New existence results for coupled delayed differential systems with multi-parameters

In this paper, several novel existence and multiplicity results are established for a coupled functional differential system with multi-parameters. The discussion is based upon fixed point theory, and our main findings enrich and complement those available in the literature.

Traveling Wave Solutions of a Delayed Cooperative System

This paper deals with the dynamics of a delayed cooperative system without quasimonotonicity. Using the contracting rectangles, we obtain a sufficient condition on the stability of the unique positive steady state of the functional differential system. When the spatial domain is whole R , the existence and nonexistence of traveling wave solutions are investigated, during which the asymptotic behavior is investigated by the contracting rectangles.

Existence Results for Semilinear Functional Differential System with Nonlocal Conditions

In this paper, sufficient conditions are given for the existence of partial functional differential equations with nonlocal conditions in an abstract space with the help of the fixed point theorems.

ATTAINABLE VALUES OF ON-TARGET FUNCTIONALS FOR A FUNCTIONAL DIFFERENTIAL SYSTEM WITH IMPULSES

For a linear functional differential system with aftereffect and impulses, a description of the attainability set is given. The attainability is considered in the term of a given system of on-target functionals in the case of polyhedral constraints with respect to control and impulses.

Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays

This paper investigates stability and asymptotic properties of the error with respect to its nominal version of a nonlinear time-varying perturbed functional differential system subject to point, finite-distributed, and Volterra-type distributed delays associated with linear dynamics together with a class of nonlinear delayed dynamics. The boundedness of the error and its asymptotic convergence to zero are investigated with the results being obtained based on the Hyers-Ulam-Rassias analysis.