Une remarque sur l'allure des solutions d'une équation différentielle
Une remarque sur les solutions bornées d'une équation différentielle à retard
Une remarque sur les solutions bornées d'une équation différentielle avec pilotage
Une remarque sur l'existence d'une solution borné dans l'intervalle (-∞,+∞) de l'équation différentielle à retard
Une remarque sur une évaluation des solutions bornées d'une équation différentielle avec pilotage
Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory
In this paper we establish the existence of the uniform attractor for a semi linear parabolic problem with bounded non autonomous disturbances in the phase space of continuous functions. We applied obtained results to prove the asymptotic gain property with respect to the global attractor of the undisturbed system.
Uniform exponential stability of linear almost periodic systems in Banach spaces.
Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings
We prove that for every nonempty compact manifold of nonzero dimension no self-homeomorphism and no continuous self-mapping has the uniform pseudo-orbit tracing property. Several relevant counterexamples for recently studied hypotheses are indicated.
Uniformly isochronous polynomial centers.
Unique solution of periodic boundary value problems.
Unique solvability of a linear problem with perturbed periodic boundary values
We investigate the problem with perturbed periodic boundary values with for some arbitrary positive real number , by transforming the problem into an integral equation with the aid of a piecewise polynomial and utilizing the Fredholm alternative theorem to obtain a condition on the uniform norms of the coefficients , and which guarantees unique solvability of the problem. Besides having theoretical value, this problem has also important applications since decay is a phenomenon that all...
Uniqueness of a symmetric positive solution to an ODE system.
Uniqueness of limit cycles bounded by two invariant parabolas
In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
Uniqueness of limit cycles for a class of cubic systems with two invariant straight lines.
Uniqueness of periodic solution for a class of Liénard -Laplacian equations.
Uniqueness of Principal Values, Complete Monotonicity of Logarithmic Derivatives of Principal Solutions, and Oscillation Theorems.
Uniqueness theorem for -biharmonic equations.
Using Lie symmetries in epidemiology.
Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium
Variational method and conjugacy criteria for half-linear differential equations
We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy functional.