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On the stability and boundedness of solutions to third order nonlinear differential equations with retarded argument. (English) Zbl 1176.34064

Summary: This paper investigates stability and boundedness of solutions to third order nonlinear differential equation with retarded argument:

${x}^{\text{'}\text{'}\text{'}}\left(t\right)+\varphi \left(x\left(t-r\right),{x}^{\text{'}}\left(t-r\right),{x}^{\text{'}\text{'}}\left(t-r\right)\right){x}^{\text{'}\text{'}}\left(t\right)+\psi \left({x}^{\text{'}}\left(t-r\right)\right)+h\left(x\left(t-r\right)\right)=p\left(t,x\left(t\right),x\left(t-r\right),{x}^{\text{'}}\left(t\right),{x}^{\text{'}}\left(t-r\right),{x}^{\text{'}\text{'}}\left(t\right)\right)·$

MSC:
 34D20 Stability of ODE 34C11 Qualitative theory of solutions of ODE: growth, boundedness
References:
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