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Stability of solutions of linear delay differential equations

Stability of solutions of linear delay differential equations

Consider the linear differential equation <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis 1 right-parenthesis ModifyingAbove x With dot left-parenthesis t right-parenthesis equals sigma-summation Underscript i equals 1 Overscript n Endscripts p Subscript i Baseline left-parenthesis t right-parenthesis x left-parenthesis t minus tau Subscript i Baseline right-parenthesis equals 0 comma t greater-than-or-slanted-equals …