Unique solvability of a linear problem with perturbed periodic boundary values
Bahman Mehri, Mohammad H. Nojumi (1999)
Czechoslovak Mathematical Journal
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We investigate the problem with perturbed periodic boundary values with for some arbitrary positive real number , by transforming the problem into an integral equation with the aid of a piecewise polynomial and utilizing the Fredholm alternative theorem to obtain a condition on the uniform norms of the coefficients , and which guarantees unique solvability of the problem. Besides having theoretical value, this problem has also important applications since decay is a phenomenon...