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Of concern is a wave equation with a distributed neutral delay. We prove that, despite the destructive nature of delays in general, solutions may go back to the equilibrium state… Click to show full abstract
Of concern is a wave equation with a distributed neutral delay. We prove that, despite the destructive nature of delays in general, solutions may go back to the equilibrium state in an exponential manner as time goes to infinity. Reasonable conditions on the distributed neutral delay are established. This type of problems appear in the study of wave propagation in viscoelastic media and in acoustic wave propagation. It is not well studied so far.
Keywords:
neutral delay;
stability damped;
delay;
damped wave;
wave equation
Journal Title: Mathematische Nachrichten
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematische Nachrichten
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!