In a previous paper 1 Reissig had established a boundedness result for an equation (1.1) in which f(x) is a bounded function. In the present paper that result of Reissig is extended to hold for an equation (1.4) in which the function ϑ is bounded and the coefficient ϕ, not necessarily constant, satisfies:$$intlimits_0^x {varphi left( s right)ds} - bx = 0left( 1 right) as left x right to infty $$, for some constant b>
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