THIRD_ORDER

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Asymptotic Behaviour of Solutions of Certain Third Order Nonlinear Differential Equations via Phase Portrait Analysis
《Applied Mathematics》2016年第18期2324-2335,共12页Roseline Ngozi Okereke Sadik Olaniyi Maliki 
The global phase portrait describes the qualitative behaviour of the solution set for all time. In general, this is as close as we can get to solving nonlinear systems. The question of particular interest is: For what...
关键词：Phase Portrait Trajectory Flow HOMEOMORPHISM Asymptotic Stability MATHCAD 
Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations
《Applied Mathematics》2016年第16期1971-1977,共8页R. N. Okereke 
This paper is concerned with the stability analysis of nonlinear third order ordinary differential equations of the form . We construct a suitable Lyapunov function for this purpose and show that it guarantees asympto...
关键词：Nonlinear ODE ENERGY Lyapunov Function Assymptotic Stability 
Oscillation Properties of Third Order Neutral Delay Differential Equations
《Applied Mathematics》2016年第15期1780-1788,共9页Elmetwally M. Elabbasy Osama Moaaz Ebtesam Sh. Almehabresh 
Oscillation criteria are established for third-order neutral delay differential equations with deviating arguments. These criteria extend and generalize those results in the literature. Moreover, some illustrating exa...
关键词：OSCILLATION Third Order Neutral Delay Differential Equations 
On the Stability and Boundedness of Solutions of Certain Non-Autonomous Delay Differential Equation of Third Order被引量：2
《Applied Mathematics》2016年第6期457-467,共11页Akinwale L. Olutimo Daniel O. Adams 
In this paper, we study certain non-autonomous third order delay differential equations with continuous deviating argument and established sufficient conditions for the stability and boundedness of solutions of the eq...
关键词：Asymptotic Stability BOUNDEDNESS Lyapunov Functional Delay Differential Equations Third-Order Delay Differential Equations 
Design and Analysis of Some Third Order Explicit Almost Runge-Kutta Methods
《Applied Mathematics》2016年第1期13-21,共9页Abdulrahman Ndanusa Khadeejah James Audu 
In this paper, we propose two new explicit Almost Runge-Kutta (ARK) methods, ARK3 (a three stage third order method, i.e., s = p = 3) and ARK34 (a four-stage third-order method, i.e., s = 4, p = 3), for the numerical ...
关键词：Almost Runge-Kutta Stability Consistency Convergence Order Conditions Rooted Trees 
Application of Hyperbola Function Method to the Family of Third Order Korteweg-de Vries Equations
《Applied Mathematics》2015年第8期1241-1249,共9页Luwai Wazzan 
In this work, we apply a hyperbola function method to solve the nonlinear family of third order Korteweg-de Vries equations. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions ...
关键词：Nonlinear FAMILY of Third Order Korteeweg-de Vries The HYPERBOLA Function Method Ordinary Differential Equations HYPERBOLIC Polynomial TRAVELLING Wave Solutions 
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