Results 51 to 60 of about 161,440 (216)
A singular nonlinear boundary-value problem
Electronic Journal of Differential Equations, 2000 In this paper we prove an existence and uniqueness theorem for the singular nonlinear boundary-value problem $$displaylines{ (|y'(t)|^py'(t))'+frac{phi}{y^{lambda}(t)}=0 hbox{ in } (0,1),cr y(0)=0=y(1), }$$ where $pgeq 0$, $lambda$ is a positive constant,
Robert M. Houck, Stephen B. Robinson
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Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions
Journal of Applied Mathematics, 2013 We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)), t∈[0,1], x(0)=x′(1)=0, x′′(0)=∫01h(s,x(s),x′(s),x ...
Hui Li, Libo Wang, Minghe Pei
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Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif +17 more
wiley +1 more source
Smoothness of solutions of conjugate boundary-value problems on a measure chain
Electronic Journal of Differential Equations, 2000 In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary ...
Eric R. Kaufmann
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Existence results for a mixed boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In the present paper, we obtain an existence result for a class of mixed boundary value problems for second-order differential equations. A critical point theorem is used, in order to prove the existence of a precise open interval of positive eigenvalues
Armin Hadjian, Stepan Tersian
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Arthritis Care &Research, EarlyView.Objective To evaluate utility of an artificial intelligence (AI) health coach for systemic sclerosis (SSc) self‐management and identify patterns associated with participant engagement. Methods We conducted a mixed methods study in which an AI health coach, powered by a large language model (LLM), was used to support self‐management for SSc.
Nirali Shah +4 more
wiley +1 more source
Automated Hand Flexor Tendon–Thickness Measurement in Systemic Sclerosis
Arthritis Care &Research, EarlyView.Objective Systemic sclerosis (SSc) can affect flexor tendons, contributing to hand function problems and reduced quality of life. Tendon changes are currently assessed with ultrasonography and measured manually, a time‐consuming process prone to interobserver variability.
Mark Greveling +4 more
wiley +1 more source
First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales
Discrete Dynamics in Nature and Society, 2011 This work is concerned with the following first-order dynamic equation on time scale , xΔ(t)+p(t)x(σ(t))=f(t,x(t)), t∈[0,T]𝕋 with the nonlinear boundary condition x(0)=g(x(σ(T))).
Ya-Hong Zhao
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Fredholm boundary-value problem for the system of fractional differential equations. [PDF]
Nonlinear Dyn, 2023 Boichuk O, Feruk V.
europepmc +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source