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Your search keyword '"*DELAY differential equations"' showing total 2 results
Start Over Descriptor "*DELAY differential equations" Topic delay Topic stability Journal journal of mathematical analysis & applications
2 results on '"*DELAY differential equations"'

1. Stability of solutions to abstract evolution equations with delay

Author

Ramm, A.G.

Subjects
*STABILITY theory, *NUMERICAL solutions to evolution equations, *DELAY differential equations, *NONLINEAR operators, *HILBERT space, *GLOBAL analysis (Mathematics), *EXISTENCE theorems
Abstract

Abstract: An equation , , is considered, where and are linear operators in a Hilbert space , , is a non-linear operator, and is a constant. Under some assumptions on and sufficient conditions are given for the solution to exist globally, i.e., for all , to be globally bounded, and to tend to zero at a specified rate as . [Copyright &y& Elsevier]

Published
2012
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2. Nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equations

Author

Lv, Guangying and Wang, Mingxin

Subjects
*REACTION-diffusion equations, *WAVE equation, *NONLINEAR statistical models, *DELAY differential equations, *STABILITY (Mechanics), *PERTURBATION theory, *EXPONENTIAL functions
Abstract

Abstract: This paper is concerned with the nonlinear stability of traveling wave fronts for nonlocal delayed reaction–diffusion equation. We prove that these traveling wave fronts are exponentially stable to perturbation in some exponentially weighted spaces, when the initial perturbation around the traveling wave fronts decays exponentially as , but the initial perturbation can be arbitrary large in other locations. The time decay rate is also obtained by weighted energy estimates. [Copyright &y& Elsevier]

Published
2012
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