Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00780-0
Abstract: The aim of this paper is to study a classical pseudo-monotone and non-Lipschitz continuous variational inequality problem in real Hilbert spaces. Weak and strong convergence theorems are presented under mild conditions. Our methods generalize and… read more here.
Keywords: pseudo monotone; convergence theorems; non lipschitz; weak strong ... See more keywords
Exact controllability of non-Lipschitz semilinear systems
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DOI: 10.1007/s11784-018-0550-5
Abstract: We present sufficient conditions for exact controllability of a semilinear infinite-dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a nonlinear disturbance that does not need to be Lipschitz continuous.… read more here.
Keywords: lipschitz semilinear; semilinear systems; controllability; exact controllability ... See more keywords
New criteria on event-triggered cluster synchronization of neutral-type neural networks with Lévy noise and non-Lipschitz condition
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DOI: 10.1016/j.neucom.2019.11.099
Abstract: Abstract In this paper, two kinds of the exponential cluster synchronization of stochastic coupled neutral-type neural networks with Levy noise under non-Lipschitz condition are investigated. The non-Lipschitz condition has much weaker requirement than the usual… read more here.
Keywords: neutral type; condition; cluster synchronization; lipschitz condition ... See more keywords
BSDEs driven by time-changed Lévy noises with non-Lipschitz generators
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2017.1414263
Abstract: ABSTRACT This paper deals with a class of backward stochastic differential equations (BSDEs for short) driven by time-changed Lévy noises. The existence and uniqueness of Lp(p ⩾ 2) solutions for this kind of BSDEs with… read more here.
Keywords: time changed; changed noises; lipschitz generators; non lipschitz ... See more keywords
‘Life after death’ in ordinary differential equations with a non-Lipschitz singularity
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DOI: 10.1088/1361-6544/abbe60
Abstract: We consider a class of ordinary differential equations featuring a non-Lipschitz singularity at the origin. Solutions exist globally and are unique up until the first time they hit the origin. After ‘blowup’, infinitely many solutions… read more here.
Keywords: ordinary differential; lipschitz singularity; differential equations; non lipschitz ... See more keywords
Invasive-invaded system of non-Lipschitz porous medium equations with advection
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DOI: 10.1142/s1793524521500613
Abstract: This work provides analytical results towards applications in the field of invasive-invaded systems modeled with nonlinear diffusion and with advection. The results focus on showing regularity, existence and uniqueness of weak solutions using the condition… read more here.
Keywords: nonlinear diffusion; system non; invaded system; lipschitz porous ... See more keywords
Numerical Picard Iteration Methods for Simulation of Non-Lipschitz Stochastic Differential Equations
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DOI: 10.3390/sym12030383
Abstract: In this paper, we present splitting approaches for stochastic/deterministic coupled differential equations, which play an important role in many applications for modelling stochastic phenomena, e.g., finance, dynamics in physical applications, population dynamics, biology and mechanics.… read more here.
Keywords: numerical picard; stochastic differential; lipschitz stochastic; picard iteration ... See more keywords