Uniform ultimate boundedness of the solutions of third-order nonlinear differential equations

被引：0

作者：

Tunc, C ^{[1
]}

机构：

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

来源：

KUWAIT JOURNAL OF SCIENCE & ENGINEERING | 2005年 / 32卷 / 01期

关键词：

boundedness; Lyapunov function; third-order differential equations;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We obtain some sufficient conditions which ensure that all solutions of son-le nonlinear third-order differential equations are uniformly ultimately bounded.

引用

页码：39 / 48

页数：10

共 13 条

[1] LIAPUNOV-FUNCTIONS AND BOUNDEDNESS
BURTON, TA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 58 (01) : 88 - 97
[2] Chukwu E.N., 1975, Ann. Mat. Pura Appl., V155, P123
[3] GENERALIZATION OF SOME BOUNDEDNESS RESULTS BY REISSIG AND TEJUMOLA
EZEILO, JOC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 41 (02) : 411 - 419
[4] EZEILO JOC, 1968, ANN MAT PUR APPL, V80, P281
[5] ON THE UNIFORM ULTIMATE BOUNDEDNESS OF THE SOLUTIONS OF CERTAIN 3RD ORDER DIFFERENTIAL-EQUATIONS
HARA, T
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) : 533 - 544
[6] HARA T, 1973, PUBL RES I MATH SCI, V9, P649
[7] HARA T, 1975, OSAKA J MATH, V12, P267
[8] STABILITY AND BOUNDEDNESS OF SOLUTIONS OF CERTAIN THIRD ORDER DIFFERENTIAL EQUATIONS
MULLER, W
[J]. MATHEMATISCHE NACHRICHTEN, 1969, 41 (4-6) : 335 - &
[9] Reissig R, 1974, Non-linear differential equations of higher order
[10] Swick K. E., 1970, ANN MAT PUR APPL, V86, P169

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