Zobrazeno 1 - 10
of 13
pro vyhledávání: '"K. K. D. Adjaï"'
Publikováno v:
AIMS Mathematics, Vol 7, Iss 8, Pp 15195-15211 (2022)
In the attractive research field of nonlinear differential equations, there are a few studies devoted to finding exact and explicit harmonic and isochronous periodic solutions and limit cycles. In this contribution, we present some classes of polynom
Externí odkaz:
https://doaj.org/article/9287438851ed4d7c81993c71152123ba
Generally, second-order differential equations are mapped onto first-order equations to determine their solutions. In the present paper, first-order differential equations with well-known analytic properties are transformed into new or known nonauton
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e900e53bccbc9f1ffaa204f60cdbea5
https://doi.org/10.21203/rs.3.rs-2503824/v1
https://doi.org/10.21203/rs.3.rs-2503824/v1
Publikováno v:
International Journal of Applied and Computational Mathematics. 9
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9233f43e8022a174336832c9a42facff
https://doi.org/10.1007/s40819-023-01488-5
https://doi.org/10.1007/s40819-023-01488-5
In this paper, we show the existence of damped Mathieu and periodic Lienard-type equations that can be solved in an explicit way or by quadrature. We prove for the first time an isochronous periodic solution for a Lienard-type equation with periodic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::730169ed16e9b59d720f46ade2010429
https://doi.org/10.21203/rs.3.rs-2459144/v1
https://doi.org/10.21203/rs.3.rs-2459144/v1
Publikováno v:
International Journal of Analysis and Applications. 19:970-983
In this paper we present a general class of differential equations of Ermakov-Pinney type which may serve as truly nonlinear oscillators. We show the existence of periodic solutions by exact integration after the phase plane analysis. The related qua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ba08d866bf81393fdb02b8bedbec3f3
https://doi.org/10.28924/2291-8639-19-2021-970
https://doi.org/10.28924/2291-8639-19-2021-970
Although Jacobi elliptic functions have been known for almost two centuries, they are still the subject of intensive investigation. In this paper, contrary to the usual definition, we prove that the Jacobi elliptic functions can be defined by using n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15e2ade899b85a4841a20a92f998e975
https://doi.org/10.21203/rs.3.rs-1850856/v2
https://doi.org/10.21203/rs.3.rs-1850856/v2
Publikováno v:
International Journal of Applied and Computational Mathematics. 8
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67da7672eff5d17f067cd890ed1e0c75
https://doi.org/10.1007/s40819-021-01231-y
https://doi.org/10.1007/s40819-021-01231-y