Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity by Takahiro Nishiyama

“…An infinite number of generalized solutions to the stationary Euler equations with axisymmetry and prescribed circulation are constructed by applying the finite difference method for spatial variables to an equation of pseudo-advected vorticity. …”
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Norm Comparison Estimates for the Composite Operator by Xuexin Li, Yong Wang, Yuming Xing

“…As applications, we obtain the norm estimates for the Jacobian subdeterminant and the generalized solution of the quasilinear elliptic equation.…”
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A characterization of the desarguesian planes of order q2 by SL(2,q) by D. A. Foulser, N. L. Johnson, T. G. Ostrom

“…The main result is that if the translation complement of a translation plane of order q2 contains a group isomorphic to SL(2,q) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker, who assumed that the kernel of the plane contained GF(q).…”
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Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System by Xiumei Li, Chun Shen

“…In fact, the result in this paper is the reasonable generalization of the result in Sun (2011) with which is exactly the critical situation for . …”
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Error Bound of Periodic Signals in the Hölder Metric by Tikam Singh, Pravin Mahajan

“…We obtain two theorems to determine the error bound between input periodic signals and processed output signals, whenever signals belong to 𝐻𝜔-space and as a processor we have taken (𝐶,1)(𝐸,1)-mean and generalized an early result of Lal and Yadav in (2001).…”
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Strongly Reciprocally p-Convex Functions and Some Inequalities by Hao Li, Muhammad Shoaib Saleem, Ijaz Hussain, Muhammad Imran

“…In this paper, we generalize the concept of strong and reciprocal convexity. …”
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The Point of Coincidence and Common Fixed Point for Three Mappings in Cone Metric Spaces by Anil Kumar, Savita Rathee, Navin Kumar

“…The aim of this paper is to present the point of coincidence and common fixed point for three mappings in cone metric spaces over normal cone which satisfy a different contractive condition. Our result generalizes the recent related results proved by Stojan Radenović (2009) and Rangamma and Prudhvi (2012).…”
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Fixed point theorems for semi-groups of self maps of semi-metric spaces by G. Jungck

“…We use selected semi-groups of self maps of a semi-metric space to obtain fixed point theorems for single maps and for families of mapstheorems which generalize results by Browder, Jachymski, Rhoades and Waiters, and others. …”
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An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves by Bayraktar, Turgay, Karaca, Emel

“…We prove that maximal real algebraic curves associated with sub-Gaussian random real holomorphic sections of a smoothly curved ample line bundle are exponentially rare. This generalizes the result of Gayet and Welschinger [13] proved in the Gaussian case for positively curved real holomorphic line bundles.…”
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Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space by Jianjun Liu, Lili He, Lei Deng

“…We establish a strong convergence theorem for S and T in Hilbert space by hybrid method. The results generalize and unify many corresponding results.…”
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Approximation by the -Szász-Mirakjan Operators by N. I. Mahmudov

“…This paper deals with approximating properties of the q-generalization of the Szász-Mirakjan operators in the case . …”
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Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals by Hairong Lian, Junfang Zhao

“…We generalize the unbounded upper and lower solution method to a third-order ordinary differential equation on the half line subject to the Sturm-Liouville boundary conditions. …”
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Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations by Saïd Abbas, Eman Alaidarous, Mouffak Benchohra, Juan J. Nieto

“…We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.…”
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On Some Inequalities of Uncertainty Principles Type in Quantum Calculus by Ahmed Fitouhi, Néji Bettaibi, Rym H. Bettaieb, Wafa Binous

“…The aim of this paper is to generalize the 𝑞-Heisenberg uncertainty principles studied by Bettaibi et al. (2007), to state local uncertainty principles for the 𝑞-Fourier-cosine, the 𝑞-Fourier-sine, and the 𝑞-Bessel-Fourier transforms, then to provide an inequality of Heisenberg-Weyl-type for the 𝑞-Bessel-Fourier transform.…”
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Some simple epidemic models by Fred Brauer

“…The SARS epidemic of 2002-3 led to the study of epidemic models including management measures and other generalizations of the original 1927 epidemic model of Kermack and McKendrick. …”
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Nonsmooth analysis and optimization on partially ordered vector spaces by Thomas W. Reiland

“…Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice. …”
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Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems by Zhan-Dong Mei, Ji-Gen Peng, Jing-Huai Gao

“…We present the notion of convoluted fractional C-semigroup, which is the generalization of convoluted C-semigroup in the Banach space setting. …”
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Hadamard Inequalities for Strongly α,m-Convex Functions via Caputo Fractional Derivatives by Yanliang Dong, Muhammad Zeb, Ghulam Farid, Sidra Bibi

“…Several related results are analyzed for convex and m-convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.…”
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Minimal Bratteli diagrams and the dimension groups of AF C*-algebras by Ryan J. Zerr

“…A method is described which identifies a wide variety of AF algebra dimension groups with groups of continuous functions. The results here generalize the well-known fact that commutative AF algebras have dimension groups which can be identified with groups of integer-valued continuous functions.…”
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Evaluation of Patients with Painful Bladder Syndrome/Interstitial Cystitis by Jean Jacques Wyndaele

“…There is a lot of activity in this domain and a great international effort is made to get to a generally accepted definition and standardised protocols for diagnosis and treatment. …”
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