Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions
Periodic solutions of a weakly nonlinear wave equation
On quasiperiodic motions in a one-dimensional two-phase Stefan problem
Concerning Cesari's theorems
Periodic solutions of weakly nonlinear wave equations in unbounded intervals
Equations of magnetohydrodynamics of compressible fluid: Periodic solutions
The authors prove the global existence and exponential stability of solutions of the given system of equations under the condition that the initial velocities and the external forces are small and the initial density is not far from a constant one. If the external forces are periodic, then solutions periodic with the same period are obtained. The investigated system of equations is a bit non-standard - for example the displacement current in the Maxwell equations is not neglected.
Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem
This paper deals with a system of equations describing the motion of viscous electrically conducting incompressible fluid in a bounded three dimensional domain whose boundary is perfectly conducting. The displacement current appearing in Maxwell’s equations, is not neglected. It is proved that for a small periodic force and small positive there exists a locally unique periodic solution of the investigated system. For , these solutions are shown to convergeto a solution of the simplified (and...
Time-periodic solutions of telegraph equations in spatial variables
Equations of magnetohydrodynamics: periodic solutions
Periodic solutions to weakly nonlinear autonomous wave equations
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