Results 21 to 30 of about 68,318,938 (234)
Controllability of nonlinear ordinary differential equations with non-instantaneous impulses
Mathematical Modelling and Control, 2022 <abstract><p>In this paper, we consider controllability of the initial value problem with non-instantaneous impulse on ordered Banach spaces. We firstly give a solution expression for initial value problems with non-instantaneous impulses in ordered Banach Spaces by using Schauder fixed point theorem.
Zhen Xin, Yuhe Yang, Qiaoxia Li
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Oscillations of second-order nonlinear impulsive ordinary differential equations
Journal of Computational and Applied Mathematics, 2003 The authors study the second-order impulsive ordinary differential equation \[ \left(r(t)\bigl(x'(t)\bigr)^\sigma \right)'+f(t,x(t))=0, \qquad t\geq t_0, \;t\neq t_k, \;k=1,2,\dots \eqno(1) \] where \(r\in C({\mathbb R}, (0,\infty))\), \(f\in C({\mathbb R}\times {\mathbb R}, {\mathbb R})\) and \(f\) satisfies the sign condition \(xf(t,x)>0\) for all ...
He, Zhimin, Ge, Weigao
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 Summary: We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov functionals.
Afonso, Suzete, da Silva, Márcia
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, 2023 : In this paper, we will display Adomian decomposition method for solving second-order ordinary differential equations with constant coefficient. The Adomian decomposition method(ADM) is a creative and effective method for exact solution. It is important
Mohammed Ali Qasem Mohsen +1 more
core +1 more source
Tumour‐proximal deep serum proteomics identifies biomarkers associated with ovarian cancer
Molecular Oncology, EarlyView.New biomarkers are needed for early ovarian cancer detection. Ovarian (tumour‐proximal) and peripheral vein serum from healthy women and patients with benign or malignant tumours underwent nanoparticle‐enriched deep proteomics. Ovarian serum yielded more protein identifications and revealed tumour‐reflective signatures.
Darren Lau +9 more
wiley +1 more source
Practical stability of differential equations with non-instantaneous impulses
, 2017 The concept of practical stability is generalized to nonlinear differential equations with non-instantaneous impulses. These type of impulses start their action abruptly at some points and then continue on given finite intervals.
Donal 'Regan +6 more
core +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Variants in SLC6A1, encoding the GABA transporter 1 (GAT‐1), cause epilepsy, autism spectrum disorder, and developmental delay via loss of GABA uptake, impaired trafficking, and ER retention. We previously found that 4‐Phenylbutyrate (PBA), an FDA‐approved drug, restores GABA uptake and reduces seizures in SLC6A1‐related disorders ...
Melissa B. DeLeeuw +5 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit +11 more
wiley +1 more source
A Boundary Value Problem for a System of Ordinary Differential Equations with Impulse Effects
Rocky Mountain Journal of Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eloe, Paul W., Henderson, Johnny
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Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
wiley +1 more source