Ondes hyperboliques non linéaires globales
Ondes oscillantes semi-linéaires en 1.d
Optimization problems for structural acoustic models with thermoelasticity and smart materials
Optimization problem for a structural acoustic model with controls governed by unbounded operators on the state space is considered. This type of controls arises naturally in the context of "smart material technology". The main result of the paper provides an optimal synthesis and solvability of associated nonstandard Riccati equations. It is shown that in spite of the unboundedness of control operators, the resulting gain operators (feedbacks) are bounded on the state space. This allows to provide...
Optique Géométrique et invariance de jauge : Solutions oscillantes d’amplitude critique pour les équations de Yang-Mills
Optique non linéaire et ondes sur critiques
Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments.
Oscillation of nonlinear impulsive hyperbolic equations with several delays.
Oscillations of the solutions of nonlinear hyperbolic equations of neutral type.
In this paper nonlinear hyperbolic equations of neutral type of a given form are considered, with certain boundary conditions. Under certain constraints on the coefficients of the equation and the boundary conditions, sufficient conditions for oscillation of the solutions of the problems considered are obtained.