Classification of Some First Order Functional Differential Equations With Constant Coefficients to Solvable Lie Algebras

被引：0

作者：

Lobo, Jervin Zen ^{[1
]}

Valaulikar, Y. S. ^{[2
]}

机构：

[1] St Xaviers Coll, Dept Math, Mapusa 403507, Goa, India

[2] Goa Univ, Dept Math, Taleigao Plateau 403206, Goa, India

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2020年 / 15卷 / 02期

关键词：

Delay differential equations; Determining equations; Group analysis; Lie group; Neutral differential equations; Solvable Lie algebras; Symmetries; SYMMETRY ANALYSIS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall apply symmetry analysis to some first order functional differential equations with constant coefficients. The approach used in this paper accounts for obtaining the inverse of the classification. We define the standard Lie bracket and make a complete classification of some first order linear functional differential equations with constant coefficients to solvable Lie algebras. We also classify some nonlinear functional differential equations with constant coefficients to solvable Lie algebras.

引用

页码：985 / 1003

页数：19

共 29 条

[1] Altun Y., 2019, ADV DIFFER EQU-NY, V437, P1
[2] Altun Y, 2017, BULL MATH ANAL APPL, V9, P31
[3] Arrigo D.J., 2015, Symmetry Analysis of Differential Equations: An Introduction
[4] Solving neutral delay differential equations with state-dependent delays
Bellen, Alfredo
Guglielmi, Nicola
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 229 (02) : 350 - 362
[5] Bluman George W, 2013, Symmetries and differential equations, V81
[6] Lie symmetry analysis of conformable differential equations
Chatibil, Youness
El Kinani, El Hassan
Ouhadan, Abdelaziz
[J]. AIMS MATHEMATICS, 2019, 4 (04): : 1133 - 1144
[7] Deo S. G., 2013, TXB ORDINARY DIFFERE
[8] Dressner L., 1999, APPL LIES THEOR ORDI
[9] Driver RD, 1977, APPLMATH SCI
[10] Hale J., 1977, Functional Differential equations

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