In the chapter, the notions of \((\omega ,\varOmega )\) stable and \((\omega ,\varOmega )\) asymptotically stable, especially \((c_1,c_1)\) stable and \((c_1,c_1)\) asymptotically stable, are presented. Several sufficient conditions on about \((c_1,c_1)\) stable and \((c_1,c_1)\) asymptotically stable of time-varying delay neutral differential equations are established by the proposed integral inequalities. The above sufficient conditions may similarly be generalized to the above time-varying delay neutral differential equations. Finally, a complex numerical example is presented to illustrate the main result effectively.
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This work is Supported by National Key Research and Development Program of China (2017YFF0207400).
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