Results 21 to 30 of about 968 (120)
Periodic perturbations of Hamiltonian systems
Advances in Nonlinear Analysis, 2016 We prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem.
Fonda Alessandro +2 more
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Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers
Advanced Nonlinear Studies, 2021 We investigate the multiplicity of subharmonic solutions for indefinite planar Hamiltonian systems Jz′=∇H(t,z){Jz^{\prime}=\nabla H(t,z)} from a rotation number viewpoint.
Wang Shuang, Qian Dingbian
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Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
, 2011 In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.Comment: to appear in ...
Liu, Chungen, Zhang, Qingye
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Periodic solutions for nonautonomous differential equations and inclusions in tubes
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1057-1079, 2004., 2004 We study the existence of periodic trajectories for nonautonomous differential equations and inclusions remaining in a prescribed compact subset of an extended phase space. These sets of constraints are nonconvex right‐continuous tubes not satisfying the viability tangential condition on the whole boundary.
Grzegorz Gabor
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Open Mathematics, 2020 This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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Nonautonomous Dynamical Systems, 2022 A non-autonomous discrete commensal symbiosis model with Hassell-Varley type functional response is proposed and studied in this paper. Sufficient conditions are obtained for the existence of positive periodic solution of the system.
Chen Shangming, Chong Yanbo, Chen Fengde
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A min‐max theorem and its applications to nonconservative systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 17, Page 1101-1110, 2003., 2003 A nonvariational generation of a min‐max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance.
Li Weiguo, Li Hongjie
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Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system
Open Mathematics, 2019 In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
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Open Mathematics, 2023 This article deals with the existence, multiplicity, minimal complexity, and global structure of the subharmonic solutions to a class of planar Hamiltonian systems with periodic coefficients, being the classical predator-prey model of V.
López-Gómez Julián +2 more
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Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
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