Results 31 to 40 of about 23,893 (314)
NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya +1 more
doaj
This paper studies operator and fractional order nonlinear robust control for a spiral counter-flow heat exchanger with uncertainties and disturbances.
Guanqiang Dong, Mingcong Deng
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Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der +4 more
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On the Finite Complexity of Solutions in a Degenerate System of Quadratic Equations: Exact Formula
The paper describes an application of the p-regularity theory to Quadratic Programming (QP) and nonlinear equations with quadratic mappings. In the first part of the paper, a special structure of the nonlinear equation and a construction of the 2-factor ...
Olga Brezhneva +2 more
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Solutions to p(x)-Laplace type equations via nonvariational techniques [PDF]
In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone ...
Mustafa Avci
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In the sense of a conformable fractional operator, we consider a generalized fractional–stochastic nonlinear wave equation (GFSNWE). This equation may be used to depict several nonlinear physical phenomena occurring in a liquid containing gas bubbles ...
Wael W. Mohammed +3 more
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Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]
The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Gordon Blower, Blower, Gordon
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Operational Solution to the Nonlinear Klein-Gordon Equation* [PDF]
Abstract We obtain solutions of the nonlinear Klein-Gordon equation using a novel operational method combined with the Adomian polynomial expansion of nonlinear functions. Our operational method does not use any integral transforms nor integration processes.
Bengochea, G. +2 more
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Representations of sl(2,?) in category O and master symmetries [PDF]
We show that the indecomposable sl(2,?)-modules in the Bernstein-Gelfand-Gelfand category O naturally arise for homogeneous integrable nonlinear evolution systems. We then develop a new approach called the O scheme to construct master symmetries for such
J. P. Wang, Wang, Jing Ping
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Functional differential equations with infinite delay in Banach spaces
In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being ...
Jin Liang, Tijun Xiao
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