Far-from-equilibrium initial conditions probed by a nonlocal observable
Physics Letters B, 2017 Using the gauge/gravity duality, we investigate the evolution of an out-of-equilibrium strongly-coupled plasma from the viewpoint of the two-point function of scalar gauge-invariant operators with large conformal dimension.
L. Shahkarami +3 more
doaj +5 more sources
Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions [PDF]
Advances in Difference Equations, 2011 We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space.
Wang Rong-Nian, Xia Jun
doaj +3 more sources
Semilinear Volterra integrodifferential equations with nonlocal initial conditions [PDF]
Abstract and Applied Analysis, 1999 We establish the global existence of mild solutions to a class of nonlocal Cauchy problems associated with semilinear Volterra integrodifferential equations in a Banach space.
Mark Mckibben, Sergiu Aizicovici
doaj +4 more sources
Infinite first order differential systems with nonlocal initial conditions [PDF]
Boundary Value Problems, 2014 We discuss the solvability of an infinite system of first order ordinary differential equations on the half line, subject to nonlocal initial conditions.
Infante, Gennaro +2 more
core +5 more sources
Existence results for impulsive systems with initial nonlocal conditions
Mathematical Modelling and Analysis, 2013 We study the existence of solutions for nonlinear first order impulsive systems with nonlocal initial conditions. Our approach relies in the fixed point principles of Schauder and Perov, combined with a vector approach that uses matrices that converge to
Octavia Bolojan-Nica +2 more
doaj +5 more sources
Primordial bouncing cosmology in the Deser-Woodard nonlocal gravity
Physics Letters B, 2019 The Deser-Woodard (DW) nonlocal gravity model has been proposed in order to describe the late-time acceleration of the universe without introducing dark energy.
Che-Yu Chen, Pisin Chen, Sohyun Park
doaj +3 more sources
Existence of the solution to a nonlocal-in-time evolutional problem [PDF]
Nonlinear Analysis, 2014 This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Volodymyr Makarov +2 more
doaj +4 more sources
On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions [PDF]
Abstract and Applied Analysis, 2007 The existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the ...
F. Zouyed, F. Rebbani, N. Boussetila
doaj +3 more sources
Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions [PDF]
Complexity, 2018 The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with the ...
Jun Du +3 more
doaj +3 more sources
Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions
MathematicsWe primarily investigate the existence of solutions for fractional neutral integro-differential equations with nonlocal initial conditions, which are crucial for understanding natural phenomena.
Zhiyuan Yuan +4 more
doaj +2 more sources