Nonlocal Cauchy problems for semilinear evolution equations

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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 associate”
Mixed monotone iterative technique for a class of semilinear impulsive evolution equations in Banach (2011, methodology): “If f (t, u, u) = f1(t, u)+f2(t, u), f1(t, u) is nondecreasing in u and f2(t, u) is nonincreasing in u, then themonotonicity condition (3) is not satisfied, and the existence ofmild solutions for IVP (1) cannot be obtained by the method in [2–12], in this case, we studied the IVP (1).”
On the existence of mild solutions of semilinear evolution differential inclusions (2005, background): “, the existence results recalled in [6, Cha and VI], [9,10,12]).”
Monotone Iterative Technique for a Class of Semilinear Evolution Equations with Nonlocal Conditions (2013, background): “The importance of nonlocal conditions have been discussed in [2,4–6, 8–15].”