Results 71 to 80 of about 623 (125)
On the existence of periodic oscillations for pendulum-type equations
Advances in Nonlinear Analysis, 2020 We provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T.
Cid J. Ángel
doaj +1 more source
About a conjecture for uniformly isochronous polynomial centers [PDF]
arXiv, 2005 We study a specific family of uniformly isochronous polynomial systems. Our results permit to solve a problem about centers of such systems.
arxiv
The only syzygy-free solution is Lagrange's [PDF]
arXiv, 2006 A syzygy in the three-body problem is a collinear instant. We prove that with the exception of Lagrange's solution every solution to the zero angular momentum Newtonian three-body problem suffers syzygies. The proof works for all mass ratios.
arxiv
A Liapunov Inequality for Linear Hamiltonian Systems
, 1998 A Liapunov type inequality is proved for a linear Hamiltonian system. This inequality allows estimates of intervals of disconjugacy. The inequality is particularly applicable to equations with oscillatory coefficients.
S. Clark, D. Hinton
semanticscholar +1 more source
Normalizers of planar systems with known first integrals [PDF]
arXiv, 2006 Given a planar differential system with a first integral, we show how to find a normalizer. For systems with a center, we give an integral formula for the derivative of its period function.
arxiv
Existence of periodic solutions for the Lotka-Volterra type systems [PDF]
arXiv, 2006 In this paper we prove the existence of non-stationary periodic solutions of delay Lotka-Volterra equations. In the proofs we use the degree for $S^1$-equivariant maps.
arxiv
Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation
, 2014 By applying the Manásevich-Mawhin continuation theorem, we establish some sufficient conditions for the existence and uniqueness of positive periodic solutions for the Liénard type ϕ-Laplacian operator equation.MSC: 34K13, 34C25.
Yun Xin, Xuefeng Han, Zhibo Cheng
semanticscholar +1 more source
On Landesman-Lazer conditions and the Fundamental Theorem of Algebra [PDF]
arXiv, 2020 We give an elementary proof of a Landesman-Lazer type result for systems by means of a shooting argument and explore its connection with the fundamental theorem of algebra.
arxiv
A forced pendulum equation without stable periodic solutions of a fixed period
, 2014 The pendulum equation is forced by a continuous and T -periodic function with zero average. In these conditions it is well known that there exist at least two T periodic solutions.
R. Ortega
semanticscholar +1 more source
Enhanced delay to Bifurcation [PDF]
arXiv, 2007 This article provides an example of fast-slow system such that most orbits remain as close as possible to the unstable manifold of the fast dynamics for an arbitrarily long time.
arxiv