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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 7
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 7, Issue 1, February 2000
  4. Hyperbolic-like solutions for singular Hamiltonian systems
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 7, Issue 4, December 2000
Nonlinear Differential Equations and Applications NoDEA : Volume 7, Issue 3, November 2000
Nonlinear Differential Equations and Applications NoDEA : Volume 7, Issue 2, August 2000
Nonlinear Differential Equations and Applications NoDEA : Volume 7, Issue 1, February 2000
On the regularity at shrinking points for the porous media equation
Bifurcations from infinity in asymmetric nonlinear oscillators
Hyperbolic-like solutions for singular Hamiltonian systems
Boundary-value problems for systems of first-order partial differential inclusions
On the filtration through porous media with partially soluble permeable grains
Partial regularity for minimizers of convex integrals with L log L-growth
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Hyperbolic-like solutions for singular Hamiltonian systems

Content Provider Springer Nature Link
Author Felmer, Patricio Tanaka, Kazunaga
Copyright Year 2000
Abstract We study the existence of unbounded solutions of singular Hamiltonian systems: $\ddot q + \nabla V(q) = 0,$ where $V(q) \sim -{1\over{|q|^\alpha}}$ is a potential with a singularity. For a class of singular potentials with a strong force $\alpha>2$ , we show the existence of at least one hyperbolic-like solutions. More precisely, for given $H>0$ and $\theta_+, \theta_-\in S^{N-1}$ , we find a solution q(t) of (*) satisfying ${1\over 2} |\dot q|^2 + V(q) = H,$ $|q(t)| \longrightarrow \infty \quad {as} \quad t\longrightarrow\pm\infty$ $\lim \limits_{t\to\pm\infty} {q(t)\over |q(t)|} = \theta_\pm.$
Starting Page 43
Ending Page 65
Page Count 23
File Format PDF
ISSN 10219722
Journal Nonlinear Differential Equations and Applications NoDEA
Volume Number 7
Issue Number 1
e-ISSN 14209004
Language English
Publisher Birkhäuser Verlag
Publisher Date 2000-02-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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