Results 101 to 110 of about 623 (125)
Periodic impulsive fractional differential equations
Advances in Nonlinear Analysis, 2017 This paper deals with the existence of periodic solutions of fractional differential equations with periodic impulses. The first part of the paper is devoted to the uniqueness, existence and asymptotic stability results for periodic solutions of ...
Fečkan Michal, Wang Jin Rong
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Periodic Perturbations of Non-Conservative Second Order Differential Equations [PDF]
arXiv, 2001 Consider the Lienard system $ u'' + f(u) u' + g(u) = 0$ with a center at the origin 0. In the case where the period function $T$ is monotonic, we examine periodic solutions of the perturbed equation $ u'' + a(u)u' + f(u) = \epsilon h(t)$. {\it Key Words:} perturbed systems, Lienard equation, polynomial systems.
arxiv
Periodic Impact Motions at Resonance of a Particle Bouncing on Spheres and Cylinders
Advanced Nonlinear Studies, 2017 We investigate the existence of periodic trajectories of a particle, subject to a central force, which can hit a sphere or a cylinder. We will also provide a Landesman–Lazer-type condition in the case of a nonlinearity satisfying a double resonance ...
Sfecci Andrea
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Cup-length estimate for Lagrangian intersections [PDF]
arXiv, 2003 In this paper we consider the Arnold conjecture on the Lagrangian intersections of some closed Lagrangian submanifold of a closed symplectic manifold with its image of a Hamiltonian diffeomorphism. We prove that if the Hofer's symplectic energy of the Hamiltonian diffeomorphism is less than a topology number defined by the Lagrangian submanifold, then ...
arxiv
One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign
Advances in Nonlinear Analysis, 2016 Let Ω be a bounded open interval, let p>1${p>1}$ and γ>0${\gamma>0}$, and let m:Ω→ℝ${m:\Omega\rightarrow\mathbb{R}}$ be a function that may change sign in Ω.
Kaufmann Uriel, Medri Iván
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Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems [PDF]
Proceedings of the ICM, Beijing 2002, vol. 2, 303--314, 2003 In recent years, we have established the iteration theory of the index for symplectic matrix paths and applied it to periodic solution problems of nonlinear Hamiltonian systems. This paper is a survey on these results.
arxiv
Action minimizing solutions of the Newtonian n-body problem: from homology to symmetry [PDF]
Proceedings of the ICM, Beijing 2002, vol. 3, 255--264, 2003 An action minimizing path between two given configurations, spatial or planar, of the $n$-body problem is always a true -- collision-free -- solution. Based on a remarkable idea of Christian Marchal, this theorem implies the existence of new "simple" symmetric periodic solutions, among which the Eight for 3 bodies, the Hip-Hop for 4 bodies and their ...
arxiv
Branches of Forced Oscillations Induced by a Delayed Periodic Force
Advanced Nonlinear Studies, 2019 We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions.
Calamai Alessandro +2 more
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Arithmetic Geometry and Analysis on Foliated Spaces [PDF]
arXiv, 2005 This report on the topics in the title was written for a lecture series at the Southwestern Center for Arithmetic Algebraic Geometry at the University of Arizona.It may serve as an introduction to certain conjectural relations between number theory and the theory of dynamical systems on foliated spaces.
arxiv
Four closed characteristics on compact star-shaped hypersurfaces in $\mathbb{R}^{8}$ [PDF]
arXivIn this paper, we proved that for every non-degenerate $C^3$ compact star-shaped hypersurface $\Sigma$ in $\mathbb{R}^{8}$ which carries no prime closed characteristic of Maslov-type index $-1$, there exist at least four prime closed characteristics on $\Sigma$.
arxiv