A Bayesian Abstract Economy with a Measure Space of Agents by Monica Patriche

“…We define the model of an abstract economy with differential (asymmetric) information and a measure space of agents. We generalize N. C. Yannelis's result (2007), considering that each agent is characterised by a random preference correspondence instead of having a random utility function. …”
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New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales by Li Gao, Quanxin Zhang, Shouhua Liu

“…A class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the inequality technique, four new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. …”
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The Existence of Fixed Points for a Different Type of Contractions on Partial b-Metric Spaces by Muhammad Nazam, Hüseyin Işik, Khalil Javed, Muhammad Naeem, Muhammad Arshad

“…A different type of contractions is used to prove fixed point results in the given space, which are real generalization of many well-known results. The readers are also provided with some very interesting examples to illustrate the feasibility of the proposed work.…”
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Common Fixed Points via λ-Sequences in G-Metric Spaces by Yaé Ulrich Gaba

“…We imitate some existing techniques in our proofs and show that the tools employed can be used at a larger scale. These results generalize well known results in the literature.…”
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On Pata Convex-Type Contractive Mappings by Merve Aktay, Murat Özdemir

“…Consequently, our results generalize and unify some results in the literature.…”
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NANOSTRUCTURAL PROCESSES OF MELTING, CRYSTALLIZATION AND MODIFYINGS OF METALS by V. Yu. Stetsenko

“…The nanocrystals and atoms of metals, the centers of crystallization of dendrites, surface-active elements, gases modifying elements, poorly soluble impurity elements in solid metal generally participate in these processes. Their activity and intensity of abstrаction of heat during crystallization define structure of metal…”
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Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales by Yang-Cong Qiu, Qi-Ru Wang

“…Using functions from some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. …”
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A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations by Jiebao Sun, Dazhi Zhang, Boying Wu

“…We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization and also consider the existence of the nontrivial time-periodic solution for this system.…”
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Quadratic regular reversal maps by Francisco J. Solis, Lucas Jódar

“…We show several examples that describe in some generality the qualitative properties of quadratic maps.…”
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Least Squares Pure Imaginary Solution and Real Solution of the Quaternion Matrix Equation AXB+CXD=E with the Least Norm by Shi-Fang Yuan

“…Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex representation of quaternion matrices, we derive the expressions of least squares solution with the least norm, least squares pure imaginary solution with the least norm, and least squares real solution with the least norm of the quaternion matrix equation AXB+CXD=E, respectively.…”
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Healthy Eating: Improving Your Convenience Foods by Emily Minton

“…Convenience foods offer many benefits, but they generally have a low nutritional quality compared to other foods. …”
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Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications by Humaira, Muhammad Sarwar, G. N. V. Kishore

“…The derived results generalizes some result in the existing literature. …”
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New Periodic Solutions for the Singular Hamiltonian System by Yi Liao

“…By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. …”
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Opial type Lp-inequalities for fractional derivatives by G. A. Anastassiou, J. J. Koliha, J. Pecaric

“…This paper presents a class of Lp-type Opial inequalities for generalized fractional derivatives for integrable functions based on the results obtained earlier by the first author for continuous functions (1998). …”
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Nanostructural mechanisms of physicochemical reactions by V. Yu. Stetsenko, A. V. Stetsenko

“…It is generally accepted that physicochemical reactions are mainly molecular atomic. …”
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The Multiple K-Riemann Integral by Oussama Kabbouch, Mustapha Najmeddine

“…The aim of this paper is to extend the notion of K-Riemann integrability of functions defined over a,b to functions defined over a rectangular box of ℝn. As a generalization of step functions, we introduce a notion of K-step functions which allows us to give an equivalent definition of the K-Riemann integrable functions.…”
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Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions by Yasuo Iida, Kazuhiro Kasuga

“…In this paper, we will generalize the result to arbitrary (not necessarily positive integer) value of the exponents 0<p<∞.…”
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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. By using the generalized Salagean differential operator, we introduce a class of -harmonic functions and investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points, and convex combination of the class.…”
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Weakly closed multifunctions and paracompactness by Cao Ji-Ling

“…These theorems are generalizations of some results due to Kovaćević and Singal.…”
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Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds by Falleh R. Al-Solamy, Meraj Ali Khan

“…The results obtained are also true if ambient manifold is replaced by a Kaehler manifold. These results generalize several known results in the literature.…”
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