BOUNDEDNESS RESULTS FOR SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER

被引：0

作者：

Tunc, Cemil ^{[1
]}

机构：

[1] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

来源：

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY | 2010年 / 16卷 / 02期

关键词：

Nonautonomous; differential equation; second order; boundedness; uniform boundedness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some new sufficient conditions which guaranteethe boundedness and the uniform boundedness of solutions of certain nonlinearand nonautonomous differential equations of second order. By defining appropriateLiapunov functions, we obtain some new results on the subject, and examples arealso provided to illustrate the feasibility of the proposed results. By this work, weextend and improve some boundedness results in the literature.

引用

页码：115 / 126

页数：12

共 50 条

[1] BOUNDEDNESS THEOREMS FOR CERTAIN SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
CHANG, SH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 31 (03) : 509 - &
[2] ON BOUNDEDNESS OF SOLUTIONS OF CERTAIN SECOND-ORDER DIFFERENTIAL EQUATIONS
LALLI, BS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 25 (01) : 182 - &
[3] Stability and Boundedness Results for Solutions of Certain Third Order Nonlinear Vector Differential Equations
Cemil Tunç
Muzaffer Ateş
[J]. Nonlinear Dynamics, 2006, 45 : 273 - 281
[4] ULTIMATE BOUNDEDNESS RESULTS FOR SOLUTIONS OF CERTAIN THIRD ORDER NONLINEAR MATRIX DIFFERENTIAL EQUATIONS
Omeike, M. O.
Afiwape, A. U.
[J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2010, 33 : 83 - 94
[5] Stability and boundedness results for solutions of certain third order nonlinear vector differential equations
Tunc, Cemil
Ates, Muzaffer
[J]. NONLINEAR DYNAMICS, 2006, 45 (3-4) : 273 - 281
[6] A NOTE ON BOUNDEDNESS OF SOLUTIONS OF CERTAIN SECOND-ORDER DIFFERENTIAL EQUATIONS
ZARGHAMEE, MS
MEHRI, B
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 31 (03) : 504 - +
[7] Quasiperiodic solutions and boundedness of solutions for a class of nonlinear differential equations of second order
Yuan, R
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (5-6) : 649 - 664
[8] CONTINUABILITY AND BOUNDEDNESS OF SOLUTIONS TO NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
Wang, Lianwen
Mckee, Rhonda
Usyk, Larysa
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[9] Some new stability and boundedness results on the solutions of the nonlinear vector differential equations of second order
Tunc, C.
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2006, 30 (A2): : 213 - 221
[10] Periodicity, Stability, and Boundedness of Solutions to Certain Second Order Delay Differential Equations
Ademola, A. T.
Ogundare, B. S.
Ogundiran, M. O.
Adesina, O. A.
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016

← 1 2 3 4 5 →