Oscillation of Three-Dimensional Time Scale Systems with Fixed Point Theorems

被引:0
作者
Ozburka, Ozkan [1 ]
Higgins, Raegan [2 ]
Kittou, Georgia [3 ]
机构
[1] Giresun Univ, Fac Arts & Sci, Dept Math, Giresun, Turkey
[2] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
[3] Amer Univ Middle East, Coll Engn & Technol, Dept Math, Kuwait, Kuwait
关键词
three dimension; inequalities; existence; fixed point theorems; NONOSCILLATORY SOLUTIONS;
D O I
10.2298/FIL2106915O
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Oscillation and nonoscillation theories play very important roles in gaining information about the long-time behavior of solutions of a system. Therefore, we investigate the asymptotic behavior of nonoscillatory solutions as well as the existence of such solutions so that one can determine the limit behavior. For the existence, we use some fixed point theorems such as Schauder's fixed point theorem and the Knaster fixed point theorem.
引用
收藏
页码:1915 / 1925
页数:11
相关论文
共 50 条
[41]   A squeezing property and its applications to a description of long-time behaviour in the three-dimensional viscous primitive equations [J].
Chueshov, Igor .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2014, 144 (04) :711-729
[42]   A multiphase three-dimensional multi-relaxation time (MRT) lattice Boltzmann model with surface tension adjustment [J].
Ammar, Sami ;
Pernaudat, Guillaume ;
Trepanier, Jean-Yves .
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 343 :73-91
[43]   On the existence and long-time behavior of solutions to stochastic three-dimensional Navier-Stokes-Voigt equations [J].
Cung The Anh ;
Nguyen Van Thanh .
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2019, 91 (04) :485-513
[44]   STABILITY AND Lp CONVERGENCE RATES OF PLANAR DIFFUSION WAVES FOR THREE-DIMENSIONAL BIPOLAR EULER-POISSON SYSTEMS [J].
Li, Yeping ;
Liao, Jie .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (03) :1281-1302
[45]   Global solvability and large-time behavior to a three-dimensional chemotaxis-Stokes system modeling coral fertilization [J].
Li, Feng ;
Li, Yuxiang .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 483 (02)
[46]   Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones [J].
Wang, Lei ;
Li, Qingdu ;
Yang, Xiao-Song .
APPLIED MATHEMATICS AND COMPUTATION, 2021, 404
[47]   Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects [J].
Ramakrishnan, Praveen Kalarickel ;
Raffetto, Mirco .
SYMMETRY-BASEL, 2020, 12 (02)
[48]   On the Modulus Consensus of Multi-agent Systems with Double-Integrator Kinematics in Three-Dimensional Space under Linear Control [J].
Hou, Tan ;
Li, Yuanlong ;
Shi, Liangren .
PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, :6269-6274
[49]   GLOBALLY EXPONENTIALLY ATTRACTIVE SETS AND POSITIVE INVARIANT SETS OF THREE-DIMENSIONAL AUTONOMOUS SYSTEMS WITH ONLY CROSS-PRODUCT NONLINEARITIES [J].
Zhao, Xinquan ;
Jiang, Feng ;
Hu, Junhao .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (01)
[50]   Three-dimensional multi-relaxation time lattice-Boltzmann model for the drop impact on a dry surface at large density ratio [J].
Zhang, Duo ;
Papadikis, K. ;
Gu, Sai .
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2014, 64 :11-18