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Keywords:
iterated differential equations; maximal and minimal solutions
iterated differential equations; maximal and minimal solutions
Summary:
In this paper we are concerned with sufficient conditions for the existence of minimal and maximal solutions of differential equations of the form
\[ L_{4}y+f(t,y)=0\,, \]
where $L_{4}y$ is the iterated linear differential operator of order $4$ and $f\colon [a,\infty )\times (0,\infty )\rightarrow (0,\infty )$ is a continuous function.
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