Inverse Problem of Class of Delay Differential Equations and Fast Estimation of Parameters
This article introduces an integral representation formula to solve delay nonlinear ordinary differential equations (DDEs) as an improvment to the method proposed by Tyukin I, et al. of solving a class of ordinary differential equations.
Ibrahim Makki Khalil +1 more
doaj +1 more source
New Existence and Uniqueness Results for Fractional Differential Equations
In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence and uniqueness results are obtained by using Banach fixed point theorem.
Anber Ahmed, Belarbi Soumia
doaj +1 more source
The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations
In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu +3 more
doaj +1 more source
Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
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
This paper is aimed at proving some unique common fixed point theorems by using the compatible and weakly-compatible four self-mappings in fuzzy cone metric (FCM) space.
Saif Ur Rehman +3 more
doaj +1 more source
Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
core
Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park +5 more
wiley +1 more source
Generalizations of Integral Inequalities with Two Variables and their Applications
In this paper, we discuss a retarded nonlinear integral inequality with two variables. By using the techniques of monotonization and reducing the function outside the integral to constant, we give an estimation of the unknown function in the inequality ...
ZHEN Bing, ZHONG Ji-Yu, DUAN Ying-Tao
doaj
Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions
In the present work, a new approximated method for solving the nonlinear Duffing-Van der Pol (D-VdP) oscillator equation is suggested. The approximate solution of this equation is introduced with two separate techniques. First, we convert nonlinear D-VdP
M. Mohammadi +3 more
doaj +1 more source
Utility of the APE2 Score as a Diagnostic Tool for Autoimmune Encephalitis
ABSTRACT Objective To retrospectively evaluate the diagnostic performance of the Antibody Prevalence in Epilepsy and Encephalopathy (APE2) score relative to clinician‐adjudicated autoimmune encephalitis (AE) and the Graus criteria in a tertiary neuroimmunology referral cohort, including antibody‐negative AE.
Bijoya Basu +3 more
wiley +1 more source

