Results 21 to 30 of about 3,751,517 (253)

The American Congress of Rehabilitation Medicine Diagnostic Criteria for Mild Traumatic Brain Injury [PDF]

, 2023
: Objective: To develop new diagnostic criteria for mild traumatic brain injury (TBI) that are appropriate for use across the lifespan and in sports, civilian trauma, and military settings.
Broglio, Steven P., Putukian, Margot, Davis, Gavin A., Bayley, Mark T., Leddy, John J., Le Sage, Natalie, van der Naalt, Joukje, Anderson, Vicki, Lumba-Brown, Angela, Bazarian, Jeffery J., Cogan, Alison, Iverson, Grant L., Katz, Douglas I., Suskauer, Stacy J., Ponsford, Jennie, Iaccarino, Mary Alexis, Zemek, Roger, McKinney, Gary, Wethe, Jennifer V., Kurowski, Brad G., Panenka, William J., Dams-O-Connor, Kristen, Zafonte, Ross, Zasler, Nathan D., Nagele, Drew, Reed, Nick, Kajankova, Maria, Kamins, Joshua, McCrea, Michael, Whitehair, Victoria, Manley, Geoffrey T., Cifu, David, Echemendia, Ruben J., Hinds II, Sidney R., Gioia, Gerard A., Graf, Min Jeong P., Yeates, Keith Owen, Rabinowitz, Amanda R., Walker, William C., Silverberg, Noah D., Bell, Kathleen R., Arciniegas, David B., Dvorak, Jiri, Menon, David K., Maas, Andrew I.R., Delmonico, Richard, McCulloch, Karen L., Giza, Christopher C.   +47 more
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Existence of Mild Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators

Axioms, 2022
In this paper, we obtain new sufficient conditions of the existence of mild solutions for Hilfer fractional evolution equations in the cases that the semigroup associated with an almost sectorial operator is compact as well as noncompact.
Mian Zhou, Chengfu Li, Yong Zhou
doaj   +1 more source

Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions

Fractal and Fractional, 2018
The objective of this paper is to analyze the approximate controllability of a semilinear stochastic integrodifferential system with nonlocal conditions in Hilbert spaces.
Annamalai Anguraj, K. Ramkumar
doaj   +1 more source

On a Linear Differential Game of Pursuit with Integral Constraints in ℓ²

Mathematics
In this paper, we study the stability, controllability, and differential game of pursuit for an infinite system of linear ODEs in ℓ2. The system we consider has a special right-hand side, which is not diagonal and serves as a toy model for controllable ...
Ibroximjon Zaynabiddinov, Marks Ruziboev, Gafurjan Ibragimov, Tiziana Ciano   +3 more
doaj   +1 more source

Propagation of Chaos for Weakly Interacting Mild Solutions to Stochastic Partial Differential Equations

, 2023
This article investigates the propagation of chaos property for weakly interacting mild solutions to semilinear stochastic partial differential equations whose coefficients might not satisfy Lipschitz conditions.
David Criens, Criens, David
core   +1 more source

Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half-line

Advances in Difference Equations, 2017
In this paper, we get a new form equivalent integral equation for a class of evolution equations of fractional order with nonlocal conditions on the half-line.
Zhanmei Lv, Yanping Gong, Yi Chen
doaj   +1 more source

Topological Properties of Solution Sets for τ-Fractional Non-Instantaneous Impulsive Semi-Linear Differential Inclusions with Infinite Delay

Fractal and Fractional, 2023
The knowledge of fractional calculus can be useful in developing models that allow us to better understand and manage some phenomena. In the present paper, we study the topological structure of the mild solution set for a semi-linear differential ...
Zainab Alsheekhhussain, Ahmed Gamal Ibrahim, Yousef Jawarneh   +2 more
doaj   +1 more source

Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup [PDF]

, 2012
This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup. We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in ...
He Yang
core   +1 more source

Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients [PDF]

, 2002
summary:In the present paper, using a Picard type method of approximation, we investigate the global existence of mild solutions for a class of Ito type stochastic differential equations whose coefficients satisfy conditions more general than the ...
Barbu, Dorel, Bocşan, Gheorghe
core   +1 more source

On the Mild Solutions of Second-Order Θ-Caputo Fractional Boundary Value Problems

Mathematics
In this paper, we study a class of second-order fractional boundary value problems involving Θ-Caputo derivatives of different orders. By reformulating the problem to an integral equation, we introduce an appropriate notion of a mild solution in the Θ ...
Mouataz Billah Mesmouli, Abdelouaheb Ardjouni, Loredana Florentina Iambor, Taher S. Hassan   +3 more
doaj   +1 more source