Results 31 to 40 of about 54,219 (283)

Parabolic Itô equations with monotone nonlinearities

Journal of Functional Analysis, 1978
AbstractIn this paper the equation ut = Lu − F(u) + α(t, ω) is studied, where u(t) ϵ B0 a Banach space. L is an unbounded self-adjoint negative definite operator. F is a monotone nonlinear potential operator. α(t, ω) is a white noise process on B0. With suitable further restrictions on L and F it is proved that the equation has a unique solution. As t →
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ASYMPTOTICALLY MONOTONE SOLUTIONS OF A NONLINEAR DIFFERENCE EQUATION

Tamkang Journal of Mathematics, 1993
Necessary conditions as well as sufficient conditions for the eventually positive solutions of a class of nonlinear difference equation to be monotone are derived.
Li, Horng Jaan, Cheng, Sui Sun
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Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations

, 2012
Aim of this paper is to extend the continuous dependence estimates proved in \cite{JK1} to quasi-monotone systems of fully nonlinear second-order parabolic equations.
Camilli, Fabio, Marchi, Claudio
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Finite reduction and Morse index estimates for mechanical systems [PDF]

, 2011
A simple version of exact finite dimensional reduction for the variational setting of mechanical systems is presented. It is worked out by means of a thorough global version of the implicit function theorem for monotone operators.
A. Bahri, A. Marino, Alessandro Sfondrini, C. Carathéodory, C.G. Broyden, D. Carlson, E. Kvaalen, F. Cardin, F. Cardin, Franco Cardin, G.A. Bliss, Giuseppe De Marco, H. Amann, J.J. Duistermaat, K. Deimling, M. Chaperon, M. Chaperon, R.W. Cottle, X.-F. Yang   +18 more
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Dynamical Systems Gradient method for solving nonlinear equations with monotone operators

, 2008
A version of the Dynamical Systems Gradient Method for solving ill-posed nonlinear monotone operator equations is studied in this paper. A discrepancy principle is proposed and justified. A numerical experiment was carried out with the new stopping rule.
A. G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, D. Pascali, E. Zeidler, I.V. Skrypnik, J.L. Lions, K. Deimling, M.M. Vainberg, N. S. Hoang, N.S. Hoang, U. Tautenhahn, U. Tautenhahn, V. Ivanov, V.A. Morozov   +24 more
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A Modified Three-Term Conjugate Descent Derivative-Free Method for Constrained Nonlinear Monotone Equations and Signal Reconstruction Problems

Mathematics
Iterative 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, Nibron Haggai Manjak, Maggie Aphane   +2 more
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A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints

Journal of Applied Mathematics, 2013
Based on the Scaled conjugate gradient (SCALCG) method presented by Andrei (2007) and the projection method presented by Solodov and Svaiter, we propose a SCALCG method for solving monotone nonlinear equations with convex constraints.
Sheng Wang, Hongbo Guan
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The approximate solution of a monotone nonlinear operator equations

Rocky Mountain Journal of Mathematics, 1986
This paper is concerned with nonlinear equations involving monotone operators and compact perturbations of monotone operators. Projection methods determine approximate solutions. Such equations are put into the more general framework of regular operator approximation theory, which yields the convergence of approximate solutions under minimal hypothesis.
Anselone, P.M., Jin-gan, Lei
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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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Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators

, 2010
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical result by J.L. Lions for monotone operators. In particular,
Beyn, Browder, Browder, Browder, Browder, Brézis, Brézis, Chepyzhov, Cheskidov, Chueshov, Gess, Gyöngy, Gyöngy, Hartman, Hirano, Krylov, Leray, Leray, Lions, Liu, Liu, Liu, Liu, Liu, Menaldi, Minty, Minty, Prévôt, Ren, Ren, Röckner, Shioji, Showalter, Temam, Wang, Wei Liu, Zeidler   +36 more
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