Results 21 to 30 of about 2,460,837 (296)
A note on Cauchy-Lipschitz-Picard theorem
Journal of Inequalities and Applications, 2016 In this note, we try to generalize the classical Cauchy-Lipschitz-Picard theorem on the global existence and uniqueness for the Cauchy initial value problem of the ordinary differential equation with global Lipschitz condition, and we try to weaken the ...
Zonghong Feng +3 more
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Integral representation of a solution to the Stokes-Darcy problem [PDF]
, 2015 With methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H-1 ...
Medková, Dagmar +6 more
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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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Modified Runge–Kutta method with convergence analysis for nonlinear stochastic differential equations with Hölder continuous diffusion coefficient [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 The main goal of this work is to develop and analyze an accurate trun-cated stochastic Runge–Kutta (TSRK2) method to obtain strong numeri-cal solutions of nonlinear one-dimensional stochastic differential equations (SDEs) with continuous Hölder diffusion
A. Haghighi
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Electronic Journal of Qualitative Theory of Differential Equations, 2009 This article presents the results on existence, uniqueness and stability of mild solutions of impulsive stochastic semilinear neutral functional differential equations without a Lipschitz condition and with a Lipschitz condition. The results are obtained
Annamalai Anguraj, A. Vinodkumar
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Lipschitz conditions and the distance ratio metric [PDF]
Filomat, 2015 We give a study of the Lipschitz continuity of M?bius transformations of a punctured ball onto another punctured ball in Rn with respect to the distance ratio metric. Some subtle methods are developed, helping to determine the best possible j-Lip constant in this case.
Simic, S, Vuorinen, M
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Abstract and Applied Analysis, 2012 The main purpose of this paper is to investigate the strong convergence of the Euler method to stochastic differential equations with piecewise continuous arguments (SEPCAs).
Ling Zhang, Minghui Song
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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Abstract and Applied Analysis, 2012 A class of neutral stochastic functional differential equations with Poisson jumps (NSFDEwPJs), d[x(t)-G(xt)]=f(xt, t)dt+g(xt,t)dW(t)+h(xt,t)dN(t), t∈[t0,T], with initial value xt0=ξ={ξ(θ):-τ≤θ≤0}, is investigated.
Jianguo Tan, Hongli Wang, Yongfeng Guo
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Pinning Synchronization of One-Sided Lipschitz Complex Networks
Discrete Dynamics in Nature and Society, 2014 This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition.
Fang Liu +3 more
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