On the Finite Complexity of Solutions in a Degenerate System of Quadratic Equations: Exact Formula
Entropy, 2023 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]
Opuscula Mathematica, 2018 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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Mathematics, 2023 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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Quantized representation of some nonlinear integrable evolution equations on the soliton sector
, 2010 The Hirota algorithm for solving several integrable nonlinear evolution equations is suggestive of a simple quantized representation of these equations and their soliton solutions over a Fock space of bosons or of fermions.
A. R. Forsyth +9 more
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Complete integrability of a modified vector derivative nonlinear Schroedinger equation
, 1994 Oblique propagation of magnetohydrodynamic waves in warm plasmas is described by a modified vector derivative nonlinear Schroedinger equation, if charge separation in Poisson's equation and the displacement current in Ampere's law are properly taken into
Hereman, Willy +2 more
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On nonlinear evolution operators associated with some nonlinear dispersive equations [PDF]
Proceedings of the American Mathematical Society, 1986 The initial-boundary value problem for a nonlinear dispersive system with time-dependent boundary condition is discussed in the Sobolev space H 1 {H^1} from the point of view of the theory of nonlinear evolution operators.
Oharu, Shinnosuke, Takahashi, Tadayasu
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Global Solutions for the One-Dimensional Vlasov-Maxwell System for Laser-Plasma Interaction [PDF]
, 2006 We analyse a reduced 1D Vlasov--Maxwell system introduced recently in the physical literature for studying laser-plasma interaction. This system can be seen as a standard Vlasov equation in which the field is split in two terms: an electrostatic field ...
Carrillo, José A., Labrunie, Simon
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On the Real Analyticity of the Scattering Operator for the Hartree Equation
, 2008 In this paper, we study the real analyticity of the scattering operator for the Hartree equation $ i\partial_tu=-\Delta u+u(V*|u|^2)$. To this end, we exploit interior and exterior cut-off in time and space, and combining with the compactness argument to
Miao, Changxing +2 more
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Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]
, 2005 A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
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Functional differential equations with infinite delay in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1991 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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