On a solvable class of nonlinear difference equations of fourth order
We consider a class of nonlinear difference equations of the fourth order, which extends some equations in the literature. It is shown that the class of equations is solvable in closed form explaining theoretically, among other things, solvability of some previously considered very special cases. We...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2022-08-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10030 |
| _version_ | 1797830479183872000 |
|---|---|
| author | Stevo Stevic Bratislav Iricanin Witold Kosmala Zdenek Smarda |
| author_facet | Stevo Stevic Bratislav Iricanin Witold Kosmala Zdenek Smarda |
| author_sort | Stevo Stevic |
| collection | DOAJ |
| description | We consider a class of nonlinear difference equations of the fourth order, which extends some equations in the literature. It is shown that the class of equations is solvable in closed form explaining theoretically, among other things, solvability of some previously considered very special cases. We also present some applications of the main theorem through two examples, which show that some results in the literature are not correct. |
| first_indexed | 2024-04-09T13:36:45Z |
| format | Article |
| id | doaj.art-f6e82dfbafea4fdd91c1db6401291274 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:36:45Z |
| publishDate | 2022-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f6e82dfbafea4fdd91c1db64012912742023-05-09T07:53:12ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752022-08-0120223711710.14232/ejqtde.2022.1.3710030On a solvable class of nonlinear difference equations of fourth orderStevo Stevic0Bratislav Iricanin1Witold Kosmala2Zdenek Smarda3Mathematical Institute of the Serbian Academy of Sciences, Beograd, SerbiaFaculty of Electrical Engineering, Belgrade University, Belgrade, SerbiaDeptartment of Mathematical Sciences, Appalachian State University, Boone, NC, U.S.A.Brno University of Technology, Brno, Czech RepublicWe consider a class of nonlinear difference equations of the fourth order, which extends some equations in the literature. It is shown that the class of equations is solvable in closed form explaining theoretically, among other things, solvability of some previously considered very special cases. We also present some applications of the main theorem through two examples, which show that some results in the literature are not correct.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10030nonlinear difference equationsolvable difference equationgeneral solutionclosed-form formula for solutions |
| spellingShingle | Stevo Stevic Bratislav Iricanin Witold Kosmala Zdenek Smarda On a solvable class of nonlinear difference equations of fourth order Electronic Journal of Qualitative Theory of Differential Equations nonlinear difference equation solvable difference equation general solution closed-form formula for solutions |
| title | On a solvable class of nonlinear difference equations of fourth order |
| title_full | On a solvable class of nonlinear difference equations of fourth order |
| title_fullStr | On a solvable class of nonlinear difference equations of fourth order |
| title_full_unstemmed | On a solvable class of nonlinear difference equations of fourth order |
| title_short | On a solvable class of nonlinear difference equations of fourth order |
| title_sort | on a solvable class of nonlinear difference equations of fourth order |
| topic | nonlinear difference equation solvable difference equation general solution closed-form formula for solutions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10030 |
| work_keys_str_mv | AT stevostevic onasolvableclassofnonlineardifferenceequationsoffourthorder AT bratislaviricanin onasolvableclassofnonlineardifferenceequationsoffourthorder AT witoldkosmala onasolvableclassofnonlineardifferenceequationsoffourthorder AT zdeneksmarda onasolvableclassofnonlineardifferenceequationsoffourthorder |