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- W7689417 abstract "We investigate the problem with perturbed periodic boundary values $$left{ begin{gathered} y'''(x) + a_2 (x)y''(x) + a_1 (x)y'(x) + a_0 (x)y(x) = f(x), hfill y^{(i)} (T) = cy^{(i)} (0), i = 0,1,2;;;0 < c < 1 hfill end{gathered} right.$$ with a 2, a 1, a 0 ∈ C[0, T] for some arbitrary positive real number T, 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 a 2, a 1 and a 0 which guarantees unique solvability of the problem. Besides having theoretical value, this problem has also important applications since decay is a phenomenon that all physical signals and quantities (amplitude, velocity, acceleration, curvature, etc.) experience." @default.
- W7689417 created "2016-06-24" @default.
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- W7689417 date "1999-06-01" @default.
- W7689417 modified "2023-10-10" @default.
- W7689417 title "Unique solvability of a linear problem with perturbed periodic boundary values" @default.
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- W7689417 doi "https://doi.org/10.1023/a:1022460520841" @default.
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