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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
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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
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Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions [PDF]
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
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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
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Evolution equations with nonlocal initial conditions and superlinear growth [PDF]
Journal of Differential Equations, 2021 We carry out an analysis of the existence of solutions for a class of nonlinear partial differential equations of parabolic type. The equation is associated to a nonlocal initial condition, written in general form which includes, as particular cases, the Cauchy multipoint problem, the weighted mean value problem and the periodic problem. The dynamic is
Irene Benedetti, Simone Ciani
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Integrodifferential evolution systems with nonlocal initial conditions [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii's fixed point theorem for a sum ...
", Sylvain Koumla, Radu Precup
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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
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On a first-order differential system with initial and nonlocal boundary conditions [PDF]
Demonstratio Mathematica, 2022 This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions.
Ngoc Le Thi Phuong, Long Nguyen Thanh
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Infinite first order differential systems with nonlocal initial conditions [PDF]
Boundary Value Problems, 2015 Nous discutons de la solvabilité d'un système infini d'équations différentielles ordinaires du premier ordre sur la demi-droite, sous réserve de conditions initiales non locales. Le résultat principal indique que si les non-linéarités possèdent une croissance « sous-linéaire » appropriée, alors le système a au moins une solution.
Gennaro Infante +2 more
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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
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