Existence of Homoclinic Orbits for a Class of Asymptotically p-Linear Difference Systems with p-Laplacian by Qiongfen Zhang, X. H. Tang

“…By applying a variant version of Mountain Pass Theorem in critical point theory, we prove the existence of homoclinic solutions for the following asymptotically p-linear difference system with p-Laplacian Δ(|Δu(n-1)|p-2Δu(n-1))+∇[-K(n,u(n))+W(n,u(n))]=0, where p∈(1,+∞), n∈ℤ, u∈ℝN, K,W:ℤ×ℝN→ℝ are not periodic in n, and W is asymptotically p-linear at infinity.…”
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Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities by Fuyi Xu, Yonghong Wu, Lishan Liu, Yunming Zhou

“…We show that there exist countable many positive solutions by using the fixed point index theorem for operators in a cone.…”
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On quasilinear elliptic equations in ℝN by C. O. Alves, J. V. Concalves, L. A. Maia

“…In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where 0<q<1, to have a bounded positive solution. …”
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Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line by Lishan Liu, Ying Wang, Xinan Hao, Yonghong Wu

“…By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. …”
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Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces by X. J. Wan, Y. P. Zhang, J. T. Sun

“…Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. …”
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Twin Positive Solutions of a Nonlinear m-Point Boundary Value Problem for Third-Order p-Laplacian Dynamic Equations on Time Scales by Wei Han, Guang Zhang

“…Several existence theorems of twin positive solutions are established for a nonlinear m-point boundary value problem of third-order p-Laplacian dynamic equations on time scales by using a fixed point theorem. …”
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The radius of convexity of certain analytic functions II by J. S. Ratti

“…This paper generalized MacGregor's theorem, by considering another univalent function g(z)=z+b2z2+b3z3+… such that |f′(z)g′(z)−1|<1 for |z|<1. …”
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Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion by Wentao Zhan, Yuanyuan Jing, Liping Xu, Zhi Li

“…Our approach is based on Perov’s fixed-point theorem. Furthermore, we establish the transportation inequalities, with respect to the uniform distance, for the law of the mild solution.…”
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Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings by Watcharaporn Cholamjiak, Suthep Suantai

“…We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. …”
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Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space by Wariam Chuayjan, Sornsak Thianwan

“…Under suitable assumptions, we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space. …”
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Some Results for Periodic Solutions of a Kind of Liénard Equation by Yong Wang, Xiangyi Yi

“…Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the Manásevich-Mawhin continuation theorem and some analysis techniques. Our results hold under weaker conditions than some known results from the literature and are more effective. …”
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A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings by Ekkarath Thailert, Rabian Wangkeeree, Chanoksuda Khantree

“…The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition for the bifunctions. …”
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Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System by Zizhen Zhang, Yougang Wang, Massimiliano Ferrara

“…Further, direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are investigated by using the normal form theory and the center manifold theorem. Finally, numerical simulations are presented to show consistency with the obtained results.…”
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New Fixed Point Results in F-Quasi-Metric Spaces and an Application by Ehsan Lotfali Ghasab, Hamid Majani, Erdal Karapinar, Ghasem Soleimani Rad

“…The main goal of the present paper is to obtain several fixed point theorems in the framework of F-quasi-metric spaces, which is an extension of F-metric spaces. …”
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Ulam Stability of a Quartic Functional Equation by Abasalt Bodaghi, Idham Arif Alias, Mohammad Hosein Ghahramani

“…In the current paper, the Hyers-Ulam stability and the superstability for quartic functional equations are established by using the fixed-point alternative theorem.…”
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Existence and Exponential Stability of Equilibrium Point for Fuzzy BAM Neural Networks with Infinitely Distributed Delays and Impulses on Time Scales by Yongkun Li, Lijie Sun, Li Yang

“…By using the fixed point theorem and constructing a Lyapunov functional, we establish some sufficient conditions on the existence, uniqueness, and exponential stability of equilibrium point for a class of fuzzy BAM neural networks with infinitely distributed delays and impulses on time scales. …”
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Multiplicity Results for Variable-Order Nonlinear Fractional Magnetic Schrödinger Equation with Variable Growth by Jianwen Zhou, Bianxiang Zhou, Yanning Wang

“…Under appropriate assumptions, firstly, we prove that the system has at least two different solutions by applying the mountain pass theorem and Ekeland’s variational principle. Secondly, we prove that these two solutions converge to the two solutions of the limit problem. …”
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On the Solution Existence of Variational-Like Inequalities Problems for Weakly Relaxed η−α Monotone Mapping by Marwan Amin Kutbi, Wutiphol Sintunavarat

“…Also, we obtain the existence of solution for variational-like problems with weakly relaxed η-α semimonotone mappings in arbitrary Banach spaces by using the Kakutani-Fan-Glicksberg fixed-point theorem.…”
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Co-decode algorithm of network coding with hardware logic by Hui LI, Ming-long ZHANG, Fu-xing CHEN, Han-xu HOU, Kai PAN, Wei WANG, Hu-sheng YUAN, Tao SUN

“…Practical general coder and decoder of network coding(NC)with HDL(hardware description language)logic for wire-speed nodes was presented.The NC coders applied random linear network coding (RLNC) and the decoders recovered the original packets by Cramer’s rule.The structures and algorithms of NC coder and decoder were designed in detail and implemented in HDL with NetFPGA boards.Comparing with traditional stored-and-forward mechanism,network emulations showed that networks with wire-speed NC coder and decoder nodes could achieve the capacity bound of max-flow min-cut theorem,and the end-to-end delay was guaranteed on a small constant.…”
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On Sums of Strictly Narrow Operators Acting from a Riesz Space to a Banach Space by Oleksandr Maslyuchenko, Mikhail Popov

“…Similar results were previously obtained for narrow operators by different authors; however, no theorem of the kind was known for strictly narrow operators.…”
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