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Controllability for a nonlinear abstract evolution equationWe prove a theorem on the local controllability of a system described by a nonlinear evolution

The interaction of solitons in media with the saturable and threshold nonlinearityThe problem of nonlinear interaction of concentrated wave beams is considered. In addition to Kerr

Possible solutions of inverse dynamical problems with regards for nonlinear constraint stabilization function of the second kind is considered with regard for a nonlinear homogeneous stabilization function. A necessity

On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity differential equation with gradient nonlinearity (Formula presented.). The solution to this problem

Certain aspects of applying Newton's method to the Navier-Stokes equations of quasilinear evolution problems with analytical nonlinearities. The initial approximation of Newton method can

Nonlinear Equations of the Theory of Ion-Sound Plasma WavesNew high-order nonlinear equations of the Sobolev type describing ion-sound plasma waves

The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axisThe initial value problem is considered for a higher order nonlinear Schrödinger equation

The Cauchy Problem for a Nonlinear Wave Equation is considered. For the corresponding Cauchy problem, the existence of a classical solution that is short

Preconditioned iterative methods for a class of nonlinear eigenvalue problems of symmetric nonlinear matrix eigenvalue problems of large order with a monotone dependence on the spectral

On a nonlinear scattering modelWe obtain conditions for the existence and blow-up of global solutions of systems of nonlinear wave

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