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Nonlinear Operator Equations And Applications To Modelling
1990 Eastern Multiconference. Record of Proceedings. The 23rd Annual Simulation Symposium, 1990The 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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On summability of nonlinear operators
Tunisian Journal of MathematicsThe Bohnenblust-Hille inequality assures that there exists \(C>0\) such that, for all continuous \(m\)-linear forms \(T\colon c_0 \times \dots \times c_0\to \mathbb C\), \[ \left(\sum_{j_1,\ldots,j_m=1}^n \left|T(e_{j_1},\ldots,e_{j_m})\right|^{\frac{2m}{m+1}}\right)^{\frac{m+1}{2m}}\leq C \|T\| \] for all \(n\).
Pellegrino, Daniel, Santos, Joedson
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Nonlinear Operator Approximation
1976This paper is concerned with convergence theorems and error bounds for approximate solutions of nonlinear problems, with particular applications to Urysohn integral equations. It is an abbreviated version of a more extensive projected sequel by P.M. Anselone, J. Davis and P.M. Prenter.
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2011
The theory of linear Fredholm operators will be used in this chapter to study onlinear elliptic problems. Nonlinear operators are called Fredholm operators if the corresponding linearized operators satisfy this property.
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The theory of linear Fredholm operators will be used in this chapter to study onlinear elliptic problems. Nonlinear operators are called Fredholm operators if the corresponding linearized operators satisfy this property.
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Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator
Communications in Nonlinear Science and Numerical Simulation, 2020Guotao Wang +2 more
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Linearization in the large of nonlinear systems and Koopman operator spectrum
Physica D: Nonlinear Phenomena, 2013Igor Mezic, Yueheng Lan
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