Properties of solutions of fourth-order differential equations with boundary conditions

Samir H. Saker; Ravi P. Agarwal; Donal O'Regan

doi:10.1186/1029-242X-2013-278

Properties of solutions of fourth-order differential equations with boundary conditions

Samir H. Saker
, Ravi P. Agarwal
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, we establish some sufficient conditions for (2, 2)-disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy's inequality and some Opial-type inequalities. Some examples are considered to illustrate the main results.

Original language	English
Article number	278
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-278
Publication status	Published - Dec 2013

Keywords

Bending of beams
Fourth-order differential equations
Opial and Wirtinger inequalities

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10.1186/1029-242X-2013-278

Cite this

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title = "Properties of solutions of fourth-order differential equations with boundary conditions",

abstract = "In this paper, we establish some sufficient conditions for (2, 2)-disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy's inequality and some Opial-type inequalities. Some examples are considered to illustrate the main results.",

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AU - Saker, Samir H.

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

PY - 2013/12

Y1 - 2013/12

N2 - In this paper, we establish some sufficient conditions for (2, 2)-disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy's inequality and some Opial-type inequalities. Some examples are considered to illustrate the main results.

AB - In this paper, we establish some sufficient conditions for (2, 2)-disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy's inequality and some Opial-type inequalities. Some examples are considered to illustrate the main results.

KW - Bending of beams

KW - Fourth-order differential equations

KW - Opial and Wirtinger inequalities

UR - https://www.scopus.com/pages/publications/84894460157

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DO - 10.1186/1029-242X-2013-278

M3 - Article

SN - 1025-5834

VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 278

ER -

Properties of solutions of fourth-order differential equations with boundary conditions

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Keywords

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