Results 291 to 300 of about 367,090 (333)

ABSOLUTE STABILITY CRITERIA FOR NONLINEAR OPERATOR EQUATIONS

Mathematics of the USSR-Izvestiya, 1977
Conditions 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, 2002
The 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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Nonlinear Operator Equations And Applications To Modelling

1990 Eastern Multiconference. Record of Proceedings. The 23rd Annual Simulation Symposium, 1990
The main purpose of this paper is to treat the problem of numerical solutions of Lyapunov matrix equations and nonlinear matrix equations such as the Riccati type which occur in many areas of applications such as in control theory, robotics, mathematical modelling and computer simulation, etc.
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Doubly nonlinear equations with unbounded operators

Nonlinear Analysis: Theory, Methods & Applications, 2004
The authors investigate the following nonlinear evolution system \[ \begin{align*}{& v'(t)+w(t)=\tilde{f}(t)\quad\text{for a.a. } t\in ]0,T[,\cr & v(t)\in {\cal A}(t)u(t),\quad w(t)\in {\cal B}(t)u(t)\quad\text{for a.a. } t\in ]0,T[,\cr & v(0)=v_0,}\end{align*} \] where the operators \({\mathcal A}(t)\) and \({\mathcal B}(t)\) are subdifferentials of ...
Aizicovici, Sergiu, Hokkanen, Veli-Matti
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Iterative methods for nonlinear operator equations

Applied Mathematics and Computation, 1992
The authors present a nonlinear extension of the conjugate gradient method applied to the normal equations. It is assumed that the Jacobian and the Hessian of the nonlinear operator are uniformly bounded. Global and local convergence results for the nonlinear algorithms are proved and asymptotic steplength estimates and error bounds are given.
Chronopoulos, A. T., Zlatev, Z.
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Solvability of nonlinear operator equations

Functional Analysis and Its Applications, 1971
Zabrejko, P. P., Krasnosel'skij, M. A.
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Nonstationary iteeative solution of nonlinear operator equations

Ukrainian Mathematical Journal, 1974
Kurcenko, T. S., Ksendz, N. A.
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Differentiable Operators and Nonlinear Equations

1994
Victor Khatskevich, David Shoiykhet
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A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator

Applied Numerical Mathematics, 2022
khaled omrani
exaly  

A linearized energy-conservative scheme for two-dimensional nonlinear Schrödinger equation with wave operator

Applied Mathematics and Computation, 2021
Hongwei Li, Xu Guo
exaly