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Systems of functional-differential equations with asymptotically constant solutions

Systems of functional-differential equations with asymptotically constant solutions

Sufficient conditions are given for a nonlinear system of differential equations with deviating arguments to have solutions which approach finite limits as <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="t right-arrow normal infinity"> <mml:semantics> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo stretchy="false">→<!-- → --></mml:mo> <mml:mi mathvariant="normal">∞<!-- ∞ --></mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">t \to \infty</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. No …