Results 41 to 50 of about 3,785 (249)
Regularity of Generalized Mean-Field G-SDEs
MathematicsWe study the regularity properties of the unique solution of a generalized mean-field G-SDE. More precisely, we consider a generalized mean-field G-SDE with a square-integrable random initial condition, establish its first- and second-order Fréchet ...
Karl-Wilhelm Georg Bollweg +1 more
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On the Dynamics of Abstract Retarded Evolution Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
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Existence and multiplications of solutions for a class of equation with a non-smooth potential [PDF]
Journal of Hyperstructures, 2015 This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a ...
Fariba Fattahi, M. Alimohammady
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Mathematics, 2022 A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral representations for these approximations are proposed, depending on the properties of
Ezgi Erdoğan +1 more
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On the local Lipschitz stability of Bayesian inverse problems [PDF]
Inverse Problems, 2020 Abstract In this note we consider the stability of posterior measures occurring in Bayesian inference w.r.t. perturbations of the prior measure and the log-likelihood function. This extends the well-posedness analysis of Bayesian inverse problems.
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Fractional Differentiation and Lipschitz Spaces on Local Fields [PDF]
Transactions of the American Mathematical Society, 1980 In this paper we continue our study of differentiation on a local field K . We define strong derivatives of fractional order α
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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On Neumann hemivariational inequalities
Abstract and Applied Analysis, 2002 We derive a nontrivial solution for a Neumann noncoercive hemivariational inequality using the critical point theory for locally Lipschitz functionals. We use the Mountain-Pass theorem due to Chang (1981).
Halidias Nikolaos
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Asymptotic Almost-Periodicity for a Class of Weyl-Like Fractional Difference Equations
Mathematics, 2019 This work deal with asymptotic almost-periodicity of mild solutions for a class of difference equations with a Weyl-like fractional difference in Banach space.
Junfei Cao, Amar Debbouche, Yong Zhou
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Convergence of the Stochastic Euler Scheme for Locally Lipschitz Coefficients [PDF]
Foundations of Computational Mathematics, 2011 Stochastic differential equations are often simulated with the Monte Carlo Euler method. Convergence of this method is well understood in the case of globally Lipschitz continuous coefficients of the stochastic differential equation. The important case of superlinearly growing coefficients, however, has remained an open question. The main difficulty is
Martin Hutzenthaler, Arnulf Jentzen
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