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Applied Mathematics-A Journal of Chinese Universities  2018, Vol. 33 Issue (1): 71-87    DOI: 10.1007/s11766-018-3449-4
    
Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis
P Indhumathi1, A Leelamani2
1 Department of Mathematics, Tamilnadu College of Engineering, Coimbatore-641 659, Tamil Nadu, India. Email: drindhumathsj14@gmail.com
2 Department of Mathematics, Anna University Regional Centre, Coimbatore-641 046, Tamil Nadu, India. Email: aleelamani@gmail.com
Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis
P Indhumathi1, A Leelamani2
1 Department of Mathematics, Tamilnadu College of Engineering, Coimbatore-641 659, Tamil Nadu, India. Email: drindhumathsj14@gmail.com
2 Department of Mathematics, Anna University Regional Centre, Coimbatore-641 046, Tamil Nadu, India. Email: aleelamani@gmail.com
 全文: PDF 
摘要： 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.
关键词： neutral equation;  Leray Schauder Alternative;  Banach Contraction Principle;  semigroup of linear operators    
Abstract: 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.
Key words: neutral equation    Leray Schauder Alternative    Banach Contraction Principle    semigroup of linear operators
收稿日期: 2016-06-16 出版日期: 2018-03-28
CLC:  34K40  
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引用本文:

P Indhumathi, A Leelamani. Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis[J]. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(1): 71-87.

P Indhumathi, A Leelamani. Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(1): 71-87.

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http://www.zjujournals.com/amjcub/CN/10.1007/s11766-018-3449-4    或    http://www.zjujournals.com/amjcub/CN/Y2018/V33/I1/71

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