Bounds for solutions of a nonlinear differential equation of the third order. (English) Zbl 0706.34003

The existence of solutions to the initial value problem for a special nonlinear third order differential equation on the semi-axis is proved. A priori estimates for the solutions, their first derivatives and second quasi-derivatives are found.
Reviewer: S.I.Trofimchuk


34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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