Results 1 to 10 of about 2,048,777 (316)
Periodic points on the complement
Topology and its Applications, 2000 Nielsen fixed point theory furnishes a lower bound, the Nielsen number \(N(f)\), for the number of fixed points of any map homotopic to a map \(f:X\to X\) of a compact ANR. Nielsen periodic point theory concerns points of period \(n\), that is, fixed points of the \(n\)-th iterate \(f^n:X\to X\) of a map \(f\).
Heath, Philip R., Zhao, Xuezhi
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Results in Physics, 2019 We presented an overview of detailed continuation results of periodic orbit families which emanate from the equilibrium points (EPs) of irregular-shaped minor celestial bodies (hereafter called minor bodies).
Yu Jiang, Hexi Baoyin
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Fixed and periodic points of general mappings with applications
Applied General TopologyIn this paper, we establish new results on the existence, uniqueness, and convergence of general mappings in two cases: mappings that admit only a fixed point, and mappings that admit both fixed and periodic points. Our findings apply to both contractive
Ravindra Bisht +4 more
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Multiple periodic solutions for a fourth-order discrete Hamiltonian system [PDF]
Surveys in Mathematics and its Applications, 2010 By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltonian system Δ4u(t-2)+∇ F(t,u(t))=0 ...
Yongkun Li, Jianwen Zhou
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Современные информационные технологии и IT-образование, 2018 The problem of time-periodic solutions of the quasilinear equation of forced oscillations of an I-beam with hinged ends is investigated. The nonlinear summand and the right side of the equation are time periodic functions. The paper studies the case when
Igor A. Rudakov, Elena V. Romanenco
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Integer sequences and periodic points [PDF]
, 2002 For a set \(X\) and a map \(T: X\to X\), denote by \(\text{Per}_n (T)\) the set of points \(x\in X\) of period \(n\) under \(T\), i.e., \(T^n(x)=x\) and there is no positive integer ...
Everest, G +3 more
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Iterative roots of homeomorphisms possessing periodic points
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2007 In this paper we give necessary and sufficient conditions for the existence of orientation-preserving iterative roots of a homeomorphism with a nonempty set of periodic points. We also give a construction method for these roots.
Paweł Solarz
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Advances in Difference Equations, 2019 We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as critical points by a variational approach.
Peiguang Wang +4 more
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Fixed points and differential equations with asymptotically constant or periodic solutions
Electronic Journal of Qualitative Theory of Differential Equations, 2004 Cooke and Yorke developed a theory of biological growth and epidemics based on an equation $x'(t)=g(x(t))-g(x(t-L))$ with the fundamental property that $g$ is an arbitrary locally Lipschitz function.
Theodore Burton
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Boundary Value ProblemsThis paper presents both a periodic and an asymptotic periodic solution for coupled Sylvester matrix Volterra integro-dynamic systems on time scales. The vectorization operator first changes the Sylvester matrix into the Kronecker product of the system ...
Chintamaneni Harisha +5 more
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