Results 21 to 30 of about 18,337 (169)
Two-Sided Approximations For Nonlinear Operator Equations
Computational Methods in Applied Mathematics, 2008 AbstractWe propose an analytical-numerical method for nonlinear operator equations which converges exponentially and provides two-sided approximations.
Lazurchak, I. I. +2 more
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Approximation methods for nonlinear operator equations [PDF]
Proceedings of the American Mathematical Society, 2002 The authors prove that a Mann-type iterative process converges strongly to the zero of a uniformly quasi-accretive map in an arbitrary normed real linear space. Related results concern the strong convergence of the iteration to fixed points of uniformly hemi-contractive maps in arbitrary real normed spaces. The theorems unify and extend several results
Chidume, C. E., Zegeye, H.
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Quantum nonlinear Schrödinger equation. I. Intertwining operators [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1986 We consider the quantum nonlinear Schrödinger equation (NLS) as a model of the quantum (nonrelativistic) field theory in 1 + 1 dimensions. In this paper we develop a calculus of intertwining operators for the NLS. This calculus will be used in subsequent publications to solve explicitly an initial value problem for the NLS ...
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Stochastic models associated to a Nonlocal Porous Medium Equation
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
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Sign-Changing Solutions for Nonlinear Operator Equations [PDF]
Journal of Operators, 2014 The existence of six solutions for nonlinear operator equations is obtained by using the topological degree and fixed point index theory. These six solutions are all nonzero. Two of them are positive, the other two are negative, and the fifth and sixth ones are both sign-changing solutions.
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A note on the solvability of the nonlinear wave equation
Journal of Numerical Analysis and Approximation Theory, 2004 New existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem. The main idea is to handle two equivalent operator forms of the wave equation, one of fixed point type giving the ...
Radu Precup
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A Numerical Method Based on Operator Splitting Collocation Scheme for Nonlinear Schrödinger Equation
Mathematical and Computational ApplicationsIn this paper, a second-order operator splitting method combined with the barycentric Lagrange interpolation collocation method is proposed for the nonlinear Schrödinger equation.
Mengli Yao, Zhifeng Weng
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The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam
Nonautonomous Dynamical Systems, 2023 In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays.
Graef John R. +3 more
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Partial Differential Equations in Applied MathematicsThe Fitzhugh–Nagumo equation is an essential governing equation that explains the process of impulse transmission from the nerves. This work suggests a novel generalized arbitrary-order Fitzhugh–Nagumo equation that is based on the recently developed ...
Mulualem Aychluh +2 more
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Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes
Condensed Matter Physics, 2014 sing the method of nonequilibrium statistical operator by Zubarev, an approach is proposed for the description of kinetics which takes into account the nonlinear hydrodynamic fluctuations for a quantum Bose system. Non-equilibrium statistical operator is
P.A. Hlushak, M.V. Tokarchuk
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