CAJ | 학술논문

行波解是格动力系统的一种稳态解，通常决定着相应 Cauchy 问题的长时间渐近行为，揭示了格动力系统所包含的许多特性，如唯一性、稳定性等。而在考虑格动力系统的唯一性和稳定性时，通常需要了解其行波解的渐近行为。通过构造合适的上、下解，并结合系统所满足的比较原理，证明单稳型格动力系统在周期介质中的行波解的渐近行为。
행파해시격동력계통적일충은태해，통상결정착상응 Cauchy 문제적장시간점근행위，게시료격동력계통소포함적허다특성，여유일성、은정성등。이재고필격동력계통적유일성화은정성시，통상수요료해기행파해적점근행위。통과구조합괄적상、하해，병결합계통소만족적비교원리，증명단은형격동력계통재주기개질중적행파해적점근행위。
Traveling wave solution is a steady-state solution of lattice dynamical system.Traveling wave solution usually determines the long time behavior of the corresponding Cauchy problems and reveals the system containing many features,such as uniqueness and stability.When consider-ing the uniqueness and stability,we need to understand the asymptotic behavior of traveling wave solutions.By constructing an appropriate super-solution and sub-solution,and using the compari-son principle and the extrusion technology,the asymptotic behavior of traveling waves for periodic monostable lattice dynamical system is proved.