Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Cristian-Paul Danet"'
Autor:
Cristian-Paul Danet
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2022, Iss 53, Pp 1-22 (2022)
By using variational methods and maximum principles we discuss the existence, uniqueness and multiplicity of solutions for a semilinear sixth-order ODE. The main difference between our work and other related papers is that we treat a general case and
Externí odkaz:
https://doaj.org/article/bb69c8f8be51488c99926a987917d5e4
Autor:
Cristian-Paul Danet
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1280 (2023)
In this paper, we present a detailed study of a class of sixth-order semilinear PDEs: existence, regularity and uniqueness. The uniqueness results are a consequence of a maximum principle called the P-function method.
Externí odkaz:
https://doaj.org/article/0462a069fcf2435494d6c5125dc2f51a
Autor:
Cristian-Paul Danet
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 31, Pp 1-9 (2014)
We develop two maximum principles for a nonlinear equation of fourth order that arises in thin plate theory. As a consequence, we obtain uniqueness results for the corresponding fourth order boundary value problem under Navier boundary conditions as
Externí odkaz:
https://doaj.org/article/da00c599cab24789ba8bddf460637669
Autor:
Cristian-Paul Danet
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2011, Iss 54, Pp 1-12 (2011)
We develop maximum principles for several P functions which are defined on solutions to equations of fourth and sixth order (including a equation which arises in plate theory and bending of cylindrical shells). As a consequence, we obtain uniqueness
Externí odkaz:
https://doaj.org/article/02e92d2ce6484e9b8a13b07ecd0e5b29
Autor:
Cristian-Paul Danet
Publikováno v:
Journal of Applied Mathematics, Vol 2005, Iss 1, Pp 49-58 (2005)
We extend, sharpen, or give independent proofs of classical maximum principles. We also concentrate on maximum principles for equations of higher order. All proofs (except for one) are derived via comparison principles. The two parts maybe read indep
Externí odkaz:
https://doaj.org/article/ff24308fc06d4fa7b3a7e89ed03da846
Autor:
Cristian - Paul Danet
Publikováno v:
ANZIAM Journal. 61:305-319
This paper is concerned with the problem of existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem. The existence and uniqueness for weak solutions follows from standard variational methods, whil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::901bbb7dd00ebf69066cdc9077d7fe8a
https://doi.org/10.21914/anziamj.v61i0.14117
https://doi.org/10.21914/anziamj.v61i0.14117
Autor:
Cristian-Paul Danet
Publikováno v:
Differential Equations & Applications. :235-238
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75beb3af5c6e4b3c2d3b6459cc4b767a
https://doi.org/10.7153/dea-2018-10-16
https://doi.org/10.7153/dea-2018-10-16
Autor:
Cristian Paul Danet
Publikováno v:
ITM Web of Conferences, Vol 34, p 03005 (2020)
This paper is concerned with the problem of existence and uniqueness of solutions for the semilinear fourth-order differential equation uiv – ku′′ + a(x)u+c(x) f (u) = 0. Existence and uniqueness is proved using variational methods and maximum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a08fd47ae2c89f458dc8a81cdc56ae2f
https://www.itm-conferences.org/articles/itmconf/pdf/2020/04/itmconf_icamnm2020_03005.pdf
https://www.itm-conferences.org/articles/itmconf/pdf/2020/04/itmconf_icamnm2020_03005.pdf
Autor:
Cristian - Paul Danet
Publikováno v:
Mathematics and its Applications: Annals of the Academy of Romanian Scientists, Vol 7, Iss 1, Pp 137-156 (2015)
This paper gives a survey of an extension of the classical maximum principle, namely the P function method.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::6bc30f5c22df39acab5bd6af05fd0b5d
http://www.mathematics-and-its-applications.com/preview/june2015/data/articol9.pdf
http://www.mathematics-and-its-applications.com/preview/june2015/data/articol9.pdf
Autor:
Anita Mareno, Cristian Paul Danet
Publikováno v:
Mathematical Inequalities & Applications. :809-822
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd6fd43c21e957f937a31a0bee653bf7
https://doi.org/10.7153/mia-16-61
https://doi.org/10.7153/mia-16-61