Journal ArticleDOI
Asymptotic Behavior of the Solutions of Certain Third Order Differential Equations
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This article is published in Siam Journal on Applied Mathematics.The article was published on 1970-07-01. It has received 24 citations till now. The article focuses on the topics: Method of matched asymptotic expansions & Stochastic partial differential equation.read more
Citations
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On the asymptotic behavior of solutions of certain third-order nonlinear differential equations
TL;DR: In this article, the authors established sufficient conditions under which all solutions of the third-order nonlinear differential equation x + ψ ( x, x ˙, x ¨ ) x + f + f ( x, x Ǚ ) = p ( t, x, ǫ, ǒ, Ã, Ã ) are bounded and converge to zero as t → ∞.
Journal ArticleDOI
Boundedness results for a certain third order nonlinear differential equation
TL;DR: Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method.
Journal ArticleDOI
On the asymptotic behavior of solutions of certain non-autonomous differential equations
TL;DR: In this paper, the authors considered non-autonomous (1.2) third-order differential equations, where a(t, b(t)y c(t), g, h, p are continuous real-valued functions depending only on the arguments shown.
Journal ArticleDOI
Stability and boundedness for a kind of non-autonomous differential equations with constant delay
TL;DR: In this paper, sufficient conditions for uniform stability and boundedness of non-autonomous differential equations of third order with constant delay were established, and two new theorems on the subject were proved.
Journal ArticleDOI
Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
Cemil Tunç,Melek Gözen +1 more
TL;DR: In this article, the authors consider a nonautonomous functional differential equation of the third order with multiple deviating arguments and give sufficient conditions to guarantee the asymptotic stability and uniform boundedness of the solutions.
References
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Journal ArticleDOI
On the Boundedness and the Stability of Solutions of some Non‐Autonomous Differential Equations of the Third Order
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A stability result for a certain third order differential equation
TL;DR: The main object of as mentioned in this paper is to give sufficient conditions for the asymptotic stability of the trivial solution x = 0 of the differential equation (1.7) in the large case.
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A boundedness result for the solutions of certain third order differential equations
TL;DR: In this article, a piecewise linear extension of the usual Liapunov type function is constructed and used to investigate the equation for the problem of finding a type function that satisfies the following equation: