Existence local and global solution of multipoint Cauchy problem for nonlocal nonlinear equations
Abstract
In this paper, the multipoint Cauchy problem for nonlocal nonlinear wave type equatons are studied.The equation involves a convolution integral operator with a general kernel function whose Fourier transform is nonnegative. We establish local and global existence and uniqueness of solutions assuming enough smoothness on the initial data together with some growth conditions on the nonlinear term
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