BOUNDEDNESS AND SQUARE INTEGRABILITY OF SOLUTIONS OF CERTAIN THIRD-ORDER DIFFERENTIAL EQUATIONS

被引:5
作者
Beldjerd, Djamila [1 ]
Remili, Moussadek [1 ]
机构
[1] Univ Oran 1 Ahmed Ben Bella, Dept Math, Oran 31000, Algeria
来源
MATHEMATICA BOHEMICA | 2018年 / 143卷 / 04期
关键词
third-order differential equation; boundedness; square integrability;
D O I
10.21136/MB.2018.0029-17
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish some new sufficient conditions which guarantee the boundedness and square integrability of solutions of certain third order differential equation. Example is included to illustrate the results. By this work, we extend and improve some results in the literature.
引用
收藏
页码:377 / 389
页数:13
相关论文
共 28 条
[1]  
Afuwape A. U., 2004, ACTA U PALACK OLOMUC, V43, P7
[2]  
AFUWAPE AU, 1985, B UNIONE MAT ITAL, V4C, P342
[3]  
[Anonymous], 2015, PANAMER MATH J
[4]  
Elsgol'ts L.E, 1966, INTRO THEORY DIFFERE
[5]  
Graef J. R., 2015, DYNAM CONT DIS SER A, V22, P313
[6]  
Omeike M, 2010, DIFFER EQUAT APPL, V2, P39
[7]  
Omeike M, 2009, AN STIINT U AL I-MAT, V55, P49
[8]  
Omeike MO., 2010, DIFFER URAVN PROTSES, V2010, P18
[9]   On global stability of third-order nonlinear differential equations [J].
Qian, CX .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (04) :651-661
[10]   Asymptotic behavior of a third-order nonlinear differential equation [J].
Qian, CX .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 284 (01) :191-205