Titlebook: Differential Equations and Nonlinear Mechanics; K. Vajravelu Book 20011st edition Kluwer Academic Publishers 2001 calculus.differential eq

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Properties of the Radii of Stability and Instability,ted by mechanical systems subject to conservative perturbations these authors analyzed the total stability of . = . (.) using the perturbed differential equation . = . (.,) where . (., 0) . (.) and . is a parameter in some Banach Space .. In this paper we often will assume . is the real line.

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Coherent Structures and Statistical Equilibrium States in a Model of Dispersive Wave Turbulence,NLS equation, and it is demonstrated that the model describes the long-time average behavior of solutions remarkably well. In particular, the statistical theory accurately captures both the coherent structure and the spectrum of the solution of the NLS system in the long-time state.

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Ergodic Type Solutions of Some Differential Equations,s, has been researched in a lot of references by mathematicians (see [10, 12, 18, 21, 23, 32, 36, 37, 41–43]). Recently, some new ergodic type functions have been introduced and applied to differential equations in [5,6, 11, 44–46]. In this summary we pay our attention to the new ergodic type solutions of some differential equations.