In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-S...In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-Schauder Alternative and Banach Contraction Principle.Finally an example is given to illustrate our problem.展开更多
In this paper, using Banach’s contraction principle, we consider the Hyers-UlamRassias stability of nonlinear partial diferential equations. An example is given to demonstrate the applicability of our results.
基金Supported by the National Nature Science Foundation of China(11371027)Starting Research Fund for Doctors of Anhui University(023033190249)+1 种基金National Natural Science Foundation of China,Tian Yuan Special Foundation(11326115)the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20123401120001)
文摘In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-Schauder Alternative and Banach Contraction Principle.Finally an example is given to illustrate our problem.
文摘In this paper, using Banach’s contraction principle, we consider the Hyers-UlamRassias stability of nonlinear partial diferential equations. An example is given to demonstrate the applicability of our results.
