Approximation by the -Szász-Mirakjan Operators by N. I. Mahmudov

“…Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szász-Mirakjan operators ( ) is of order versus 1/n for the classical Szász-Mirakjan operators.…”
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sn-metrizable spaces and related matters by Zhiming Luo

“…We give a mapping theorem on sn-metrizable spaces, discuss relationships among spaces with point-countable sn-networks, spaces with uniform sn-networks, spaces with locally countable sn-networks, spaces with σ-locally countable sn-networks, and sn-metrizable spaces, and obtain some related results.…”
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Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation by Liu Yang

“…By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. …”
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Two New Geraghty Type Contractions in Gb-Metric Spaces by Yixiao Wang, Chunfang Chen

“…In this work, two Geraghty type contractions are introduced in Gb-metric spaces, and some fixed point theorems about the contractions are proved. At the end of this article, a theorem about unique solution of an integral function is proved.…”
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ℵ1-directed inverse systems of continuous images of arcs by Ivan Lončar

“…The main purpose of this paper is to prove that if X={Xa,pab,A} is a usual ℵ1-directed inverse system of continuous images of arcs with monotone bonding mappings, then X=limX is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.…”
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Bifurcation for the solutions of equations involving set valued mappings by E. U. Tarafdar, H. B. Thompson

“…This paper is devoted to a generalization of the bifurcation theorem of Karsnosel'skii and Rabinowitz to the set valued situation.…”
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Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms by Zhouhong Li

“…By applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, we establish the existence of four positive solutions for two species parasitical system with impulsive effects and harvesting terms. …”
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The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour by Georg Wehowar, Erika Hausenblas

“…In the present article, we introduce the second Kummer function with matrix parameters and examine its asymptotic behaviour relying on the residue theorem. Further, we provide a closed form of a solution of a Weber matrix differential equation and give a representation using the second Kummer function.…”
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Soliton Solutions for Quasilinear Schrödinger Equations by Junheng Qu

“…By using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.…”
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Arithmatical consequences of two identities of B. Gordon by John A. Ewell

“…A third application yields an alternate proof of Rmanujan's theorem on the divisibility of certain values of the partition function by the modulus 5.…”
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Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations by Wen-Xue Zhou, Hai-zhong Liu

“…Our results are based on the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem.…”
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Some generating functions of modified Bessel polynomials from the view point of Lie group by Asit Kumar Chongdar

“…An application of our theorem is also pointed out.…”
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Two-Point Oscillation for a Class of Second-Order Damped Linear Differential Equations by Kong Xiang-Cong, Zheng Zhao-Wen

“…Using the comparison theorem, the two-point oscillation for linear differential equation with damping term is considered, where . …”
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Regularity of Global Attractor for the Reaction-Diffusion Equation by Hong Luo

“…By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space Hk for all k>0, which attracts any bounded subset of Hk(Ω) in the Hk-norm.…”
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Existence of Multiple Solutions for Fourth-Order Elliptic Problem by Hua Gu, Tianqing An

“…By using the variant fountain theorem, we study the existence of multiple solutions for a class of superquadratic fourth-order elliptic problem with Navier boundary value condition.…”
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Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays by Ninghua Chen

“…By applying the theory of abstract continuation theorem of k-set contractive operator and some analysis technique, a new result on the existence of periodic solutions is obtained.…”
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Analytic Solutions of an Iterative Functional Differential Equations Near Regular Points by Lingxia Liu

“…By reducing the equation to another functional equation without iteration of the unknown function an existence theorem is established for analytic solutions of the original equation.…”
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Robustness of Exponential Dissipation with respect to Small Time Delay by Xunwu Yin

“…We investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: We firstly obtain a converse Lyapunov theorem. With the help of it, we establish an important result on robustness of exponential dissipation to small time delay assuming that the nonlinearity is globally Lipschitz.…”
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Fixed points via a generalized local commutativity by Gerald F. Jungck

“…We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and others.…”
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A note on centralizers by Howard E. Bell

“…For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.…”
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