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

被引：3

作者：

Saker, Samir H. ^{[1
]}

Agarwal, Ravi P. ^{[2
,3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt

[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

fourth-order differential equations; bending of beams; Opial and Wirtinger inequalities; INEQUALITIES; CRITERIA; ZEROS;

D O I：

10.1186/1029-242X-2013-278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：15

共 50 条

[1] Properties of solutions of fourth-order differential equations with boundary conditions
Samir H Saker
Ravi P Agarwal
Donal O’Regan
Journal of Inequalities and Applications, 2013
[2] SOLUTIONS TO FOURTH-ORDER RANDOM DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS
Han, Xiaoling
Ma, Xuan
Dai, Guowei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[3] Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions
Jankowski, Tadeusz
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (05) : 1289 - 1299
[4] Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions
Zhou, Yaling
Zhang, XueMei
BOUNDARY VALUE PROBLEMS, 2015,
[5] Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions
Yaling Zhou
XueMei Zhang
Boundary Value Problems, 2015
[6] EXISTENCE OF SOLUTIONS FOR FOURTH-ORDER DIFFERENTIAL INCLUSIONS WITH BOUNDARY CONDITIONS
Rezaiguia, A.
Kelaiaia, S.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2022, 91 (03): : 235 - 246
[7] Conditions for maximal regularity of solutions to fourth-order differential equations
Moldagali, Ye. O.
Ospanov, K. N.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS SERIES, 2024, 116 (04): : 149 - 158
[8] Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations
Cesarano, Clemente
Pinelas, Sandra
Al-Showaikh, Faisal
Bazighifan, Omar
SYMMETRY-BASEL, 2019, 11 (05):
[9] Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters
Jiang, Ruiting
Zhai, Chengbo
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (03): : 401 - 422
[10] Nonlinear differential equations of fourth-order: Qualitative properties of the solutions
Bazighifan, Omar
AIMS MATHEMATICS, 2020, 5 (06): : 6436 - 6447

← 1 2 3 4 5 →