A boundary value problem of fractional order at resonance.
A certain type of partial differential equations on tori
The existence of classical solutions for some partial differential equations on tori is shown.
A characterization of the essential spectrum and applications
In this article the essential spectrum of closed, densely defined linear operators is characterized on a large class of spaces, which possess the Dunford-Pettis property or which isomorphic to one of the spaces . A practical...
A class of retracts in with some applications to differential inclusion
A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865-884] where the nonlinearity has a certain homogeneity.
A complement to the Fredholm theory of elliptic systems on bounded domains.
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here the...
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here...
A fixed point approach to the stability of differential equations .
A fixed Point Theorem and its Applications to Nonlinear Integral Equations in Banach Algebras
A fourth-order boundary value problem with one-sided Nagumo condition.
A global description of solutions to nonlinear perturbations of the Wiener--Hopf integral equations.
A nonlinear neutral periodic differential equation.
A note on a beam equation with nonlinear boundary conditions.
A note on a nonlinear functional differential system with feedback control.
A note on periodic solutions of second order nonautonomous singular coupled systems.
A note on the existence of solutions to some nonlinear functional integral equations.
A note on the parabolic differential and difference equations.
A note on the second order boundary value problem on a half-line.
A periodic boundary value problem in Hilbert space
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.