Open AccessDissertation
On the asymptotic behavior of the solutions of some third and fourth order non-autonomous differential equations
Reads0
Chats0
About:
The article was published on 1975-01-01 and is currently open access. It has received 11 citations till now. The article focuses on the topics: Method of matched asymptotic expansions & Asymptotic analysis.read more
Citations
More filters
Journal ArticleDOI
On the uniform ultimate boundedness of the solutions of certain third order differential equations
TL;DR: In this paper, the authors considered the boundedness of solutions of (1.1) and (2.2) in the case a(t) = bt = ct = 1, assuming one of the following conditions on p t and p t, x, y, z:
Some New Results on the Boundedness of Solutions of a Certain Nonlinear Differential Equation of Third Order
TL;DR: In this article, the boundedness of solutions of a third-order nonlinear differential equation is investigated, and some criteria on the regularity and asymptotic behavior of solu- tions for the same equation are also given.
Journal ArticleDOI
Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations
Moussadek Remili,Mebrouk Rahmane +1 more
TL;DR: In this paper, sufficient conditions for the boundedness and square integrability of solutions and their derivatives of certain fourth-order nonlinear differential equations are given by means of the Lyapunov's second method.
Journal ArticleDOI
Boundedness and Uniform Boundedness Results for Certain Non-Autonomous Differential Equations of Fourth Order
TL;DR: In this paper, sufficient conditions have been obtained so that all solutions of a different fourth order differential equation are bounded and uniformly bounded, i.e., all solutions are uniformly bounded.
Journal ArticleDOI
Stability of solutions of certain third order non-autonomous ordinary differential equations
D. O. Adams,M. O. Omeike +1 more
TL;DR: In this article, sufficient criteria were established to ensure the stability of solutions of certain third order nonlinear non-autonomous ordinary differential equations of the form (a(t,x,\dot{x},\ddot{x})+m(t.x, \dot{X}, \ddot {x})) +b(t) √ ρ (x, ρ), ρ(t), π(x, ε), σ(x), ω(x)), ρ((t, x, σ), �