On the integration of first order nonlinear differential equations and the conditions of Fuchs' theorem

Autor: Arezki KESSİ, Toufik LAADJ, Moussa YAHİ

Publikováno v: Advances in the Theory of Nonlinear Analysis and its Application. 6:347-353

In this paper we give the general solutions of a class of first order nonlinear Fuchs ordinary differential equations. This leads us to show by an example that the necessary conditions of Fuchs' theorem are not sufficient.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7cc8498c842f14ca804994f0727851a8
https://doi.org/10.31197/atnaa.1059343

Algebraic intersection for translation surfaces in the stratum ℋ ( 2 )

Autor: Smaïl Cheboui, Arezki Kessi, Daniel Massart

Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2021, 359 (1), pp.65-70. ⟨10.5802/crmath.153⟩

We study the quantity $\mbox{KVol}$ defined as the supremum, over all pairs of closed curves, of their algebraic intersection, divided by the product of their lengths, times the area of the surface. The surfaces we consider live in the stratum $\math

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfb04fbd1000eccf9289fe62d688d0e2
https://hal.archives-ouvertes.fr/hal-03409993

On Sufficient Conditions for the Existence of Solutions for First Order Equations and Fourth Degree with the Painlevé Property

Autor: Khaled M’hamed-Messaoud, Arezki Kessi, Toufik Laadj

Publikováno v: Qualitative Theory of Dynamical Systems. 15:81-93

In this paper we consider the non linear Fuchs differential equation of order one and fourth degree with polynomial coefficients for the unknown and analytic in the variable. We give the sufficient conditions for Painleve property and we list some Fu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2b819ef173784968592405696d54a278
https://doi.org/10.1007/s12346-015-0144-1

Third order rational ordinary differential equations with integer indices of Fuchs

Autor: Arezki Kessi, Yassine Adjabi

Publikováno v: Applied Mathematics in Tunisia ISBN: 9783319180403

A series of papers was devoted to the investigation of third order ordinary differential equations of P-type. The interest in such problems is due to their applications in physics, chemistry, etc.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dffb007287072ba10481c87d5df26343
https://doi.org/10.1007/978-3-319-18041-0_9

Third order differential equations with fixed critical points

Autor: Ugurhan Mugan, Arezki Kessi, Yasin Adjabi, Fahd Jrad

Publikováno v: Applied mathematics and computation
Applied Mathematics and Computation

Cataloged from PDF version of article. The singular point analysis of third order ordinary differential equations which are algebraic in y and y′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as wel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10328515d2af8cb8c20cb8d2548e435d
https://hdl.handle.net/11693/22838