Results 261 to 270 of about 53,167 (307)
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On nonlinear equations of evolution

Nonlinear Analysis: Theory, Methods & Applications, 1989
The goal of the work is to prove existence of solutions of the initial value problem \[ du/dt+A(t,u,u)=0,\quad u(0)=q,\quad 0\leq t\leq T \] in a Banach space. Various properties of solutions are also established.
Crandall, Michael G.   +1 more
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`Solitoff' Solutions of Nonlinear Evolution Equations

Journal of the Physical Society of Japan, 1996
Summary: Dromions are exact, localized solutions of \((2+1)\) dimensional evolution equations and decay exponentially in all directions. `Solitoffs' of the Davey-Stewartson equations constitute an intermediate state between dromions and plane solitons, since they decay exponentially in all directions except a preferred one. Here solitoffs are rederived
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Nonlinear evolution equations and nonlinear ergodic theorems

Nonlinear Analysis: Theory, Methods & Applications, 1977
Publisher Summary This chapter discusses nonlinear evolution equations and nonlinear ergodic theorems. It discusses certain aspects of the asymptotic behavior of generalized solutions of nonlinear evolution equations and of nonlinear nonexpansive semigroups in Banach spaces.
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Nonlinear Evolution Equations

Oberwolfach Reports, 2009
Following the successful pattern of the meeting in 2005, this year's workshop on 'Nonlinear Evolution Problems' focussed on a small number of currently very active areas in this field. By far the dominant theme, however, were geometric evolution equations of parabolic type, followed by the topic of wave equations and water waves ...
Klaus Ecker   +2 more
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Evolution equation for nonlinear Scholte waves

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1998
The evolution equations for nonlinear Scholte waves (finite amplitude elastic waves propagating along liquid/solid interface), which account for the second order nonlinearity of a liquid, are derived for the first time. For mathematical simplicity the nonlinearity of the solid, which influence is expected to be weak in the case of weak localization of ...
V E, Gusev, W, Lauriks, J, Thoen
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DYNAMIC BIFURCATION OF NONLINEAR EVOLUTION EQUATIONS

Chinese Annals of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Tian, Wang, Shouhong
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NONLINEAR EVOLUTION EQUATIONS AND THE PAINLEVÉ TEST

International Journal of Modern Physics A, 1992
A survey is given of new results of the Painlevé test and nonlinear evolution equations where ordinary- and partial-differential equations are considered. We study the semiclassical Jaynes-Cumming model, the energy-eigenvalue-level-motion equation, the Kadomtsev-Petviashvili equation, the nonlinear Klein-Gordon equation and the self-dual Yang-Mills ...
Steeb, W.-H., Euler, N.
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Dissipative Nonlinear Evolution Equations and Chaos

Studies in Applied Mathematics, 1998
In this article we have studied the nonlinear interaction between ellipticity and dissipation in a set of model equations (1.1) and established the relation between this interaction and chaos. In addition to theoretical investigations, extensive numerical simulations with these equations have been made, and different routes to chaos have been found ...
Hsieh, Dinyu   +3 more
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Abstract scattering for nonlinear evolution equations

Mathematical Systems Theory, 1974
Scattering for Nonlinear Evolution Equations by G. F.
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