Existence and Uniqueness;
Stability;
Impulsive Integrodifferential Equation;
Evolution Operators;
Fixed Point Theorem;
FUNCTIONAL-DIFFERENTIAL EQUATIONS;
EXPONENTIAL STABILITY;
SYSTEMS;
CONTROLLABILITY;
THEOREMS;
D O I:
10.2298/FIL1819615R
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, authors investigated the existence and uniqueness of random impulsive semilinear integrodifferential evolution equations with non-local conditions in Hilbert spaces. Also the stability results for the same evolution equation has been studied. The results are derived by using the semigroup theory and fixed point approach. An application is provided to illustrate the theory.
机构:
Chennai Inst Technol, Ctr Computat Modeling, Chennai 600069, Tamilnadu, IndiaChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, Tamilnadu, India
Murugesan, Manigandan
Shanmugam, Saravanan
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机构:
Chennai Inst Technol, Ctr Nonlinear Syst, Chennai 600069, Tamilnadu, IndiaChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, Tamilnadu, India
Shanmugam, Saravanan
Rhaima, Mohamed
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机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi ArabiaChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, Tamilnadu, India
机构:
Department of Mathematics,Annapoorana Engineering College Salem- 636308,Tamil Nadu,IndiaDepartment of Mathematics,Annapoorana Engineering College Salem- 636308,Tamil Nadu,India
M.GOWRISANKAR
P.MOHANKUMAR
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机构:
Department of Mathematics Arupadai Veedu Institute of Technology,Chennai- 636104Department of Mathematics,Annapoorana Engineering College Salem- 636308,Tamil Nadu,India
P.MOHANKUMAR
A.VINODKUMAR
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机构:
Department of Mathematics,PSG College of Technology Coimbatore- 641004,Tamil Nadu,IndiaDepartment of Mathematics,Annapoorana Engineering College Salem- 636308,Tamil Nadu,India
机构:
Department of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham UniversityDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University
A.Vinodkumar
K.Malar
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机构:
Department of Mathematics, Erode Arts and Science CollegeDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University
K.Malar
M.Gowrisankar
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h-index: 0
机构:
Department of Mathematics, Annapoorana Engineering CollegeDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University
M.Gowrisankar
P.Mohankumar
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机构:
Department of Mathematics, A.C.T College of Engineering and TechnologyDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University
机构:
Department of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham UniversityDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University
AVinodkumar
KMalar
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h-index: 0
机构:
Department of Mathematics, Erode Arts and Science CollegeDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University
KMalar
MGowrisankar
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h-index: 0
机构:
Department of Mathematics, Annapoorana Engineering CollegeDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University
MGowrisankar
PMohankumar
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h-index: 0
机构:
Department of Mathematics, ACT College of Engineering andDepartment of Mathematics, Amrita School of Engineerring,Amrita Vishwa Vidyapeetham University