Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
Stability of solitary waves for derivative nonlinear Schrödinger equation
Stability of solutions to the Cauchy problem for a plane hyperbolic system with time-periodic coefficients.
Stability of standing waves for nonlinear Schrödinger equations with potentials
Stability of strong detonation waves and rates of convergence.
Stability of the NLS equation with viscosity effect.
Stability of traveling waves and a relation between the Evans function and the SLEP equation.
Stability of travelling waves in a model for conical flames in two space dimensions
Stability of unique pseudo almost periodic solutions with measure
By means of the fixed-point methods and the properties of the -pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the -pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where is a positive measure. A numerical example is given to illustrate our main results.
Stability of vibrations for some Kirchhoff equation with dissipation
In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval with a tolerance level . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances are insignificant....
Stability on coupling SIR epidemic models with vaccination.
Stability properties for quasilinear parabolic equations with measure data
Stability properties of non-negative solutions of semilinear symmetric cooperative systems.
Stability properties of positive solutions to partial differential equations with delay.
Stability result for a thermoelastic Bresse system with delay term in the internal feedback
The studies considered here are concerend with a linear thermoelastic Bresse system with delay term in the feedback. The heat conduction is also given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method. Furthermore, based on the energy method, we establish an exponential stability result depending of a condition on the constants of the system that was first considered...
Stability results for Harnack inequalities
We develop new techniques for proving uniform elliptic and parabolic Harnack inequalities on weighted Riemannian manifolds. In particular, we prove the stability of the Harnack inequalities under certain non-uniform changes of the weight. We also prove necessary and sufficient conditions for the Harnack inequalities to hold on complete non-compact manifolds having non-negative Ricci curvature outside a compact set and a finite first Betti number or just having asymptotically...
Stability results for obstacle problems with measure data
Stability results on age-structured SIS epidemic model with coupling impulsive effect.
Stabilization and control for the subcritical semilinear wave equation
Stabilization beyond the distributions.