Results 21 to 30 of about 228,562 (313)
E S A I M: Control, Optimisation and Calculus of Variations, 2020 In this paper we focus on a general optimal control problem involving a dynamical system described by a nonlinear Caputo fractional differential equation of order 0
M. Bergounioux, L. Bourdin
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The maximum principle with lack of monotonicity
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting.
Patrizia Pucci, Vicenţiu Rădulescu
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OPTIMAL MULTIATTRIBUTE SCREENING
Ural Mathematical Journal, 2016 We provide a technique for constructing optimal multiattribute screening contracts in a general setting with one-dimensional types based on necessary optimality conditions.
Thomas A. Weber
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Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales [PDF]
SIAM Journal of Control and Optimization, 2013 In this article we derive a strong version of the Pontryagin Maximum Principle for general nonlinear optimal control problems on time scales in finite dimension. The final time can be fixed or not, and in the case of general boundary conditions we derive
L. Bourdin, E. Trélat
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Abstract and Applied Analysis, 2008 We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary.
M. E. Amendola, L. Rossi, A. Vitolo
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Maximum and anti-maximum principles for the \(p\)-Laplacian with a nonlinear boundary condition
Electronic Journal of Differential Equations, 2006 Summary: In this paper we study the maximum and the anti-maximum principles for the problem \(\Delta _{p}u=|u|^{p-2}u\) in the bounded smooth domain \(\Omega \subset \mathbb{R}^{N}\), with \(|\nabla u|^{p-2}\frac{\partial u}{\partial \nu }=\lambda |u|^{p-2}u+h\) as a non linear boundary condition on \(\partial \Omega \) which is supposed \(C^{2\beta }\)
Aomar Anane, Omar Chakrone, Najat Moradi
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Monotone economical schemes for quasilinear parabolic equations
Mathematical Modelling and Analysis, 2002 In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed.
N. V. Dzenisenko +2 more
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Nonexistence of Positive Supersolutions of Nonlinear Biharmonic Equations without the Maximum Principle [PDF]
, 2014 We study classical positive solutions of the biharmonic inequality in exterior domains in ℝ n where f: (0, ∞) → (0, ∞) is continuous function. We give lower bounds on the growth of f(s) at s = 0 and/or s = ∞ such that inequality (0.1) has no C 4 positive
M. Ghergu, S. Taliaferro
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A Global Stochastic Maximum Principle for Fully Coupled Forward-Backward Stochastic Systems [PDF]
SIAM Journal of Control and Optimization, 2018 We study a stochastic optimal control problem for fully coupled forward-backward stochastic control systems with a nonempty control domain. By introducing the first-order and second-order variational equations which is a fully-coupled FBSDEs, and ...
Mingshang Hu, Shaolin Ji, Xiaole Xue
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Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
Advances in Nonlinear Analysis, 2021 In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region
Wang Jun
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