ON THE OSCILLATORY BEHAVIOR OF SOLUTIONS OF FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

El-Sheikh, M. M. A. ^{[1
,2
]}

Abuoof, H. ^{[1
]}

机构：

[1] Taibah Univ, Fac Sci, Dept Math, Madinah, Saudi Arabia

[2] Menoufia Univ, Fac Sci, Dept Math, Shibin Al Kawm, Egypt

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2012年 / 9卷 / 01期

关键词：

fourth order nonlinear differential equations; nonoscillatory solution; oscillatory solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some oscillation and nonoscillation criteria for general types of fourth order nonlinear differential equations are deduced. Examples are given to illustrate the obtained results.

引用

页码：63 / 73

页数：11

共 50 条

[41] More Effective Conditions for Testing the Oscillatory Behavior of Solutions to a Class of Fourth-Order Functional Differential Equations
Alrashdi, Hail S.
Moaaz, Osama
Askar, Sameh S.
Alshamrani, Ahmad M.
Elabbasy, Elmetwally M.
AXIOMS, 2023, 12 (11)
[42] Instability of solutions for certain nonlinear vector differential equations of fourth order
Tunc, C.
NONLINEAR OSCILLATIONS, 2009, 12 (01): : 123 - 132
[43] On the structure of positive solutions of a class of fourth order nonlinear differential equations
Kusano Takaŝi
Tomoyuki Tanigawa
Annali di Matematica Pura ed Applicata, 2006, 185 : 521 - 536
[44] Periodic solutions of some fourth-order nonlinear differential equations
Bereanu, Cristian
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 53 - 57
[45] PERIODIC SOLUTIONS FOR SOME FULLY NONLINEAR FOURTH ORDER DIFFERENTIAL EQUATIONS
Minhos, Feliz
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 1068 - 1077
[46] Homoclinic solutions for nonlinear general fourth-order differential equations
Carrasco, Hugo
Minhos, Feliz
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (16) : 5768 - 5776
[47] Nonlinear fourth-order differential equations with solutions in the form of transcendents
Kudryashov, NA
THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 122 (01) : 58 - 71
[48] On the structure of positive solutions of a class of fourth order nonlinear differential equations
Takasi, Kusano
Tanigawa, Tomoyuki
ANNALI DI MATEMATICA PURA ED APPLICATA, 2006, 185 (04) : 521 - 536
[49] ON THE INSTABILITY OF THE SOLUTIONS OF SOME NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF FOURTH ORDER
Tunc, Cemil
MISKOLC MATHEMATICAL NOTES, 2010, 11 (02) : 191 - 200
[50] Stability and square integrability of solutions of nonlinear fourth order differential equations
Remili, Moussadek
Rahmane, Mebrouk
BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, 2016, 4 (01): : 21 - 37

← 1 2 3 4 5 →