Exemples d'utilisation de la théorie des applications radonifiantes
Existence and analyticity of a parabolic evolution operator for nonautonomous linear equations in Banach spaces.
Existence and asymptotic behavior of positive solutions to -Laplacian equations with singular nonlinearities.
Existence and asymptotic stability of solutions for hyperbolic differential inclusions with a source term.
Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems
Existence and concentration of positive solutions for a quasilinear elliptic equation in .
Existence and controllability of fractional-order impulsive stochastic system with infinite delay
This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided...
Existence and data dependence for multivalued weakly Ćirić-contractive operators.
Existence and data dependence of fixed points and strict fixed points for contractive-type multivalued operators.
Existence and density results for retarded subdifferential evolution inclusions
In this paper we study Cauchy problems for retarded evolution inclusions, where the Fréchet subdifferential of a function F:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone subdifferential of oder two is present. First we establish the existence of extremal trajectories and we show that the set of these trajectories is dense in the solution set of the original convex problem for the norm topology of the Banach space C([-r, T₀], Ω) ("strong relaxation theorem")....
Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.
Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays.
Existence and global exponential stability of periodic solutions for general neural networks with time-varying delays.
Existence and L∞ estimates of some Mountain-Pass type solutions
We prove the existence of a positive solution to the BVP imposing some conditions on Φ and f. In particular, we assume to be decreasing in t. Our method combines variational and topological arguments and can be applied to some elliptic problems in annular domains. An bound for the solution is provided by the norm of any test function with negative energy.
Existence and limiting behaviour for damped nonlinear evolution equations with nonlocal terms
Existence and Lyapunov stability of periodic solutions for generalized higher-order neutral differential equations.
Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems.
Existence and multiplicity of positive solutions existence and multiplicity of positive solutions time scales.
Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.