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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:
\[ x'''(t)+\varphi(x(t-r),x'(t-r),x''(t-r))x''(t)+\psi(x'(t-r))+h(x(t-r))=p(t,x(t),x(t-r),x'(t),x'(t-r),x''(t)). \]

MSC:

34D20 Stability of solutions to ordinary differential equations
34C11 Growth and boundedness of solutions to ordinary differential equations
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