Browsing by Subject "nonlocal initial condition"
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Item type:Article, Access status: Open Access , On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces(2012) Yan, ZuomaoIn this paper, we discuss the existence results for a class of nonlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the resolvent operators combined with approximation techniques.Item type:Article, Access status: Open Access , On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces(2011) Yang, YanLong; Wang, JinRongIn this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. The main results are obtained by using the Schaefer fixed point theorem and semigroup theory. Finally, an example is given for demonstration.