Results 21 to 30 of about 2,291,454 (248)
Sensitivity analysis for HJB equations with an application to a coupled backward-forward system [PDF]
, 2013 In this paper, we analyse the dependence of the solution of Hamilton-Jacobi-Bellman equations on a functional parameter. This sensitivity analysis not only has the interest on its own, but also is important for the mean field games methodology, namely for
Kolokoltsov, Vassili, Yang, Wei
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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On Lipschitz stability for F.D.E [PDF]
Pacific Journal of Mathematics, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Axioms, 2018 In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include
Ravi Agarwal +2 more
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Fractal and Fractional, 2022 This paper investigates set-valued differential equations with fractional-like Hukuhara derivatives. Firstly, a novel comparison principle is given by introducing the upper quasi-monotone increasing functions.
Peiguang Wang, Jiahui Bi
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Lipschitz stability for the inverse conductivity problem
Advances in Applied Mathematics, 2005 Let \(u\in H^1(\Omega)\) be the weak solution to the Dirichlet problem \[ \text{ div }(\gamma \nabla u)=0\quad \text{ in }\Omega,\qquad u=\varphi \quad \text{ in }\partial \Omega, \] where \(\Omega\subset {\mathbb R}^n\) is a domain of class \(C^{0,1}\), \(\varphi\in H^{1/2}(\partial\Omega)\) and \(\gamma \in L^\infty(\Omega)\) satisfies ...
Giovanni Alessandrini, Sergio Vessella
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Some stability inequalities for hybrid inverse problems
Comptes Rendus. Mathématique, 2022 We study some hybrid inverse problems associated to BVP’s for Schrödinger and Helmholtz type equations. The inverse problems we consider consist in the determination of coefficients from the knowledge of internal energy densities.
Choulli, Mourad
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Geometric Characterizations of Lipschitz Stability for Convex Optimization Problems
SIAM Journal on OptimizationIn this paper, we mainly study tilt stability and Lipschitz stability of convex optimization problems. Our characterizations are geometric and fully computable in many important cases. As a result, we apply our theory to the group Lasso problem and the nuclear norm minimization problem and reveal that the Lipschitz stability of the solution mapping in ...
Nghia, Tran T. A.
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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On eventual stability of impulsive systems of differential equations
International Journal of Mathematics and Mathematical Sciences, 2001 The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.
A. A. Soliman
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