λ-Symmetry method and the Prelle-Singer method for third-order differential equations

Theory of Approximation and Applications

مقاله 3، دوره 12، شماره 2، پاییز و زمستان 2018، صفحه 29-42  

نوع مقاله: Review Article

نویسنده

Khodayar Goodarzi

Department of Mathematics, Brujerd Branch, Islamic Azad University, Broujerd, Iran

چکیده

In this paper, we will obtain first integral, integrating factor and λ-symmetry of third-order ODEs u ⃛=F(x,u,u ̇,u ̈). Also we compare Prelle -Singer (PS) method and λ-symmetry method for third-order differential equations.In this paper, we will obtain first integral, integrating factor and λ-symmetry of third-order ODEs u ⃛=F(x,u,u ̇,u ̈). Also we compare Prelle -Singer (PS) method and λ-symmetry method for third-order differential equations.In this paper, we will obtain first integral, integrating factor and λ-symmetry of third-order ODEs u ⃛=F(x,u,u ̇,u ̈). Also we compare Prelle -Singer (PS) method and λ-symmetry method for third-order differential equations.In this paper, we will obtain first integral, integrating factor and λ-symmetry of third-order ODEs u ⃛=F(x,u,u ̇,u ̈). Also we compare Prelle -Singer (PS) method and λ-symmetry method for third-order differential equations.In this paper, we will obtain first integral, integrating factor and λ-symmetry of third-order ODEs u ⃛=F(x,u,u ̇,u ̈). Also we compare Prelle -Singer (PS) method and λ-symmetry method for third-order differential equations.

کلیدواژه‌ها

Symmetry؛ λ-Symmetry؛ Integrating factor؛ First integral؛ Order reduction