Results 11 to 20 of about 1,986,683 (337)
Franklin OpenA lot of researchers have introduced iterative schemes for solving convex constrained nonlinear monotone equations. This paper aims to propose a modified three-term of Dai–Yuan type (TTDY) derivative-free algorithm for nonlinear monotone equations.
Aliyu Yusuf +3 more
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MathematicsIterative methods for solving constraint nonlinear monotone equations have been developed and improved by many researchers. The aim of this research is to present a modified three-term conjugate descent (TTCD) derivative-free method for constrained ...
Aliyu Yusuf +2 more
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Hamilton–Jacobi equations with monotone nonlinearities on convex cones [PDF]
Annales de la Faculté des sciences de Toulouse : MathématiquesWe study the Cauchy problem of a Hamilton–Jacobi equation with the spatial variable in a closed convex cone. A monotonicity assumption on the nonlinearity allows us to prescribe no condition on the boundary of the cone. We show the well-posedness of the equation in the viscosity sense and prove several properties of the solution: monotonicity ...
Chen, Hong-Bin, Xia, Jiaming
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Dynamical systems method for solving nonlinear equations with monotone operators [PDF]
Mathematics of Computation, 2010 A review of the authors' results is given. Several methods are discussed for solving nonlinear equations F(u) = f, where F is a monotone operator in a Hilbert space, and noisy data are given in place of the exact data. A discrepancy principle for solving the equation is formulated and justified.
Hoang, N. S., Ramm, Alexander G.
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A novel adaptive quasi-Newton-type update and its global convergence without Lipschitz condition for constrained system of nonlinear monotone equations. [PDF]
PLoS OneAhmed K +7 more
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Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
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Monotone solutions of a class of nonlinear difference equations [PDF]
Computers & Mathematics with Applications, 1994 The authors prove some comparison theorems for the existence of a positive nondecreasing solution of the nonlinear difference equation (1) \(\Delta (p_{k - 1} (\Delta x_{k - 1})^ \sigma) + q_ k x^ \sigma_ k = 0\), \(k = 1,2, \dots\) where \(\sigma > 0\) and \(\{p_ k\}^ \infty_ 0\) is a positive sequence.
Cheng, Sui Sun, Zhang, Bing-Gen
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Hybrid Newton-type method for a class of semismooth equations [PDF]
, 2002 In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct ...
Pieraccini, Sandra
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Random nonlinear equations and monotonic nonlinearities
Journal of Mathematical Analysis and Applications, 1977 AbstractThe question of existence of random solutions of nonlinear random operator equations involving a monotonic nonlinearity is discussed.
Kannan, R, Salehi, H
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Positive Decreasing Solutions of Higher-Order Nonlinear Difference Equations
Advances in Difference Equations, 2010 It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values of the corresponding linearized equation. If
B. Krasznai, I. Győri, M. Pituk
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