Estimation of turning point location of convex solutions for nonlinear second-order differential equations
In this paper, we study the existence and location of turning points of the convex solutions for a certain class of the ordinary differential equations subject to the Dirichlet boundary conditions. We propose a practical and effective method for calculating the lower and upper bounds of turning poi...
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Vilnius Gediminas Technical University
2012-11-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/4900 |
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doaj-3eecb44f2ea345cdb737fa180c848ab02021-07-02T09:50:32ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102012-11-0117510.3846/13926292.2012.734865Estimation of turning point location of convex solutions for nonlinear second-order differential equationsRobert Vrabel0Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology Hajdoczyho 1, 917 01 Trnava, Slovakia In this paper, we study the existence and location of turning points of the convex solutions for a certain class of the ordinary differential equations subject to the Dirichlet boundary conditions. We propose a practical and effective method for calculating the lower and upper bounds of turning point location. https://journals.vgtu.lt/index.php/MMA/article/view/4900boundary value problemsecond-order equationnonlinear differential equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Robert Vrabel |
| spellingShingle |
Robert Vrabel Estimation of turning point location of convex solutions for nonlinear second-order differential equations Mathematical Modelling and Analysis boundary value problem second-order equation nonlinear differential equation |
| author_facet |
Robert Vrabel |
| author_sort |
Robert Vrabel |
| title |
Estimation of turning point location of convex solutions for nonlinear second-order differential equations |
| title_short |
Estimation of turning point location of convex solutions for nonlinear second-order differential equations |
| title_full |
Estimation of turning point location of convex solutions for nonlinear second-order differential equations |
| title_fullStr |
Estimation of turning point location of convex solutions for nonlinear second-order differential equations |
| title_full_unstemmed |
Estimation of turning point location of convex solutions for nonlinear second-order differential equations |
| title_sort |
estimation of turning point location of convex solutions for nonlinear second-order differential equations |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2012-11-01 |
| description |
In this paper, we study the existence and location of turning points of the convex solutions for a certain class of the ordinary differential equations subject to the Dirichlet boundary conditions. We propose a practical and effective method for calculating the lower and upper bounds of turning point location.
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| topic |
boundary value problem second-order equation nonlinear differential equation |
| url |
https://journals.vgtu.lt/index.php/MMA/article/view/4900 |
| work_keys_str_mv |
AT robertvrabel estimationofturningpointlocationofconvexsolutionsfornonlinearsecondorderdifferentialequations |
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1721332750964752384 |