Existence of solutions for neutral functional differential evolution equations with nonlocal conditions

By Xianlong Fu, Khalil Ezzinbi. 2003

119 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/70bc0d769aa7389f0f60ae9c4361c1dd2d385429

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In Applied Mathematics

In Modeling and Simulation

Citations in the corpus

Approximate Controllability of Second-Order Evolution Differential Inclusions in Hilbert Spaces (2015, background): “Existence and controllability results of nonlinear differential equations and fractional differential equations with nonlocal conditions have been studied by several authors for different kind of problems [2,3,15,18,23,29,34,56].”
Existence of solutions for semilinear neutral stochastic functional differential equations with nonlocal conditions (2009, background): “Since then, many authors have continued this work in several directions including nonlocal condition and established existence theories for first-order nonlinear evolution equations [1], semilinear evolution equations [22], delay equations [2], integro-differential equations [3,20], semilinear funct”
Controllability for a class of second-order evolution differential inclusions without compactness (2019, background): “Existence and controllability results of nonlinear differential equations and fractional differential equations with nonlocal conditions has been studied by several authors for different kind of problems [8,14,16,17,40,41].”
Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces (2009, background): “In [13] Fu and Ezzinbi study neutral functional differential equations with nonlocal initial conditions.”
Semilinear Differential Equations with Nonlocal Conditions in Banach Spaces (2006, unknown): “Other contributions see [4, 9, 11, 13, 19].”
Controllability results for fractional order neutral functional differential inclusions with infinite delay (2017, unknown): “Since the appearance of this paper, several papers have addressed the issue of existence and uniqueness results for various types of nonlinear diﬀerential equations [13, 14, 20, 36, 23, 33, 55].”