Results 21 to 30 of about 773,939 (324)

Nahm Transform For Periodic Monopoles And N=2 Super Yang-Mills Theory [PDF]

open access: yes, 2000
We study Bogomolny equations on $R^2\times S^1$. Although they do not admit nontrivial finite-energy solutions, we show that there are interesting infinite-energy solutions with Higgs field growing logarithmically at infinity.
Cherkis, Sergey A., Kapustin, Anton
core   +2 more sources

Periodic Solution and Asymptotic Stability for the Magnetohydrodynamic Equations with Inhomogeneous Boundary Condition

open access: yesAxioms, 2019
We show, using the spectral Galerkin method together with compactness arguments, the existence and uniqueness of the periodic strong solutions for the magnetohydrodynamic-type equations with inhomogeneous boundary conditions.
Igor Kondrashuk   +3 more
doaj   +1 more source

Periodic Peakon and Smooth Periodic Solutions for KP-MEW(3,2) Equation

open access: yesAdvances in Mathematical Physics, 2021
In this paper, we consider the KP-MEW(3,2) equation by the bifurcation theory of dynamical systems when integral constant is considered. The corresponding traveling wave system is a singular planar dynamical system with one singular straight line.
Junning Cai, Minzhi Wei, Liping He
doaj   +1 more source

Periods of periodic solutions and the Lipschitz constant [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
let x = -Lx2, X2 = Lxi, x =0 for 2 < i < n, then (2) is satisfied letting F(x) = (-Lx2, Lxl, 0, * * *, 0), and all nonconstant solutions are periodic with period 2wr/L. To prove the theorem, we define the functions f(t) = F(x(t)) and N(t) = f(t)I| and y(t) =f(t)/N(t), for tER. The function y(t) is a unit vector tangent to the periodic trajectory.
openaire   +1 more source

Periodic solutions of periodic generalized food limited model

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
By using the continuation theorem of coincidence degree theory, the existence of positive periodic solutions for a periodic generalized food limited model with state dependent delays and distributed delays is studied, respectively.
Yongkun Li
doaj   +1 more source

Stability and instability for periodic solutions of delay equations with "steplike" feedback

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
We consider the stability of periodic solutions of certain delay equations $x'(t) = f(x_t)$ for which the special structure of the equation allows us to define return maps that are semiconjugate to finite-dimensional maps.
Benjamin Kennedy
doaj   +1 more source

Time—periodic weak solutions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
In continuing from previous papers, where we studied the existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, we now search for a time-periodic weak solution u(t) for the equation whose weak formulation ...
Eliana Henriques de Brito
doaj   +1 more source

Bounded and Periodic Solutions of Semilinear Impulsive Periodic System on Banach Spaces

open access: yesFixed Point Theory and Applications, 2008
A class of semilinear impulsive periodic system on Banach spaces is considered. First, we introduce the T0-periodic PC-mild solution of semilinear impulsive periodic system.
Qian Chen   +3 more
doaj   +2 more sources

Relative Periodic Solutions of the Complex Ginzburg-Landau Equation

open access: yes, 2005
A method of finding relative periodic orbits for differential equations with continuous symmetries is described and its utility demonstrated by computing relative periodic solutions for the one-dimensional complex Ginzburg-Landau equation (CGLE) with ...
Dang‐Vu H.   +7 more
core   +2 more sources

Interaction Properties of the Periodic and Step-like Solutions of the Double-Sine-Gordon Equation

open access: yes, 2009
The periodic and step-like solutions of the double-Sine-Gordon equation are investigated, with different initial conditions and for various values of the potential parameter $\epsilon$. We plot energy and force diagrams, as functions of the inter-soliton
Abdorrasoul Gharaati   +30 more
core   +2 more sources

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