Lyapunov-type inequality for higher order nonlinear time scale systems with anti-periodic boundary conditions

被引：0

作者：

Wu, Xin ^{[1
]}

Sun, Taixiang ^{[2
]}

机构：

[1] East China JiaoTong Univ, Sch Sci, Nanchang 330013, Peoples R China

[2] Guangxi ASEAN Res Ctr Finance & Econ, Nanning 530003, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年 / 70卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Lyapunov-type inequality; Time scale system; Higher order dynamic equation; Anti-periodic boundary condition; LINEAR HAMILTONIAN-SYSTEMS; DIFFERENTIAL-EQUATIONS; DYNAMIC EQUATIONS; OSCILLATION; STABILITY;

D O I：

10.1007/s12190-024-02221-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an anti-periodic boundary value problem for a class of higher order nonlinear time scale systems is studied. Based on the method of mathematical analysis and some inequality techniques, we construct a new Lyapunov-type inequality. Finally, we give some applications to illustrate the importance of our results.

引用

页码：6393 / 6410

页数：18

共 50 条

[1] LYAPUNOV-TYPE INEQUALITY FOR QUASILINEAR SYSTEMS WITH ANTI-PERIODIC BOUNDARY CONDITIONS
Aktas, Mustafa Fahri
Cakmak, Devrim
Tiryaki, Aydin
JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (02): : 313 - 320
[2] Lyapunov-type inequalities for two classes of nonlinear systems with anti-periodic boundary conditions
Cakmak, Devrim
APPLIED MATHEMATICS AND COMPUTATION, 2013, 223 : 237 - 242
[3] Lyapunov-type inequalities for certain higher order differential equations with anti-periodic boundary conditions
Wang, Youyu
APPLIED MATHEMATICS LETTERS, 2012, 25 (12) : 2375 - 2380
[4] Lyapunov-type inequality and existence of solution for a nonlinear fractional differential equation with anti-periodic boundary conditions
A. Hamiaz
Mathematical Sciences, 2024, 18 : 79 - 90
[5] Lyapunov-type inequality and existence of solution for a nonlinear fractional differential equation with anti-periodic boundary conditions
Hamiaz, A.
MATHEMATICAL SCIENCES, 2024, 18 (01) : 79 - 90
[6] LYAPUNOV-TYPE INEQUALITY FOR AN ANTI-PERIODIC CONFORMABLE BOUNDARY VALUE PROBLEM
Jonnalagadda, Jagan Mohan
Basua, Debananda
Satpathi, Dipak Kumar
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (02): : 289 - 298
[7] LYAPUNOV-TYPE INEQUALITY FOR AN ANTI-PERIODIC FRACTIONAL BOUNDARY VALUE PROBLEM
Ferreira, Rui A. C.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (01) : 284 - 291
[8] Lyapunov-Type Inequality for An Anti-Periodic Fractional Boundary Value Problem
Rui A. C. Ferreira
Fractional Calculus and Applied Analysis, 2017, 20 : 284 - 291
[9] Lyapunov-type inequalities for a class of higher-order linear differential equations with anti-periodic boundary conditions
Yang, Xiaojing
Lo, Kueiming
APPLIED MATHEMATICS LETTERS, 2014, 34 : 33 - 36
[10] Lyapunov-type inequalities for (m+1) th order half-linear differential equations with anti-periodic boundary conditions
Wang, Youyu
Cui, Yujiao
Li, Yannan
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (14) : 1 - 7

← 1 2 3 4 5 →