Results 251 to 260 of about 4,649,717 (295)

On Nonlinear Evolution Equations for Occupancies

Journal of Mathematical Sciences, 2001
For any natural number \(N\) subspaces of the direct product of \(N\) copies of a discrete probability space \(\Omega_0\), factored with respect to the group of permutation of indices, are defined by means of arbitrary linear constraints on occupancies. The direct sum of such quotient products over \(N\in \{1,2,\dots\}\) is considered.
Chebotarev, A. M., Maslov, V. P.
openaire   +2 more sources

A Stochastic Nonlinear Evolution Equation

Zeitschrift für Analysis und ihre Anwendungen, 1992
A stochastic evolution equation for processes with values in two orthogonal subspaces of a Hilbert space is considered. Such types of equations arise in the study of quasistatic processes of elastic viscoplastic materials with random disturbances. Using the theory of Hilbert space valued Ito equations an existence and uniqueness theorem is proved ...
openaire   +2 more sources

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., Souganidis, Panagiotis E.   +1 more
openaire   +1 more source

`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
openaire   +2 more sources

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.
openaire   +1 more source

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, Jalal Shatah, Michael Struwe   +2 more
openaire   +1 more source

On some nonlinear evolution equation

Funkcialaj Ekvacioj, 1986
The author presents conditions for existence and uniqueness of a strong solution for \[ \partial (\phi (t,\cdot))(u'(t))+A(u(t))\ni f(t),\quad u(0)=u_ 0 \] in a real Hilbert space H, where A is a positive selfadjoint linear operator and \(\phi\) (t,\(\cdot)\) is a lower semicontinuous, proper convex function such that \(t\mapsto [\epsilon Id+\partial ...
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

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.
openaire   +2 more sources