几类偏双曲型发展方程伪殆周期解的存在性
Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations
摘要:
研究了几类偏双曲型发展方程伪殆周期解的存在性。即给出了这类双曲型发展方程伪殆周期解存在唯一的充分条件。其应用包括含时滞的输运方程和热方程的伪殆周期解的存在性。
英文摘要:
The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of hyperbolic evolution equations are given. Applications include the existence of pseudo almost periodic solutions to the transport and heat equations with delay.
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