Liliya Koltsova and Alexander Kostin

The Asymptotic Behavior of Solutions of Monotone Type of First-Order Nonlinear Ordinary Differential Equations,
Unresolved for the Derivative

abstract:
For the first-order nonlinear ordinary differential equation
$$ F(t,y,y')=\sum\limits_{k=1}^n\ p_{k}(t)y^{\alpha_{k}}(y')^{\beta_{k}}=0, $$
unresolved for the derivative, asymptotic behavior of solutions of monotone type is established for $t\to+\infty.$

Mathematics Subject Classification: 34D05, 34E10

Key words and phrases: Nonlinear differential equations, monotone solutions, asymptotic properties