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

[31] Global Bifurcation for Fourth-Order Differential Equations with Periodic Boundary-Value Conditions
Yanqiong Lu
Ruyun Ma
Tianlan Chen
Mathematical Notes, 2019, 106 : 248 - 257
[32] On Solutions of Boundary Value Problem for Fourth-Order Beam Equations
Bougoffa, Lazhar
Rach, Randolph
Wazwaz, Abdul-Majid
MATHEMATICAL MODELLING AND ANALYSIS, 2016, 21 (03) : 304 - 318
[33] Oscillatory Properties of Fourth-Order Advanced Differential Equations
Almutairi, Alanoud
Ali, Ali Hasan
Bazighifan, Omar
Iambor, Loredana Florentina
MATHEMATICS, 2023, 11 (06)
[34] Boundary decay estimates for solutions of fourth-order elliptic equations
Barbatis, Gerassimos
ARKIV FOR MATEMATIK, 2007, 45 (02): : 197 - 219
[35] Nonlinear fourth-order elliptic equations with nonlocal boundary conditions
Pao, C. V.
Wang, Yuan-Ming
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 372 (02) : 351 - 365
[36] Fully nonlinear fourth-order equations with functional boundary conditions
Cabada, A.
Minhos, F. M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 239 - 251
[37] Formation of boundary layers for singularly perturbed fourth-order ordinary differential equations with the Lidstone boundary conditions
Vrabel, R.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 440 (01) : 65 - 73
[38] PROPERTIES OF SOLUTIONS OF FOURTH-ORDER NONLINEAR EVOLUTION EQUATIONS
Duan, Ning
Zhao, Xiaopeng
Liu, Bo
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[39] Homoclinic solutions for nonlinear general fourth-order differential equations
Carrasco, Hugo
Minhos, Feliz
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (16) : 5768 - 5776
[40] Fourth-Order Differential Equations: Asymptotic and Oscillatory Behaviors of Solutions
Almutairi, Alanoud
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):

← 1 2 3 4 5 →