A Note on the Periodic Solutions for a Class of Third Order Differential Equations
The aim of the present work is to study the necessary and sufficient conditions for the existence of periodic solutions for a class of third order differential equations by using the averaging theory. Moreover, we use the symmetry of the Monodromy matrix to study the stability of these solutions.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-12-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/1/31 |
| _version_ | 1797543403755405312 |
|---|---|
| author | Zouhair Diab Juan L. G. Guirao Juan A. Vera |
| author_facet | Zouhair Diab Juan L. G. Guirao Juan A. Vera |
| author_sort | Zouhair Diab |
| collection | DOAJ |
| description | The aim of the present work is to study the necessary and sufficient conditions for the existence of periodic solutions for a class of third order differential equations by using the averaging theory. Moreover, we use the symmetry of the Monodromy matrix to study the stability of these solutions. |
| first_indexed | 2024-03-10T13:45:05Z |
| format | Article |
| id | doaj.art-f6f66d7744ef49fd915daa8c2e040e11 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T13:45:05Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f6f66d7744ef49fd915daa8c2e040e112023-11-21T02:44:26ZengMDPI AGSymmetry2073-89942020-12-011313110.3390/sym13010031A Note on the Periodic Solutions for a Class of Third Order Differential EquationsZouhair Diab0Juan L. G. Guirao1Juan A. Vera2Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa, AlgeriaDepartamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203 Cartagena, Región de Murcia, SpainCentro Universitario de la Defensa, Academia General del Aire, Universidad Politécnica de Cartagena, 30720 Santiago de la Ribera, Región de Murcia, SpainThe aim of the present work is to study the necessary and sufficient conditions for the existence of periodic solutions for a class of third order differential equations by using the averaging theory. Moreover, we use the symmetry of the Monodromy matrix to study the stability of these solutions.https://www.mdpi.com/2073-8994/13/1/31differential equationsperiodic solutionaveraging theory |
| spellingShingle | Zouhair Diab Juan L. G. Guirao Juan A. Vera A Note on the Periodic Solutions for a Class of Third Order Differential Equations Symmetry differential equations periodic solution averaging theory |
| title | A Note on the Periodic Solutions for a Class of Third Order Differential Equations |
| title_full | A Note on the Periodic Solutions for a Class of Third Order Differential Equations |
| title_fullStr | A Note on the Periodic Solutions for a Class of Third Order Differential Equations |
| title_full_unstemmed | A Note on the Periodic Solutions for a Class of Third Order Differential Equations |
| title_short | A Note on the Periodic Solutions for a Class of Third Order Differential Equations |
| title_sort | note on the periodic solutions for a class of third order differential equations |
| topic | differential equations periodic solution averaging theory |
| url | https://www.mdpi.com/2073-8994/13/1/31 |
| work_keys_str_mv | AT zouhairdiab anoteontheperiodicsolutionsforaclassofthirdorderdifferentialequations AT juanlgguirao anoteontheperiodicsolutionsforaclassofthirdorderdifferentialequations AT juanavera anoteontheperiodicsolutionsforaclassofthirdorderdifferentialequations AT zouhairdiab noteontheperiodicsolutionsforaclassofthirdorderdifferentialequations AT juanlgguirao noteontheperiodicsolutionsforaclassofthirdorderdifferentialequations AT juanavera noteontheperiodicsolutionsforaclassofthirdorderdifferentialequations |