Results 141 to 150 of about 384,616 (321)
Behavior at infinity of psi-evanescent solutions to linear differential equations
In this article we present some necessary and sufficient conditions for the existence of $psi$-evanescent solution of the nonhomogeneous linear differential equation $x'=A(t)x+f(t)$, which is related to the notion of $psi$-ordinary dichotomy for the ...
Pham Ngoc Boi
doaj
Addition to my paper “Generalized ordinary differential equations and continuous dependence on a parameter” [PDF]
Jaroslav Kurzweil
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Semi‐automated hippocampal avoidance whole‐brain radiotherapy planning
Abstract Background Hippocampal avoidance whole‐brain radiotherapy (HA‐WBRT) is designed to spare cognitive function by reducing radiation dose to the hippocampus during the treatment of brain metastases. Current manual planning methods can be time‐consuming and may vary in quality, necessitating the development of automated approaches to streamline ...
Dong Joo Rhee+9 more
wiley +1 more source
In this study, we investigate the use of damped linear dynamic equations with the conformable derivative on time scales to provide sufficient conditions to guarantee nonoscillation for nontrivial solutions of both ordinary differential and discrete ...
Kazuki Ishibashi
doaj
The Picard-Vessiot Theory of Homogeneous Linear Ordinary Differential Equations [PDF]
E. R. Kolchin
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Abstract Background The aim of this study was to thoroughly analyze the reproducibility of radiomics feature extraction across three Image Biomarker Standardization Initiative (IBSI)‐compliant platforms using a digital phantom for benchmarking. It uncovers high consistency among common features while also pointing out the necessity for standardization ...
Han‐Back Shin+5 more
wiley +1 more source
Transformations in metric spaces and ordinary differential equations [PDF]
John V. Wehausen
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Abstract Purpose Sparing pharyngeal constrictor muscles (PCMs) during radiotherapy improves patient‐reported swallowing function. This study aimed to explore the feasibility of integrating knowledge‐based planning (KBP) with multicriteria optimization (MCO) in Eclipse v18.0 to selectively spare PCM, quantify the required trade‐off in prophylactic ...
Laura K. Howard+3 more
wiley +1 more source
On the classification of the ordinary differential equations of field theory [PDF]
Parry Moon, Domina Eberle Spencer
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Abstract Purpose Four‐dimensional cone‐beam CT (4D CBCT) incorporates oversampling of 3D data to reconstruct multi‐phase CBCT data sets representing distinct phases of the breathing cycle based on a diaphragmatic correlate of respiratory motion. Motion artifacts and blurring can be reduced relative to three‐dimensional cone‐beam (3D CBCT), allowing ...
Colton Baley+4 more
wiley +1 more source