Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls by Ronghua Tan, Zuxiong Li, Qinglong Wang, Zhijun Liu

“…By using the methods of discrete inequality, fixed point theorem, and analysis techniques, a good understanding of the existence and global asymptotic stability of positive periodic solutions is obtained. …”
Get full text

Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model by Feliz Minhós, Rui Carapinha

“…Our method is based on lower and upper solution technique together with the fixed point theory. The main theorem is applied to a SIRS model where to the best of our knowledge, for the first time, it includes impulsive effects combined with global, local, and the asymptotic behavior of the unknown functions.…”
Get full text

Research on Transmission Capacity Characteristics of the Cluster Flight Spacecraft Network by Li Su, Jian Wu, Jinrong Mo

“…First of all, by applying the mean value theorem of integrals, the expression of the outage probability of decode-and-forward relaying is derived. …”
Get full text

Fully Coupled Mean-Field Forward-Backward Stochastic Differential Equations and Stochastic Maximum Principle by Hui Min, Ying Peng, Yongli Qin

“…We first prove the existence and the uniqueness theorem of such mean-field FBSDEs under some certain monotonicity conditions and show the continuity property of the solutions with respect to the parameters. …”
Get full text

A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces by Sahar Mohamed Ali Abou Bakr

“…Finally, the presented results establish a simpler convergence theorem for a sequence of generalized cyclic abc;r contraction mappings, extend, and generalize some of the previous reported results.…”
Get full text

Dynamic Mean-Variance Model with Borrowing Constraint under the Constant Elasticity of Variance Process by Hao Chang, Xi-min Rong

“…Firstly, we apply Lagrange duality theorem to change an original mean-variance problem into an equivalent optimization one. …”
Get full text

On Fractional Diffusion Equation with Caputo-Fabrizio Derivative and Memory Term by Binh Duy Ho, Van Kim Ho Thi, Long Le Dinh, Nguyen Hoang Luc, Phuong Nguyen

“…Our main idea is to combine theories of Banach’s fixed point theorem, Hilbert scale theory of space, and some Sobolev embedding.…”
Get full text

Multiplicity of Solutions for Nonlocal Elliptic System of (p,q)-Kirchhoff Type by Bitao Cheng, Xian Wu, Jun Liu

“…Under bounded condition on M and some novel and periodic condition on F, some new results of the existence of two solutions and three solutions of the above mentioned nonlocal elliptic system are obtained by means of Bonanno's multiple critical points theorems without the Palais-Smale condition and Ricceri's three critical points theorem, respectively.…”
Get full text

Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays by Huaiqin Wu, Luying Zhang, Sanbo Ding, Xueqing Guo, Lingling Wang

“…Firstly, under the framework of Filippov solutions, by using M-matrix theory and the Mawhin-like coincidence theorem in set-valued analysis, the existence of the periodic solution for the network system is proved. …”
Get full text

Upper bound of degrees of freedom in cognitive MIMO interference network with user cooperation by Shi-lei ZHU, Na-e ZHENG, Sheng WANG, Han-ying HU

“…In(K+1)-user cognitive MIMO interference network,conventional algorithms distinguish the interference of primary users and secondary users by aligning them to the different interference space,separately.Therefore,it leads to the loss of spatial degrees of freedom(DoF).From the perspective of multiplexing the interference space,a new upper bound of DoF and its necessary condition was deduced.Furthermore,to verify the rationality and validity of the new upper bound,a cooperative joint interference alignment algorithm,in which a joint interference alignment indicator was designed and proposed based on norm theory and Rayleigh-Ritz theorem.The effectiveness of the algorithm was analyzed.Theoretical analysis and simulation results show that the new upper bound of DoF breaks upper bound given in the existing papers,and it can be achieved by the proposed algorithm.…”
Get full text

Opportunistic network coding based on prediction by Wai-xi LIU, Shun-zheng YU, Ying GAO, Xiao HU

“…Since pure theory network coding had some drawbacks in practical network,however current opportunistic network coding fully depends on overheard information.Thus,in a radically different way from network coding optimization,a novel opportunistic network coding scheme was proposed which was based on prediction (ONCP).The main idea of ONCP was firstly,arrival time of next packet in a node was predicted for the self-similarity of network traffic;:secondly,encoding time,waiting time for coding,transmission time and other factors were taken into account together to determine whether this packet was coded in this node.A theorem—maximum waiting time for was proved network coding in order to obtain throughput gain.Simulation results show that ONCP improves throughput by 15% compared to pure theory network coding and by 21% compared to traditional store-forward.ONCP can also effectively reduce energy consumption while improving throughput.…”
Get full text

Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance by Xikui Liu, Yingying Ge, Yan Li

“…By using the mean-value theorem, the problem of pure-feedback nonlinear function is solved. …”
Get full text

Cosmological cutting rules for Bogoliubov initial states by Diptimoy Ghosh, Enrico Pajer, Farman Ullah

“…Assuming an initial Bunch-Davies state, unitary time evolution implies an infinite set of cutting rules for the wavefunction to all orders in perturbation theory, collectively known as the cosmological optical theorem. In this work, we generalise these results to the case of Bogoliubov initial states, accounting for both parity-even and parity-odd interactions. …”
Get full text

Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application by Mustafa Mudhesh, Hasanen A. Hammad, Habes Alsamir, Muhammad Arshad, Eskandar Ameer

“…The goal of this manuscript is to present a new fixed-point theorem on θ−contraction mappings in the setting of rectangular M-metric spaces (RMMSs). …”
Get full text

Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations by Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, Hana Al-Hutami

“…Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. …”
Get full text

Low complexity hybrid precoding algorithm for massive MIMO based on modified Newton method by Bo HU, Anding WANG, Guiyi WEI

“…A phase tracking algorithm was proposed for massivemultiple-input multiple-output(MIMO) systems based on the modified Newton (MN) method, which effectively reduced the high computational complexity in traditional high-performance hybrid precoding schemes.The algorithm optimized the analog precoding matrix from the perspective ofsub-dimensional vector recovery.In each sub-dimension optimization, the phase tracking method was used to transform the recovery of the analog precoding vectors into an unconstrained nonlinear optimization problem, which was then solved using the MN method.Concurrently, this strategy led to a marked reduction in the computational intricacy pertaining to both the computation of correction factors and the inversion of the Hessian matrix within the framework of the MN method.This was achieved through the insightful incorporation of Gerschgorin’s Disk theorem and the Hermitian matrix block-inverse lemma.Simulation results show that the proposed algorithm has higher spectral efficiency and lower computational complexity than several conventional high-performance hybrid precoding schemes.…”
Get full text

Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials by R. Tremblay, S. Gaboury, B.-J. Fugère

“…We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér (2004) and R. …”
Get full text

Self-organization through decoupling by Romar Correa

“…On the other hand, we provide a theorem showing that a coupled set of differential equations can become uncoupled and vice versa as an argument in favour of the second thesis. …”
Get full text

Application of a naive Bayesians classifiers in assessing the supplier by Mijailović Snežana, Ilić Đorđe

“…The model was developed on the basis of the analysis of subjective probabilities, which are later revised with the help of new empirical information and Bayesian theorem on a posterior probability, i.e. combining of subjective and objective conditional probabilities in the choice of a reliable supplier.…”
Get full text

Design of a tensile-type 3-D multi-scroll chaotic system and its application in secure communication by Jun-peng MA, Li-dan WANG, Shu-kai DUAN, Jie-ning WU

“…Finally, based on Lyapunov theorem and unidi-rectionally coupled method, the synchronization of the chaotic system has also been investigated. …”
Get full text