Back to Search
Start Over
On Poncelet problem, Abel equation and a Goursat-type boundary value problem.
- Source :
-
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics . 7/30/2022, Vol. 37 Issue 20/21, p1-11. 11p. - Publication Year :
- 2022
-
Abstract
- This paper explains a connection between the famous Poncelet problem, the Abel equation, a new moment problem, problems of solution existence and uniqueness of boundary value problems for the string equation and some others in short presentation. We prove a connection of above problem with one problem of Goursat-type for a hyperbolic-like equation of fourth order. We consider a fourth-order differential equation with two multiple characteristics and parameters in the lower terms and a Goursat-type homogeneous boundary value problem with two real boundary conditions in some space of real entire functions. It is proven that this problem has a nontrivial solution in some space if and only if a parameter belongs denumerable dense set of real number. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0217751X
- Volume :
- 37
- Issue :
- 20/21
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
- Publication Type :
- Academic Journal
- Accession number :
- 159582775
- Full Text :
- https://doi.org/10.1142/S0217751X22430072