I. Kiguradze and Z. Sokhadze

A Priori Estimates of Solutions of Systems of Functional Differential Inequalities, and Some of Their Applications

abstract:
A priori estimates of solutions of systems of functional differential inequalities appearing in the theory of boundary value problems, as well as in the stability theory are established. On the basis of these estimates, new sufficient conditions of boundedness, uniform stability and uniform asymptotic stability of solutions of nonlinear delay differential systems are obtained.

Mathematics Subject Classification: 34A40, 34K12, 34K20

Key words and phrases: System of functional differential inequalities, differential system with delay, a priori estimate, boundedness, stability