Exact and approximate solutions of delay differential equations with nonlocal history conditions.
Exact solutions of a linear functional differential equation.
Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type.
Existence and attractivity of periodic solutions to Cohen-Grossberg neural network with distributed delays.
Existence and continuability of solutions of an initial value problem for a system of singular functional differential equations.
Existence and continuous dependence for a class of neutral functional differential equations
A general result on existence and continuous dependence of the solution for a quite wide class of N.F.D.E. is given. Further, an abstract equivalence is proved for three different formulations of N.F.D.E.
Existence and controllability for nondensely defined partial neutral functional differential inclusions
We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined Hille-Yosida operators. Existence and controllability results are established by combining the theory of addmissible multivalued contractions and Frigon's fixed point theorem. These results are applied to a neutral partial differential inclusion with diffusion.
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 controllability results for semilinear neutral functional differential inclusions with nonlocal conditions
In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
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 exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays.
Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks.
Existence and exponential stability of periodic solution of high-order Hopfield neural network with delays on time scales.
Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis.
Existence and global attractivity of periodic solutions in -species food-chain system with time delays.
Existence and global attractivity of positive almost periodic solutions for a kind of fishing model with pure-delay
By using some analytical techniques, modified inequalities and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of fishing model with delay are obtained. Further, the global attractivity of the positive almost periodic solution of this model is also considered. Finally, three examples are given to illustrate the main results of this paper.
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 global stability of positive periodic solutions of a discrete delay competition system.