Abstract：The oscillatory problems of solutions for a class of nonlinear delay hyperbolic distributed parameter systems are studied. By using integral averaging method, generalized Riccati transformation and type function, some new sufficient criteria are established for oscillation of all solutions of the systems under third boundary value condition. The obtained results fully show that the oscillation is caused by delay and its effectiveness is illustrated by an example.
罗李平，曾云辉，罗振国. 一类非线性时滞双曲型分布参数系统的振动条件[J]. 振动与冲击, 2022, 41(4): 1-3.
LUO Liping，ZENG Yunhui，LUO Zhenguo. Oscillation conditions of a class of nonlinear delay hyperbolic distributed parameter systems. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(4): 1-3.
[1]LUO L P, LUO Z G, ZENG Y H. New results for oscillation of fractional partial differential equations with damping term[J].Discrete and Continuous Dynamical Systems Series S,2021,14(9):3223-3231.
[2]罗李平,罗振国,曾云辉.一类非线性脉冲中立抛物型分布参数系统的振动条件[J].数学物理学报,2020,40A(3):784-795.
(LUO Liping, LUO Zhenguo, ZENG Yunhui. Oscillation conditions of certain nonlinear impulsive neutral parabolic distributed parameter systems[J].Acta Mathematica Scientia,2020,40A(3):784-795.)
[3]LUO Z G, LUO L P, ZENG Y H. Oscillation results for BVPs of even order nonlinear neutral partial differential equations[J].Journal of Nonlinear Modeling and Analysis,2019,1(2):261-270.
[4]罗李平,罗振国,邓义华.脉冲扰动对非线性时滞双曲型分布参数系统振动的影响[J].数学物理学报,2018,38A(2):313-321.
(LUO Liping, LUO Zhenguo, DENG Yihua. Effect of impulsive perturbations on oscillation of nonlinear delay hyperbolic distributed parameter systems[J].Acta Mathematica Scientia,2018,38A(2):313-321.)
[5]罗李平,罗振国,杨柳.具脉冲扰动和时滞效应的拟线性抛物系统的(强)振动分析[J].应用数学学报,2016,39(1):21-30.
(LUO Liping, LUO Zhenguo, YANG Liu. (Strong) oscillation analysis of quasilinear parabolic systems with impulse perturbation and delay effect[J].Acta Mathematicae Applicatae Sinica,2016,39(1):21-30.)
[6]马晴霞,刘安平.脉冲时滞中立双曲型方程组的振动性[J]数学物理学报,2016,36A(3):462-472.
(MA Qingxia, LIU Anping. Oscillation of neutral impulsive hyperbolic Systems with deviating arguments[J].Acta Mathematica Scientia,2016,36A(3):462-472.)
[7]HARIKRISHNAN S, PRAKASH S P, NIETO J J. Forced oscillation of nonlinear impulsive functional hyperbolic differential system[J].Communications in Applied Analysis,2014,18(3):523-536.
[8]MA Q X, LIU A P. Oscillation criteria of neutral type impulsive hyperbolic equations[J].Acta Mathematica Scientia,2014,34B(6):1845-1853.
[9]Ning X Q, You S J. Oscillation of the systems of impulsive hyperbolic partial differential equations[J].Journal of Chemical and Pharmaceutical Research,2014,6(7):1370-1377.
[10]罗李平,曾云辉,罗振国.具脉冲和时滞效应的拟线性双曲系统的振动性定理[J].应用数学学报,2014,37(5):824-834.
(LUO Liping, Zeng Yunhui, LUO Zhenguo. Oscillation theorems of quasilinear hyperbolic systems with effect of impulse and delay[J].Acta Mathematicae Applicatae Sinica,2014,37(5):824-834.)
