L1 and L... Uniform Convergence of a Difference Scheme for a Semilinear Singular Perturbation Problem.
Landesman Lazer type results for first order periodic problems
Existence of nonnegative solutions are established for the periodic problem a.eȯn , . Here the nonlinearity satisfies a Landesman Lazer type condition.
Landesman-Lazer type condition and nonlinearities with linear growth
Landesman-Lazer type problems at an eigenvalue of odd multiplicity
The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear differential equation of the fourth order
Lidstone continuous and discrete boundary value problems.
Limit properties of solutions of singular second-order differential equations.
Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman inequality for the linearized Navier-Stokes system, which leads to null controllability of this system at any time T>0. Then, fixed point arguments lead to the deduction of a local result concerning the exact controllability to the trajectories of the Navier-Stokes system.
Localization of nonsmooth lower and upper functions for periodic boundary value problems
In this paper we present conditions ensuring the existence and localization of lower and upper functions of the periodic boundary value problem , , , , These functions are constructed as solutions of some related generalized linear problems and can be nonsmooth in general.
Localized solutions of elliptic equations: loitering at the hilltop.
Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues
Lyapunov inequalities for one-dimensional -Laplacian problems with a singular weight function.
Lyapunov type inequalities for a second order differential equation with a damping term
For a second order differential equation with a damping term, we establish some new inequalities of Lyapunov type. These inequalities give implicit lower bounds on the distance between zeros of a nontrivial solution and also lower bounds for the spacing between zeros of a solution and/or its derivative. We also obtain a lower bound for the first eigenvalue of a boundary value problem. The main results are proved by applying the Hölder inequality and some generalizations of Opial and Wirtinger type...