On the growth of solutions of algebraic differential equations
On the growth of solutions of algebraic differential equations
In this paper we determine estimates for the growth of both real-valued and complex-valued solutions of algebraic differential equations on an interval <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis x 0 comma plus normal infinity right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>x</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> <mml:mo>,</mml:mo> <mml:mo>+</mml:mo> <mml:mi mathvariant="normal">∞<!-- ∞ …