Results 51 to 60 of about 3,263,731 (289)

Finite-difference solutions of tenth-order boundary-value problems [PDF]

, 1994
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
core   +6 more sources

Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2018
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
doaj   +1 more source

Frailty Predicts Incident Osteoporotic Fractures in Veterans with Rheumatoid Arthritis

Arthritis Care &Research, EarlyView.
Objective Rheumatoid arthritis (RA) is associated with an increased risk of frailty and osteoporosis, but the relationship between frailty and incident osteoporotic fractures in RA is underexplored. Methods Data were from the Veterans Affairs (VA) Rheumatoid Arthritis Registry. Frailty was measured using the VA Frailty Index (VAFI).
Katherine D. Wysham, Hannah F. Brubeck, Aaron Baraff, Punyasha Roul, Namrata Singh, James S. Andrews, Grant W. Cannon, Gary A. Kunkel, Ted R. Mikuls, Bryant R. England, Dolores M. Shoback, Patricia P. Katz, Jose M. Garcia, Ariela R. Orkaby, Joshua F. Baker   +14 more
wiley   +1 more source

Existence Results for Solutions of Nonlinear Fractional Differential Equations

Abstract and Applied Analysis, 2012
This paper deals with theoretical and constructive existence results for solutions of nonlinear fractional differential equations using the method of upper and lower solutions which generate a closed set.
Ali Yakar, Mehmet Emir Koksal
doaj   +1 more source

When Nonlinear Differential Equations are Equivalent to Linear Differential Equations [PDF]

SIAM Journal on Applied Mathematics, 1982
A necessary and sufficient condition is established for the existence of a $1 - 1$ transformation of a system of nonlinear differential equations to a system of linear equations. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations.
Kumei, Sukeyuki, Bluman, George W.
openaire   +2 more sources

Development of a Disease Activity Index for the Assessment of VEXAS Syndrome (VEXAS‐DAI)

Arthritis Care &Research, EarlyView.
Objective Vacuoles, E1 enzyme, X‐linked, autoinflammatory, somatic syndrome (VEXAS) syndrome is characterized by a complex spectrum of inflammatory and hematologic manifestations. Clinical research to identify effective therapies is urgently needed but is hindered by the lack of validated outcome measures.
Kevin Byram, Heřman Mann, Danielle Hammond, Onima Chowdhury, Sinisa Savic, Yohei Kirino, Carmelo Gurnari, Maël Heiblig, Thibault Comont, Arsène Mekinian, Mrinal M. Patnaik, Lachelle D. Weeks, Gary Ho, Adam Al‐Hakim, Scott Goldberg, Marcela A. Ferrada, Sophie Georgin‐Lavialle, Peter C. Grayson, Emma M. Groarke, Bhavisha Patel, Megan Sullivan, Sarah A. Buckley, Bryan G. Harder, Raman Garcha, David B. Beck, Matthew J. Koster   +25 more
wiley   +1 more source

The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

Results in Physics
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
doaj   +1 more source

The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations

Abstract and Applied Analysis, 2014
The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations.
S. S. Motsa, F. G. Awad, Z. G. Makukula, P. Sibanda   +3 more
doaj   +1 more source

Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative

, 2023
The purpose of this paper is to study nonlinear implicit differential equations with the Caputo–Katugampola fractional derivative. By using Gronwall inequality and Banach fixed-point theorem, the existence of the solution of the implicit equation ...
Yunying Zhang, Qun Dai
core   +1 more source

Longitudinal Changes in Adiposity After a Youth Sport‐Related Knee Injury: Informing Posttraumatic Osteoarthritis Prevention

Arthritis Care &Research, EarlyView.
Objective Youth who experience a sport‐related knee injury have elevated odds of becoming overweight or developing obesity in 3 to 10 years, compounding their risk for posttraumatic osteoarthritis (PTOA). To inform prevention strategies, this study compared patterns of adiposity change between youth with a sport‐related knee injury and uninjured youth ...
Justin M. Losciale, Nuria E. J. Jansen, Christina Y. Le, Leo Lu, Hui Xie, Marienke van Middelkoop, Jackie L. Whittaker   +6 more
wiley   +1 more source