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Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-1061-0
Abstract: The aim of this paper is to establish the existence and uniqueness results for implicit differential equations of Hilfer-type fractional order via Schaefer’s fixed point theorem and Banach contraction principle. Next, we establish the equivalent…
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Keywords:
implicit differential;
existence stability;
stability results;
differential equations ... See more keywords
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Published in 2019 at "Science China Mathematics"
DOI: 10.1007/s11425-019-9569-2
Abstract: We prove that the class of Banach spaces Y such that the pair (ℓ 1 , Y ) has the Bishop-Phelps-Bollobás property for operators is stable under finite products when the norm of the product…
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Keywords:
bishop phelps;
bollob property;
phelps bollob;
property operators ... See more keywords
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Published in 2017 at "European Psychiatry"
DOI: 10.1016/j.eurpsy.2017.01.1286
Abstract: Introduction Non-psychotic mental disorders of organic register tend to have protracted progressive course, to respond poorly to treatment. Traditionally it is explained by features of cerebral-organic process. However, affective, behavioural and cognitive disturbances can be…
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Keywords:
psychotic mental;
treatment;
stability results;
mental disorders ... See more keywords
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Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.05.011
Abstract: Abstract We study the spectral behavior of higher order elliptic operators upon domain perturbation. We prove general spectral stability results for Dirichlet, Neumann and intermediate boundary conditions. Moreover, we consider the case of the bi-harmonic…
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Keywords:
order elliptic;
stability results;
higher order;
elliptic operators ... See more keywords
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Published in 2017 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2016.1350
Abstract: This study is concerned with the dwell-time stability for impulsive systems under periodic or aperiodic impulses. A Lyapunov-like functional approach is established to study the stability for impulsive systems. The Lyapunov-like functional is time-varying and…
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Keywords:
impulsive systems;
time;
stability results;
lyapunov like ... See more keywords
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7880
Abstract: In this paper, we obtain stability results for martingale representations in a very general framework. More specifically, we consider a sequence of martingales, each adapted to its own filtration, and a sequence of random variables…
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Keywords:
stability results;
general case;
martingale representations;
results martingale ... See more keywords
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Published in 2023 at "Filomat"
DOI: 10.2298/fil2301317a
Abstract: We investigate the global existence, continuous dependence and exponential stability for mild solutions of a class of delay partial integro-differential equation with random impulsive moments. The results are obtained by using the Leray-Schauder alternative fixed…
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Keywords:
existence stability;
integro differential;
global existence;
stability results ... See more keywords