Some new stability, boundedness, and square integrability conditions for third-order neutral delay differential equations. (English) Zbl 1430.34076

Summary: In this paper, the authors establish some new sufficient conditions under which all solutions of a third order nonlinear neutral delay differential equation are stable, bounded, and square integrable. An example is also given to illustrate the results.


34K12 Growth, boundedness, comparison of solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
34K40 Neutral functional-differential equations
Full Text: Euclid