Existence results for first order impulsive semilinear evolution inclusions.
Existence results for impulsive evolution differential equations with state-dependent delay.
Existence results for impulsive semilinear damped differential inclusions.
Existence results for semilinear elliptic equations with small measure data
Existence results for the equation in .
Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions
Existence theorems for a semilinear elliptic boundary value problem
Existence Theorems for the Dirichlet Elliptic Inclusion Involving Exponential-Growth-Type Multivalued Right-Hand Side
We present two existence results for the Dirichlet elliptic inclusion with an upper semicontinuous multivalued right-hand side in exponential-type Orlicz spaces involving a vector Laplacian, subject to Dirichlet boundary conditions on a domain Ω⊂ ℝ². The first result is obtained via the multivalued version of the Leray-Schauder principle together with the Nakano-Dieudonné sequential weak compactness criterion. The second result is obtained by using the nonsmooth variational technique together with...
Existence theory for perturbed hyperbolic differential inclusions.
Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure.
Existence, uniqueness and statistical theory of turbulent solutions of the stochastic Navier-Stokes equation, in three dimensions -- an overview.
Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis
We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.
Explicit solutions for a system of first-order partial differential equations. II.
Explicit solutions for a system of first-order partial differential equations.
Explosion en temps fini pour l’équation de Schrödinger non linéaire stochastique surcritique
Exponential convergence to the stationary measure and hyperbolicity of the minimisers for random Lagrangian Systems
We consider a class of 1d Lagrangian systems with random forcing in the spaceperiodic setting: These systems have been studied since the 1990s by Khanin, Sinai and their collaborators [7, 9, 11, 12, 15]. Here we give an overview of their results and then we expose our recent proof of the exponential convergence to the stationary measure [6]. This is the first such result in a classical setting, i.e. in the dual-Lipschitz metric with respect to the Lebesgue space for finite , partially answering...
Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping.
Exponential decay of solutions to a fourth-order viscoelastic evolution equation in .
Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms.