Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device

G. Bonanno; A. Chinnì; D. O’Regan

doi:10.1007/978-3-030-56323-3_20

Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device

G. Bonanno
, A. Chinnì
, D. O’Regan

Mathematics

Dipartimento DIMED

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

1 Citation (Scopus)

Abstract

Under appropriate conditions on the nonlinear term, the existence of multiple solutions for a fourth-order problem is established. The result, obtained by variational techniques, is completed by applications and examples.

Original language	English
Title of host publication	Differential and Difference Equations with Applications, ICDDEA 2019
Editors	Sandra Pinelas, Sandra Pinelas, John R. Graef, Stefan Hilger, Peter Kloeden, Christos Schinas
Publisher	Springer
Pages	255-263
Number of pages	9
ISBN (Print)	9783030563226
DOIs	https://doi.org/10.1007/978-3-030-56323-3_20
Publication status	Published - 2020
Event	4th International Conference on Differential and Difference Equations with Applications, ICDDEA 2019 - Lisbon, Portugal Duration: 1 Jul 2019 → 5 Jul 2019

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	333
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	4th International Conference on Differential and Difference Equations with Applications, ICDDEA 2019
Country/Territory	Portugal
City	Lisbon
Period	1/07/19 → 5/07/19

Keywords

Critical points
Fourth-order equations
Variational methods

Access to Document

10.1007/978-3-030-56323-3_20

Cite this

Bonanno, G., Chinnì, A., & O’Regan, D. (2020). Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device. In S. Pinelas, S. Pinelas, J. R. Graef, S. Hilger, P. Kloeden, & C. Schinas (Eds.), Differential and Difference Equations with Applications, ICDDEA 2019 (pp. 255-263). (Springer Proceedings in Mathematics and Statistics; Vol. 333). Springer . https://doi.org/10.1007/978-3-030-56323-3_20

Bonanno, G. ; Chinnì, A. ; O’Regan, D. / Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device. Differential and Difference Equations with Applications, ICDDEA 2019. editor / Sandra Pinelas ; Sandra Pinelas ; John R. Graef ; Stefan Hilger ; Peter Kloeden ; Christos Schinas. Springer , 2020. pp. 255-263 (Springer Proceedings in Mathematics and Statistics).

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title = "Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device",

abstract = "Under appropriate conditions on the nonlinear term, the existence of multiple solutions for a fourth-order problem is established. The result, obtained by variational techniques, is completed by applications and examples.",

keywords = "Critical points, Fourth-order equations, Variational methods",

author = "G. Bonanno and A. Chinn{\`i} and D. O{\textquoteright}Regan",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 4th International Conference on Differential and Difference Equations with Applications, ICDDEA 2019 ; Conference date: 01-07-2019 Through 05-07-2019",

year = "2020",

doi = "10.1007/978-3-030-56323-3\_20",

language = "English",

isbn = "9783030563226",

series = "Springer Proceedings in Mathematics and Statistics",

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booktitle = "Differential and Difference Equations with Applications, ICDDEA 2019",

}

Bonanno, G, Chinnì, A & O’Regan, D 2020, Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device. in S Pinelas, S Pinelas, JR Graef, S Hilger, P Kloeden & C Schinas (eds), Differential and Difference Equations with Applications, ICDDEA 2019. Springer Proceedings in Mathematics and Statistics, vol. 333, Springer , pp. 255-263, 4th International Conference on Differential and Difference Equations with Applications, ICDDEA 2019, Lisbon, Portugal, 1/07/19. https://doi.org/10.1007/978-3-030-56323-3_20

Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device. / Bonanno, G.; Chinnì, A.; O’Regan, D.
Differential and Difference Equations with Applications, ICDDEA 2019. ed. / Sandra Pinelas; Sandra Pinelas; John R. Graef; Stefan Hilger; Peter Kloeden; Christos Schinas. Springer , 2020. p. 255-263 (Springer Proceedings in Mathematics and Statistics; Vol. 333).

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

TY - GEN

T1 - Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device

AU - Bonanno, G.

AU - Chinnì, A.

AU - O’Regan, D.

PY - 2020

Y1 - 2020

N2 - Under appropriate conditions on the nonlinear term, the existence of multiple solutions for a fourth-order problem is established. The result, obtained by variational techniques, is completed by applications and examples.

AB - Under appropriate conditions on the nonlinear term, the existence of multiple solutions for a fourth-order problem is established. The result, obtained by variational techniques, is completed by applications and examples.

KW - Critical points

KW - Fourth-order equations

KW - Variational methods

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DO - 10.1007/978-3-030-56323-3_20

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AN - SCOPUS:85096510697

SN - 9783030563226

T3 - Springer Proceedings in Mathematics and Statistics

SP - 255

EP - 263

BT - Differential and Difference Equations with Applications, ICDDEA 2019

A2 - Pinelas, Sandra

A2 - Graef, John R.

A2 - Hilger, Stefan

A2 - Kloeden, Peter

A2 - Schinas, Christos

PB - Springer

T2 - 4th International Conference on Differential and Difference Equations with Applications, ICDDEA 2019

Y2 - 1 July 2019 through 5 July 2019

ER -

Bonanno G, Chinnì A, O’Regan D. Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device. In Pinelas S, Pinelas S, Graef JR, Hilger S, Kloeden P, Schinas C, editors, Differential and Difference Equations with Applications, ICDDEA 2019. Springer . 2020. p. 255-263. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-030-56323-3_20

Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device

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