfies the -harmonic equation , where is a positive integer. …”
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Pairs of paths and critical points by Florin Caragiu, Ioana Caragiu

“…Two sufficient conditions are presented, in terms of the values taken by a holomorphic function f(z) on a pair of smooth paths intersecting at a point z0 in its domain, implying that f′(z0)=0.…”
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Analyse thématique automatique fondée sur la notion d’univers de discours by Frédérik Bilhaut

“…We illustrate the fact that domain-specific knowledge can play a significant role in the structure of the related discourse. …”
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Dynamical properties of maps derived from maps with strong negative Schwarzian derivative by Abraham Boyarsky

“…Such convolutions have 0 as a stable periodic point and at most one other stable periodic orbit in the interior of the domain.…”
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Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae by Mawardi Bahri, Ryuichi Ashino

“…Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. …”
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The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions by Fang-zhen Bo, Ji-jun Ao

“…Further, we show that the number of eigenvalues depend on the order of the equation, partition of the domain interval, and the boundary conditions (including the transmission conditions) given.…”
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A Schwarz lemma of harmonic maps into metric spaces by Jie Wang

“…In particular, when the domain manifold was a hyperbolic surface, the energy of any conformal harmonic maps into $ \operatorname{CAT}(-1) $ spaces were bounded from above uniformly.…”
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