Rational energy decay rate for the wave equation with delay term on the dynamical control
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DOI: 10.1016/j.jmaa.2020.124693
Abstract: Abstract We consider the wave equation with a delay term in the dynamical control. If the delay term is small enough, we establish the strong stability of this system, but show that it is not… read more here.
Keywords: term dynamical; delay; equation delay; delay term ... See more keywords
Relaxation Oscillations in the Logistic Equation with Delay and Modified Nonlinearity
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DOI: 10.3390/math11071699
Abstract: We consider the dynamics of a logistic equation with delays and modified nonlinearity, the role of which is to bound the values of solutions from above. First, the local dynamics in the neighborhood of the… read more here.
Keywords: logistic equation; equation; equation delay; modified nonlinearity ... See more keywords
Local Dynamics of Logistic Equation with Delay and Diffusion
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DOI: 10.3390/math9131566
Abstract: The behavior of all the solutions of the logistic equation with delay and diffusion in a sufficiently small positive neighborhood of the equilibrium state is studied. It is assumed that the Andronov–Hopf bifurcation conditions are… read more here.
Keywords: delay diffusion; delay; logistic equation; equation delay ... See more keywords