An invitation on the study of univalent and multivalent functions by A. W. Goodman

“…We begin with the basic definition and some very simple examples from the theory of univalent functions. After a brief look at the literature, we survey the progress that has been made on certain problems in this field. …”
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On Six Solutions for m-Point Differential Equations System with Two Coupled Parallel Sub-Super Solutions by Jian Liu, Hua Su, Shuli Wang

“…Under the assumption of two coupled parallel subsuper solutions, the existence of at least six solutions for a kind of second-order m-point differential equations system is obtained using the fixed point index theory. As an application, an example to demonstrate our result is given.…”
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Existence Theorem for Noninstantaneous Impulsive Evolution Equations by Gul I Hina Aslam, Amjad Ali, Maimona Rafiq

“…In future, this constructive theory can be used for the corresponding semilinear problems.…”
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Stabilization of a Class of Stochastic Systems with Time Delays by Jian Wang, Cuixia Li

“…By using the decomposition technique and Lyapunov stability theory, two improved exponential stability criteria are derived. …”
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Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays by Ninghua Chen

“…This paper considers the existence of periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with neutral delays. 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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Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces by Bilal Cekic, Rabil A. Mashiyev

“…In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x)-Kirchhoff type with nonstandard growth condition.…”
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Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions by Tingting Qi, Yansheng Liu, Yujun Cui

“…Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. …”
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New Bilateral Type Generating Function Associated with I-Function by Praveen Agarwal, Jessada Tariboon, Shilpi Jain

“…The results derived here are of general character and can yield a number of (known and new) results in the theory of generating functions.…”
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The Viro Method for Construction of Piecewise Algebraic Hypersurfaces by Yisheng Lai, Weiping Du, Renhong Wang

“…The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic hypersurface piece on a simplex.…”
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La géométrie de l'espace des éléments d'appuis Yn by Jolita Pakalnyté, Algimantas Pranas Urbonas

“… L'espace Yn des éléments d'appuis dont un élément' dàppui est un objet du deuxième ordre. On dévelope la théorie de courbure de cet espace à connexion linéaire et on trouve des courbes géodésiques. …”
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Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian by Liang Zhang, Peng Zhang

“…. , , by using nonsmooth critical point theory. Our results generalize and improve some theorems in the literature.…”
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Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model by Yongfei Gao, P. J. Y. Wong, Y. H. Xia, Xiaoqing Yuan

“…Based on Mawhin's coincidence degree theory, sufficient conditions are obtained for the existence of at least two positive periodic solutions for a plant-hare model with toxin-determined functional response (nonmonotone). …”
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On λ-rings and topological realization by Donald Yau

“…The question of how many of these filtered λ-ring structures are topologically realizable by the K-theory of torsion-free spaces is also considered for truncated polynomial rings.…”
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The Stability of Solutions for a Fractional Predator-Prey System by Yingjia Guo

“…In order to prove the asymptotical stability of positive equilibrium for this system, we study the Lyapunov stability theory of a fractional system.…”
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Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions by Edcarlos D. da Silva

“…In all results, we use Variational Methods, Morse Theory and Critical Groups.…”
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Meromorphic Solutions of Some Algebraic Differential Equations by Jianming Lin, Weiling Xiong, Wenjun Yuan

“…By means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related results of Barsegian et al. (2002). …”
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Positive Solutions for a Class of Discrete Mixed Boundary Value Problems with the p,q-Laplacian Operator by Cuiping Li, Zhan Zhou

“…By using critical points theory, we obtain the existence of at least two positive solutions for the boundary value problem under appropriate assumptions on the nonlinearity.…”
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ON THE IMPLEMENTATION OF HUMANITIES MODULES AT TECHNICAL UNIVERSITIES by Vladimir F. Gorokhov

“…The paper presents the review of the results of the International Conference "Humanities in Higher School: Theory, Practice, Implementation", which took place in November 2016 at the National Research Nuclear University (MEPhI), Moscow, under the support of Pon-tificia Universitas Gregoriana and University of Aosta Valley.…”
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Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions by Yuan Shan, Baoqing Liu

“…We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma.…”
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Ordini militari nell’Impero portoghese: una revisione

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