# Hokkaido Mathematical Journal

## Hokkaido Mathematical Journal, 36 (2007) pp.535-562

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### Abstract

In this paper, we consider an initial value problem of the differential equation written in the title under an initial condition $x(T)=A$, $x'(T)=B$ $(00$, we conclude that if $T$ and $A$ are fixed arbitrarily, then there exists a number $B_{1}$ such that in every case of $B = B_{1}$, $B>B_{1}$, and $B0$. Finally we discuss the case $T=0$ and $\lambda <-1$.

MSC(Primary) 34A12 34A34 asymptotic behavior, an initial value problem, the analytical expressions, a first order rational differential equation, a two dimensional autonomous system