Variational analysis to fourth-order impulsive differential equations
Applying two critical point theorems, we prove the existence of at least three solutions for a one-dimensional fourth-order impulsive differential equation with two real parameters.
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Format: | Article |
Language: | English |
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Sociedade Brasileira de Matemática
2018-02-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
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Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38427 |
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author | Saeid Shokooh |
author_facet | Saeid Shokooh |
author_sort | Saeid Shokooh |
collection | DOAJ |
description |
Applying two critical point theorems, we prove the existence of at
least three solutions for a one-dimensional fourth-order impulsive differential equation with two real parameters.
|
first_indexed | 2024-03-11T11:43:16Z |
format | Article |
id | doaj.art-28a3f6244006492daa16da24afdd8bf2 |
institution | Directory Open Access Journal |
issn | 0037-8712 2175-1188 |
language | English |
last_indexed | 2024-03-11T11:43:16Z |
publishDate | 2018-02-01 |
publisher | Sociedade Brasileira de Matemática |
record_format | Article |
series | Boletim da Sociedade Paranaense de Matemática |
spelling | doaj.art-28a3f6244006492daa16da24afdd8bf22023-11-09T18:21:55ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-02-0138110.5269/bspm.v38i1.38427Variational analysis to fourth-order impulsive differential equationsSaeid Shokooh0Gonbad Kavous University Faculty of Sciences Department of Mathematics Applying two critical point theorems, we prove the existence of at least three solutions for a one-dimensional fourth-order impulsive differential equation with two real parameters. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38427Ricceri variational principleThree solutionsFourth-order equations |
spellingShingle | Saeid Shokooh Variational analysis to fourth-order impulsive differential equations Boletim da Sociedade Paranaense de Matemática Ricceri variational principle Three solutions Fourth-order equations |
title | Variational analysis to fourth-order impulsive differential equations |
title_full | Variational analysis to fourth-order impulsive differential equations |
title_fullStr | Variational analysis to fourth-order impulsive differential equations |
title_full_unstemmed | Variational analysis to fourth-order impulsive differential equations |
title_short | Variational analysis to fourth-order impulsive differential equations |
title_sort | variational analysis to fourth order impulsive differential equations |
topic | Ricceri variational principle Three solutions Fourth-order equations |
url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38427 |
work_keys_str_mv | AT saeidshokooh variationalanalysistofourthorderimpulsivedifferentialequations |