Abstract reaction-diffusion systems with nonlocal initial conditions

作者：Burlica Monica Dana; Rosu Daniela; Vrabie Ioan I^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2014, 94: 107-119.

DOI：10.1016/j.na.2013.07.033

• Differential delay evolution systems
• Nonlocal delay initial condition
• Periodic solutions
• Metric fixed point arguments
• Non-resonance condition
• Nonlinear reaction-diffusion systems

We prove some sufficient conditions for the existence and global uniform asymptotic stability of C-0-solutions for a class of nonlinear delay reaction-diffusion systems subjected to nonlocal initial conditions. Some applications to a specific reaction-diffusion system are included.

• 出版日期2014-1