Results 21 to 30 of about 524,480 (211)
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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A new trust region method for minimizing locally lipschitz functions [PDF]
تصمیم گیری و تحقیق در عملیات, 2020 In this paper, we present a new trust region method for unconstrained optimization problems with locally Lipschitz continuous, nonconvex functions. In this method, in the ratio test, the current objective function value is replaced with maximum of some ...
Zohreh Akbari
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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
wiley +1 more source
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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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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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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Locally Lipschitz solutions of a single conservation law in several space variables [PDF]
, 1981 We consider the Cauchy problem for a single conservation law in several space variables. Letting u(x, t) denote the solution with initial data u0, we state necessary and sufficient conditions on u0 so that u(x, t) is locally Lipschitz continuous in the ...
Hoff, David
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