Existence of solutions to a self-referred and hereditary system of differential equations
We establish the existence and uniqueness of a local solution for the system of differential equations $$displaylines{ frac{partial }{partial t}u(x,t) = uBig(vBig(int_0^t u(x,s)ds, tBig), tBig) cr frac{partial }{partial t}v(x,t) = vBig(uBig(int_0^t v(x,s)ds, tBig), tBig). }$$ with given ini...
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| Format: | Article |
| Language: | English |
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Texas State University
2006-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/07/abstr.html |