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A continuum of periodic solutions to the planar four-body problem with various choices of masses
periodic solutions planar four-body problem various choices of masses
2015/3/18
A continuum of periodic solutions to the planar four-body problem with various choices of masses.
On some classes of mKdV periodic solutions
Vries mKdV equations show that the dynamic stability of the lattice the numerical simulation of the lattice to breathe
2014/12/29
We obtain exact periodic solutions of the positive and negative modified Kortweg–de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices through direct numerical ...
The Algebro-Geometric Initial Value Problem for the Ruijsenaars-Toda Hierarchy and Quasi-Periodic Solutions
Ruijsenaars-Toda hierarchy complex-valued algebro-geometric solutions hyperelliptic curve Dubrovin-type equation Baker-Akhiezer vector
2012/4/27
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tools involve hyperellip...
Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems
Rabinowitz＇s Saddle Point Theorem Singular Hamiltonian systems without any symmetry
2011/10/18
Using Rabinowitz＇s Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry
Quasi-periodic Solutions for 2k Order Wave Equations
2k order wave equations KAM theory Quasi-periodic solutions Partial Birkhoff normal form
2011/10/18
In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for ...
Periodic solutions for Duffing type p-Laplacian equations
Periodic solutions Duffing type p-Laplacian equations Manasevich-Mawhin continuation theorem
2011/10/13
In this paper, we study periodic solutions for a class of Duffing type p-Laplacian equations. By using the Manasevich-Mawhin continuation theorem, some new results on the existence of periodic solutio...
Existence of S-asymptotically ω-periodic solutions for abstract fractionalintegro-differential equations with infinite delay
S-asymptotically ω-periodic mild solutions Fractional integral-differential equation Solution operator Fixed point theorems
2011/10/11
In this paper, existence of S-asymptotically ω-periodic mild solutions for abstract integro-differential equationwith fractional order is considered. The main results are obtained bythe contraction ma...
Weighted pseudo almost periodic solutions of a fractional neutral functional differential equation
Weighted pseudo almost periodic solutions fractional neutral functional differential equations Existence Banach contraction mapping theorem
2011/10/11
In this paper, by applying the properties of weighted pseudoalmost periodic functions and Banach contraction mapping theorem, a set of sufficient conditions for the existence of weighted pseudo almost...
Existence of subharmonic periodic solutions to a class of second-ordernonlinear non-autonomous mixed-type functional differentialequations
variational structure critical points operator equations subdifferentiability subharmonic periodic solutions second-order mixed-type nonlinearfunctional differential equations
2011/10/11
In this paper, by introducingsubdifferentiability of lower semicontinuous convex functions and the conjugate functions, as well as critical point theory and operator equations theory, we obtain multip...
The existence of S-asymptotically omega-periodic solutions for a class of semilinear fractionaldifferential equations
S-asymptoticallyω-periodic function Fractional differential equations Analyticsemigroup Solutions operator
2011/10/11
This paper deals with the existence of S-asymptotically ω-periodic solutions to a class of fractional partial differentialequations. A series of analytical results about S-asymptotically ω-periodic so...
Periodic Solutions for Some Second Order Hamiltonian Systems
Second order Hamiltonian systems Periodic solutions Saddle point theorems
2011/9/25
We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry...
New Periodic Solutions for Planar 5–Body and 7-Body Problems
5-body and 7-body problems winding numbers variational minimizers
2011/9/25
For planar Newtonian N + 2-body (N=3,5)problems with some mass ratios, we prove the existence of new non-collision periodic solutions such that N bodies with equal masses move on one loop and the othe...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
o.d.e. systems lipchitz non linearity Periodic solutions Dynamical Systems
2011/9/5
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
Periodic solutions o.d.e. systems lipchitz non linearity
2011/8/17
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
On ringing effects near jump discontinuities for periodic solutions to dispersive partial differential equations
ringing effect dispersive equations weak solutions periodic boundary conditions Diophantine approximations Weyl shift method
2011/8/30
Abstract: We consider weak solutions to dispersive partial differential equations with periodic boundary conditions and initial data with jump discontinuities. These are already known to be continuous...