Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
Asymptotic solutions of forced nonlinear second order differential equations and their extensions.
Asymptotic stability for a class of integrodifferential equations
Asymptotic stability of a partial differential equation with an integral perturbation
We study the asymptotic behaviour of the Markov semigroup generated by an integro-partial differential equation. We give new sufficient conditions for asymptotic stability of this semigroup.
Asymptotic stability of an integro-differential equation of parabolic type
Asymptotic stability of the extended Tjon-Wu model.
Asymptotic stability results for certain integral equations.
Asymptotically almost periodic solutions for abstract partial neutral integro-differential equation.
Asymptotics of integrodifferential models with integrable kernels II.
Bifurcation theory of the time-dependent von Kármán equations
In this paper the author studies existence and bifurcation of a nonlinear homogeneous Volterra integral equation, which is derived as the first approximation for the solution of the time dependent generalization of the von Kármán equations. The last system serves as a model for stability (instability) of a thin rectangular visco-elastic plate whose two opposite edges are subjected to a constant loading which depends on the parameters of proportionality of this boundary loading.
Brève communication. Phénomène de perturbation singulière pour une équation intégrale linéaire de Volterra
Data dependence for some integral equation via weakly Picard operators.
Decay rates of solutions of linear stochastic Volterra equations.
Decay rates of Volterra equations on ℝN
This note is concerned with the linear Volterra equation of hyperbolic type on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.
Existence and asymptotic behavior of solutions for weighted -Laplacian integrodifferential system multipoint and integral boundary value problems in half line.
Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation
Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions which are defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions. Finally, we give an example to illustrate our abstract results.
Existence and uniqueness of positive periodic solutions for a class of integral equations with parameters
Existence of periodic solutions of functional differential equations with parameters such as Nicholson’s blowflies model call for the investigation of integral equations with parameters defined over spaces with periodic structures. In this paper, we study one such equation , x ∈ Ω, by means of the proper value theory of operators in Banach spaces with cones. Existence, uniqueness and continuous dependence of proper solutions are established.
Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain.
Existence of periodic solutions for integrodifferential impulsive periodic system on Banach space.
Existence of solutions for weighted -Laplacian impulsive integro-differential system periodic-like boundary value problems.