Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels
Keyword(s):
AbstractIn this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels. By treating the problem through fixed point theory and energy method, we obtain the global existence theorem on [0, +∞) of mild and strong solution to the evolution equations with memory effects for oscillating and sign-varying kernels. This theorem generalizes and improves some previous existence results.
2015 ◽
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pp. 381-415
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