Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry
نویسندگان
چکیده
and Applied Analysis 3 which as is well known has the seven symmetries (Lie [1] and e.g., [4])
منابع مشابه
Symmetry Classification of First Integrals for Scalar Linearizable Second-Order ODEs
Symmetries of the fundamental first integrals for scalar second-order ordinary differential equations ODEs which are linear or linearizable by point transformations have already been obtained. Firstly we show how one can determine the relationship between the symmetries and the first integrals of linear or linearizable scalar ODEs of order two. Secondly, a complete classification of point symme...
متن کاملλ-Symmetry method and the Prelle-Singer 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 m...
متن کاملFirst Integrals of a Special System of Odes (TECHNICAL NOTE)
In this paper we suggest a method to calculate the first integrals of a special system of the first order of differential equations. Then we use the method for finding the solutions of some differential equations such as, the differential equation of RLC circuit.
متن کاملConditional symmetries for ordinary differential equations and applications
We refine the definition of conditional symmetries of ordinary differential equations and provide an algorithm to compute such symmetries. A proposition is proved which provides criteria as to when the symmetries of the root system of ODEs are inherited by the derived higher-order system. We provide examples and then investigate the conditional symmetry properties of linear nth-order equations ...
متن کاملTwo-dimensional systems that arise from the Noether classification of Lagrangians on the line
Noether-like operators play an essential role in writing down the first integrals for Euler-Lagrange systems of ordinary differential equations (ODEs). The classification of such operators is carried out with the help of analytic continuation of Lagrangians on the line. We obtain the classification of 5, 6 and 9 Noether-like operators for two-dimensional Lagrangian systems that arise from the s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014