Existence results for a class of abstract nonlocal Cauchy problems
By Sergiu Aizicovici, Mark A. McKibben. 2000
124 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/864aa6649e97526f9d35db10af8a34e27c02548c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- V. Vijayakumar
- Jesus Garcia-Falset
- Sergiu Aizicovici
- X. Xue
- Rangasamy Murugesu
- Nazim Idrisoglu Mahmudov
- V. Staicu
- P. Balasubramaniam
Citations in the corpus
- Existence results and asymptotic behavior for nonlocal abstract Cauchy problems (2008, background): “Hence these cases are out of the scope of the results given in [2,3].”
- Multivalued evolution equations with nonlocal initial conditions in Banach spaces (2007, background): “Results on fully nonlinear abstract nonlocal Cauchy problem have been obtained in [2], [3], [4].”
- 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”
- Semilinear Differential Equations with Nonlocal Conditions in Banach Spaces (2006, unknown): “Aizicovici [ 1 , 2] studies the nonlocal Cauchy problems when A is a nonlinear m-accretive operator on X. Recently, Xue [20, 21] discusses the semilinear and nonlinear nonlocal problem (1.1), (1.2) by using the method of topological transformation, respectively, which avoids the difficulties associa”
- 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].”
- Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces (2009, background): “In [2] Aizicovici and McKibben discuss the nonlinear nonlocal problem (1.”