In this paper, the fixed point theory is used to investigate the existence and uniqueness of solutions of initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces.
On well-posedness of an initial value problem for nonlinear second-order impulsive integro-differential equations of Volterra type in Banach spaces
โ Scribed by Lishan Liu; Yonghong Wu; Xinguang Zhang
- Book ID
- 108175456
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 162 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x and deviating argument x(ฮฒ(t)) in Banach space.
In this paper, we develop a theorem for the existence of global solutions of an initial value problems for a class of second-order impulsive integro-differential equations of mixed type in a real Banach space. The results obtained are the generalizations and improvements of various recent results. A