Some Existence and Stability Results for Hilfer-fractional Implicit Differential Equations with Nonlocal Conditions
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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… read more here.
Keywords: implicit differential; existence stability; stability results; differential equations ... See more keywords
Stability results of properties related to the Bishop-Phelps-Bollobás property for operators
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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… read more here.
Keywords: bishop phelps; bollob property; phelps bollob; property operators ... See more keywords
Global existence and stability results for a time-fractional diffusion equation with variable exponents
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DOI: 10.1007/s40065-024-00463-2
Abstract: This paper aims to study the existence and stability results concerning a fractional partial differential equation with variable exponent source functions. The local existence result for α∈(0,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}… read more here.
Keywords: existence stability; equation variable; stability results; stability ... See more keywords
Stability of Results of Treatment and Therapeutic Compliance of Patients with Organic Non-psychotic Mental Disorders
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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… read more here.
Keywords: psychotic mental; treatment; stability results; mental disorders ... See more keywords
Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems
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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… read more here.
Keywords: order elliptic; stability results; higher order; elliptic operators ... See more keywords
Dwell-time-dependent stability results for impulsive systems
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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… read more here.
Keywords: impulsive systems; time; stability results; lyapunov like ... See more keywords
Stability results for martingale representations: The general case
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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… read more here.
Keywords: stability results; general case; martingale representations; results martingale ... See more keywords
Global existence and stability results for partial delay integro-differential equations with random impulses
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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… read more here.
Keywords: existence stability; integro differential; global existence; stability results ... See more keywords
Stability Results for Some Classes of Cubic Functional Equations
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DOI: 10.3390/axioms13070480
Abstract: Applications involving functional equations (FUEQs) are commonplace. They are essential to various applications, such as fog computing. Ulam’s notion of stability is highly helpful since it provides a range of estimates between exact and approximate… read more here.
Keywords: stability results; stability; results classes; functional equations ... See more keywords