Results for sixth order positively homogeneous equations
We consider positively homogeneous the sixth order differential equations of the type x (6) = h(t, x), where hpossesses the property that h(t, cx) = ch(t, x) for c ≥ 0. This class includes the linear equations x (6) = p(t)x and piece‐wise linear ones x (6) = k 2 x+ - k 1 x− . We consider conjugate p...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2009-03-01
|
| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/6514 |
| _version_ | 1819350089997484032 |
|---|---|
| author | Tatjana Garbuza |
| author_facet | Tatjana Garbuza |
| author_sort | Tatjana Garbuza |
| collection | DOAJ |
| description | We consider positively homogeneous the sixth order differential equations of the type x (6) = h(t, x), where hpossesses the property that h(t, cx) = ch(t, x) for c ≥ 0. This class includes the linear equations x (6) = p(t)x and piece‐wise linear ones x (6) = k 2 x+ - k 1 x− . We consider conjugate points and angles associated with extremal solutions and prove some comparison results.
First published online: 14 Oct 2010 |
| first_indexed | 2024-12-24T19:10:53Z |
| format | Article |
| id | doaj.art-00cb0db7e0fb4d119aefab3f8cf3a31c |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-24T19:10:53Z |
| publishDate | 2009-03-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-00cb0db7e0fb4d119aefab3f8cf3a31c2022-12-21T16:43:00ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102009-03-0114110.3846/1392-6292.2009.14.25-32Results for sixth order positively homogeneous equationsTatjana Garbuza0Daugavpils University Parades str., Daugavpils, Latvia, LV-5400We consider positively homogeneous the sixth order differential equations of the type x (6) = h(t, x), where hpossesses the property that h(t, cx) = ch(t, x) for c ≥ 0. This class includes the linear equations x (6) = p(t)x and piece‐wise linear ones x (6) = k 2 x+ - k 1 x− . We consider conjugate points and angles associated with extremal solutions and prove some comparison results. First published online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/6514differential equations of 6‐th orderequations with asymmetric nonlinearitiesconjugate pointspositive homogeneous equations |
| spellingShingle | Tatjana Garbuza Results for sixth order positively homogeneous equations Mathematical Modelling and Analysis differential equations of 6‐th order equations with asymmetric nonlinearities conjugate points positive homogeneous equations |
| title | Results for sixth order positively homogeneous equations |
| title_full | Results for sixth order positively homogeneous equations |
| title_fullStr | Results for sixth order positively homogeneous equations |
| title_full_unstemmed | Results for sixth order positively homogeneous equations |
| title_short | Results for sixth order positively homogeneous equations |
| title_sort | results for sixth order positively homogeneous equations |
| topic | differential equations of 6‐th order equations with asymmetric nonlinearities conjugate points positive homogeneous equations |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/6514 |
| work_keys_str_mv | AT tatjanagarbuza resultsforsixthorderpositivelyhomogeneousequations |