Results 231 to 240 of about 20,302 (268)
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ABSOLUTE STABILITY CRITERIA FOR NONLINEAR OPERATOR EQUATIONS
Mathematics of the USSR-Izvestiya, 1977Conditions are obtained for the stability in the large of solutions of nonlinear equations of the form (1)Here is the infinitesimal generator of a semigroup of class , the maps and are bounded linear operators, and , and are (generally different) Hilbert spaces. The equations (1) describe a wide class of distributed parameter control systems.
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Operator Method of Solving Nonlinear Differential Equations
Lithuanian Mathematical Journal, 2002The author shows how solutions of nonlinear differential equations can be represented by linear operators. A linear generalized operator and a multiplicative operator are constructed for this purpose. Some properties of these operators are presented as well illustrative examples related to solutions of ordinary and partial differential equations.
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On an Iterative Algorithm for Solving Nonlinear Operator Equations
Zeitschrift für Analysis und ihre Anwendungen, 1991The Secant method for solving nonlinear operator equations in Banach spaces is considered. By assuming that the Fréchet derivative of a nonlinear operator is only Hölder continuous we show that the secant iteration converges to a locally unique solution.
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The Fractional Analysis of a Nonlinear mKdV Equation with Caputo Operator
Fractal and Fractional, 2023Sherif Ismaeel +2 more
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An implicit split-operator algorithm for the nonlinear time-dependent Schrödinger equation
Journal of Chemical Physics, 2021Julien Roulet, Jiří Vanicek
exaly
Solvability of nonlinear operator equations
Functional Analysis and Its Applications, 1971Zabrejko, P. P., Krasnosel'skij, M. A.
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