Stability of Solutions to Evolution Problems

Mathematics

关键词: Lyapunov stability;    large-time behavior;    dynamical systems;    evolution problems;    nonlinear inequality;    differential equations;   

DOI  :  10.3390/math1020046

来源: mdpi

【 摘 要 】

Large time behavior of solutions to abstract differential equations is studied. The results give sufficient condition for the global existence of a solution to an abstract dynamical system (evolution problem), for this solution to be bounded, and for this solution to have a finite limit asis also treated.

【 授权许可】

CC BY   
© 2013 by the author; licensee MDPI, Basel, Switzerland.