ULTIMATE BOUNDEDNESS OF SOLUTIONS OF SOME SYSTEM OF THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Abdurasid, Ayinla A. ^{[1
]}

Aduloju, Kehinde D. ^{[2
]}

Raji, Musiliu T. ^{[2
]}

Vincent, Olufunke R. ^{[3
]}

Omeike, Mathew O. ^{[2
]}

机构：

[1] Lagos State Univ Sci & Technol, Dept Math Sci, Ikorodu, Lagos State, Nigeria

[2] Fed Univ Agr, Dept Math, Abeokuta, Ogun State, Nigeria

[3] Fed Univ Agr, Dept Comp Sci, Abeokuta, Ogun State, Nigeria

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2025年 / 49卷 / 05期

关键词：

Ultimate boundedness; Lyapunov function; system of third-order nonlinear differential equations; STABILITY;

D O I：

10.46793/KgJMat2505.727A

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents sufficient conditions for the ultimate boundedness of solutions of some system of third-order nonlinear differential equations X +Psi( X-center dot) X<spacing diaeresis> + (X) X-center dot + H(X) = P(t, X, X-center dot, X<spacing diaeresis>), ... where Psi, are positive definite symmetric matrices, H, P are n-vectors continuous in their respective arguments, X is an element of Ilgn and t is an element of Ilg+ = [0, +infinity). We do not necessarily require H(X) differentiable to obtain our results. By using the Lyapunov's direct (second) method and constructing a complete Lyapunov function, earlier results are generalized.

引用

页码：727 / 740

页数：14

共 35 条

[1]

Afuwape A. U., 1985, Analisi Funzionale E Application (N.I.), V6, P99

[2]

Afuwape A. U., 2004, Facultas Rerum Naturalium. Mathematica, V43, P7

[3] ULTIMATE BOUNDEDNESS RESULTS FOR A CERTAIN SYSTEM OF 3RD-ORDER NON-LINEAR DIFFERENTIAL-EQUATIONS [J].

AFUWAPE, AU .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 97 (01) :140-150

[4]

Chukwu E. N., 1975, Ann. Mat. Pura Appl., V104, P123, DOI [10.1007/BF02417013, DOI 10.1007/BF02417013]

[5]

Ezeilo J. O. C., 1978, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., V55, P51

[6]

Ezeilo J. O. C., 1966, Ann. Mat. Pura Appl., V74, P283, DOI [10.1007/bf02416460, DOI 10.1007/BF02416460]

[7]

Ezeilo J. O. C., 1960, Q J MATH, V11, P64, DOI [10.1093/qmath/11.1.64, DOI 10.1093/QMATH/11.1.64]

[8]

Ezeilo J. O. C., 1973, Equations Differentielles et Functionalles Non-lineares, P447

[9]

Ezeilo J. O. C., 1963, J. Lond. Math. Soc., V38, P11, DOI [10.1112/jlms/s1-38.1.11, DOI 10.1112/JLMS/S1-38.1.11]

[10] N-DIMENSIONAL EXTENSIONS OF BOUNDEDNESS AND STABILITY THEOREMS FOR SOME THIRD ORDER DIFFERENTIAL EQUATIONS [J].

EZEILO, JOC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 18 (03) :395-&

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