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Almost periodic solutions for a certain class of almost periodic systems

Almost periodic solutions for a certain class of almost periodic systems

Using a result due to Medvedev [<bold>3</bold>], we obtain conditions under which systems of ordinary differential equations of the form <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="x prime equals upper F left-parenthesis t comma x comma x right-parenthesis plus upper G left-parenthesis t comma x right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>′</mml:mo> </mml:msup> …