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	1. Inverse shadowing property of hyperspace for free semigroup actions
	QIU Lin,HUANG XiaoJun
	Mathematics 17 January 2022
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (147K B)

	Abstract:The study of hyperspace properties is a major branch of infinite-dimensional topology. Shadowing property is an important concept of dynamical system, there are chain shadowing, h-shadowing and inverse shadowing. Which is related to the chaos and stability of the dynamical system. The purpose of this paper is to extend the generally inverse shadowing to the free semigroup action $(F^{+}_{m},\mathcal{F})\curvearrowright X$. And showed the relationship of inverse shadowing between the hyperspace and the base space.
	TO cite this article:QIU Lin,HUANG XiaoJun. Inverse shadowing property of hyperspace for free semigroup actions[OL].[17 January 2022] http://en.paper.edu.cn/en_releasepaper/content/4756088


	2. Existence Range of Solutions for The Nonlinear Matrix Equations Based on The Canonical Correlation Decomposition
	Tian Shirui,Deng Yuanbei
	Mathematics 05 January 2022
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (362K B)

	Abstract:In this paper focuses on the nonlinear quadratic matrix equation (AX2+BX, Y)=(C, X2), the existence range of solutions for a class of nonlinear matrix equations is derived by using the canonical correlation decomposition (CCD) of matrix pairs. When the rank of given coefficient matrix is equal to that of matrix pairs, the rank of matrix is unequal, and the rank of matrix column is full, the known matrix is mined by canonical correlation decomposition of matrix and basic elementary transformation of matrix. The relation between matrix and unknown matrix, the range of solutions of non-linear matrix equations, and the solution set of the problem are derived.
	TO cite this article:Tian Shirui,Deng Yuanbei. Existence Range of Solutions for The Nonlinear Matrix Equations Based on The Canonical Correlation Decomposition[OL].[ 5 January 2022] http://en.paper.edu.cn/en_releasepaper/content/4755854

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	3. Existence of a positive solution to Kirchhoff type problemswithout compactness conditions
	DENG Landan, SHANG Yanying
	Mathematics 29 December 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (144K B)

	Abstract:In this paper, we consider a class of Kirchhoff problem with steep potential well,the nonlinear term does not require usual compactness conditions, under appropriate assumptions, we establish the existence of positive solutions by utilizing the truncation technique to overcome the lack of compactness.
	TO cite this article:DENG Landan, SHANG Yanying. Existence of a positive solution to Kirchhoff type problemswithout compactness conditions[OL].[29 December 2021] http://en.paper.edu.cn/en_releasepaper/content/4755924


	4. Multi-attribute three-way decision making with degree-based linguistic term sets
	Wang Zeng-Hui,Zhu Ping
	Mathematics 11 June 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (413K B)

	Abstract:When using several possible linguistic terms with different weights (represented by probability values) to express preferences, the probability distribution of those linguistic terms is usually hard to be obtained. In this paper, we utilize degree values to reflect the weights of possible linguistic terms and first propose a novel concept called degree-based linguistic term set (DLTS) from the perspective of degree. Then, we combine multi-attribute decision making and three-way decision to present a multi-attribute three-way decision method under the environment of DLTSs. Finally, we illustrate the validity of our decision method through a concrete example.
	TO cite this article:Wang Zeng-Hui,Zhu Ping. Multi-attribute three-way decision making with degree-based linguistic term sets[OL].[11 June 2021] http://en.paper.edu.cn/en_releasepaper/content/4755218


	5. Error estimate of spectral method for ordinary differential equations with the local Lipschitz condition
	LIAO Huiqing,MA Heping
	Mathematics 02 June 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (1839K B)

	Abstract:In this paper, the Legendre-tau spectral method is applied tothe initial value problem of nonlinear ordinary differential equations,and the nonlinear term is interpolated at the Legendre-Gauss-Lobatto point.A simple iterative format is used for computation.Under the local Lipschitz condition, the $L^2$-error estimates of the iterative solutionand the exact solution are given,and the optimal order is obtained in terms of spectral approximation.For long-time computation,the multi-interval scheme of the above method is established,and the corresponding $L^2$-error estimate is obtained.The above methodology can also be applied in numerical analysis ofspace-time spectral methods for some nonlinear evolution equations.Numerical examples are given to confirm the theoretical results.
	TO cite this article:LIAO Huiqing,MA Heping. Error estimate of spectral method for ordinary differential equations with the local Lipschitz condition[OL].[ 2 June 2021] http://en.paper.edu.cn/en_releasepaper/content/4755219


	6. Rigidity of polyhedral surfaces with finite boundary components
	Ba Te,Zhou Ze
	Mathematics 08 April 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (160K B)

	Abstract:We prove that the polyhedral surface with finite boundary components is determined up to isometry(or scaling) by some types of discrete curvatures, which generalizes a classical result of Luo Feng. The basic idea is to apply the doubling surgery. In this way, the rigidity of surface with boundary is a corollary of the rigidity of closed surface.
	TO cite this article:Ba Te,Zhou Ze. Rigidity of polyhedral surfaces with finite boundary components[OL].[ 8 April 2021] http://en.paper.edu.cn/en_releasepaper/content/4754475


	7. Extinction Time Analysis under cyclic-dominant stochastic population
	ZHANG Li-Bin, WU Bin
	Mathematics 19 March 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (153K B)

	Abstract:In multi-species population, the extinction event is one of the most important phenomena during the evolution of the population.The fate of one species not only determined by itself, but also influenced by other species with which it interacts.Therefore, the extinction of one species has huge influenced on the whole population.Previous researches shows how randomness affects the extinction time of finite population by simulation.However, the mathematical analysis of extinction time is absent.Here we investigate the extinction time under the finite population which adopts the cyclic Rock-Paper-Scissors game.We find a solution of extinction time based on stochastic process under neutral drift.Then for the situation that selection intensity is not vanishing, we get a partial differential equation (PDE) to depict the extinction time.We analyse the PDE under weak selection intensity.Moreover, although our research starts from the model adopting the Fermi process, and we proved that the extinction time under the general imitation process can be known based on our results of the Fermi process.
	TO cite this article:ZHANG Li-Bin, WU Bin. Extinction Time Analysis under cyclic-dominant stochastic population[OL].[19 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4754233


	8. Eco-evolutionary dynamics with feedback driven by imitation
	Cao Lixuan,Bin Wu
	Mathematics 12 March 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (1379K B)

	Abstract:Eco-evolutionary dynamics with environmental feedback occur when individual action modifies both the relative abundance of strategies and surrounding environment. The feedback mechanism can be captured by a function from actions of the population to the environment. As for the evolution of strategies, replicator equation common models it based on the natural selection. However, strategies spread not only by natural selection but also by imitation in evolutionary game. Specifically, Fermi process, as a kind of imitation rule, is generally adopted by individuals. This work propose a class of ecoevolutionary dynamics where strategies coevolve with the environment by general imitation functions. Then the condition under which a limit cycle may occur in the system is obtained, which can never be present in coupled replicator dynamics with environment. Further, the dynamical outcomes can be devided into four cases and compare with the classical system in detail.
	TO cite this article:Cao Lixuan,Bin Wu. Eco-evolutionary dynamics with feedback driven by imitation[OL].[12 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4754090


	9. Finite-time Synchronization for coupled nonidentical Duffing-type oscillatordynamical networks
	LV Mengting,ZHANG Zhengqiu,REN Ling
	Mathematics 08 March 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (828K B)

	Abstract:In this paper, the finite-time synchronization for a class of coupled nonidentical drive-response Duffing-type oscillator dynamical networks is studied. using differential analytical techniques from exisiting papers, and establishing driving response system model of coupling Duffing dynamic network . Then the error system was obtained by transforming the driving response system and designed a reasonable controller , two novel conditions toassure the finite-time synchronization for above networks are acquired by combining integral inequality skills with transforming two differential inequalities into a differential inequality. Based on the results given in this paper, two examples are listed, which implies the validity of these conditions Meanwhile, getting rid of utilizing the finite-time synchronization theorems, our study work widens the research method of the finite-time synchronization for dynamical networks.
	TO cite this article:LV Mengting,ZHANG Zhengqiu,REN Ling. Finite-time Synchronization for coupled nonidentical Duffing-type oscillatordynamical networks[OL].[ 8 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4753943


	10. Ground state solution for Schr\"{o}dinger-KdV system with asymptotically periodic potential
	Liang Fei-Fei,Wu Xing-Ping,Tang Chun-Lei
	Mathematics 08 March 2021
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (164K B)

	Abstract:In this paper, we study the coupled nonlinear Schr\"{o}dinger-Korteweg-de Vries system with asymptotically periodic potential. By using the variational method and Nehari manifold, we obtain the existence of non-trivial ground state solution in dimensions $N\leq3$.
	TO cite this article:Liang Fei-Fei,Wu Xing-Ping,Tang Chun-Lei. Ground state solution for Schr\"{o}dinger-KdV system with asymptotically periodic potential[OL].[ 8 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4753986

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