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Zbl 1176.34064
Tunç, Cemil
On the stability and boundedness of solutions to third order nonlinear differential equations with retarded argument. (English)
[J] Nonlinear Dyn. 57, No. 1-2, 97-106 (2009). ISSN 0924-090X; ISSN 1573-269X/e

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 2000:: *34D20 Lyapunov stability of ODE
34C11 Qualitative theory of solutions of ODE: Growth, etc.

Keywords: stability; boundedness; Lyapunov functional; third order nonlinear differential

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