Existence Theory for Integrodifferential Equations and Henstock-Kurzweil Integral in Banach Spaces
We prove existence theorems for the integrodifferential equation x'(t)=f(t,x(t),∫0tk(t,s, x(s))ds), x(0)=x0, t∈Ia=[0,a], a>0, where f,k,x are functions with values in a Banach space E and the integral is taken in the sense of HL. Additionally, the functions f and k satisfy certain boundary c...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2007-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2007/31572 |