Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity

Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity

In this paper, we consider the existence of a non-trivial solution for a class of fourth-order elastic beam equations involving Lipschitz non-linearity with Navier boundary value condition. The technical approach is essentially based on a critical point theorem. As an application, an example is pres...

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Bibliographic Details
Main Author: Mohsen Khaleghi Moghadam
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
fourth-order equations
critical point
non-trivial solution
Online Access:http://dx.doi.org/10.1080/23311835.2016.1226040
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spelling doaj-2a31484a2e504a6598c2844447895a122020-11-24T21:23:53ZengTaylor & Francis GroupCogent Mathematics2331-18352016-12-013110.1080/23311835.2016.12260401226040Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearityMohsen Khaleghi Moghadam0Sari Agricultural Sciences and Natural Resources UniversityIn this paper, we consider the existence of a non-trivial solution for a class of fourth-order elastic beam equations involving Lipschitz non-linearity with Navier boundary value condition. The technical approach is essentially based on a critical point theorem. As an application, an example is presented.http://dx.doi.org/10.1080/23311835.2016.1226040fourth-order equationscritical pointnon-trivial solution
collection DOAJ
language English
format Article
sources DOAJ
author Mohsen Khaleghi Moghadam
spellingShingle Mohsen Khaleghi Moghadam
Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity
Cogent Mathematics
fourth-order equations
critical point
non-trivial solution
author_facet Mohsen Khaleghi Moghadam
author_sort Mohsen Khaleghi Moghadam
title Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity
title_short Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity
title_full Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity
title_fullStr Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity
title_full_unstemmed Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity
title_sort existence of a non-trivial solution for fourth-order elastic beam equations involving lipschitz non-linearity
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2016-12-01
description In this paper, we consider the existence of a non-trivial solution for a class of fourth-order elastic beam equations involving Lipschitz non-linearity with Navier boundary value condition. The technical approach is essentially based on a critical point theorem. As an application, an example is presented.
topic fourth-order equations
critical point
non-trivial solution
url http://dx.doi.org/10.1080/23311835.2016.1226040
work_keys_str_mv AT mohsenkhaleghimoghadam existenceofanontrivialsolutionforfourthorderelasticbeamequationsinvolvinglipschitznonlinearity
_version_ 1725990575585361920

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