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Stability of exponential equations in Schwartz distributions

โœ Scribed by Jaeyoung Chung


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
264 KB
Volume
69
Category
Article
ISSN
0362-546X

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We study convergence rates to zero of solutions of the scalar equation where f, g, h are globally Lipschitz, xg(x) ยฟ 0 for nonzero x, and k is continuous, integrable, positive and lim tโ†’โˆž k(t -s)=k(t) = 1, for s ยฟ 0. Then = โˆž a:e: on A for nontrivial solutions satisfying lim tโ†’โˆž X (t) = 0 on A, a