-integrability test for discrete equations via multiple scale expansions.
Calcul des couches limites dans une membrane porteuse de charges électriques fixes
Canards et enlacements
Champs lents-rapides complexes à une dimension lente
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
Connected branches of asymptotically equivalent solutions to non-linear eigenvalue problems
We prove an existence theorem for connected branches of solutions to nonlinear operator equations in Banach spaces. This abstract result is applied to the asymptotically equivalent solutions to nonlinear ordinary differential equations.
Connecting fast-slow systems and Conley index theory via transversality.
Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case.
Contributions to the asymptotic behaviour of the equation with a complex-valued function
Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria
It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction of an asymptotically...
Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria
It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction of an asymptotically...
Convergence estimate for second order Cauchy problems with a small parameter
We consider the second order initial value problem in a Hilbert space, which is a singular perturbation of a first order initial value problem. The difference of the solution and its singular limit is estimated in terms of the small parameter The coefficients are commuting self-adjoint operators and the estimates hold also for the semilinear problem.
Convergence rate of the solutions of singularly perturbed time-optimal control problems
Corrigendum to: Spline-wavelet solution of singularly perturbed boundary problem
Cubic spline difference scheme on a mesh of Bakhvalov type.