On difference differential equations with periodic coefficients
نویسندگان
چکیده
منابع مشابه
Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients
and Applied Analysis 3 is conditionally oscillatory with the oscillation constant K 1/4. It is known see 22 that the equation [ r t y′ t ]′ γs t t2 y t 0, 1.5 where r, s are positive periodic continuous functions, is conditionally oscillatory as well. We also refer to 23 and 24–29 which generalize 23 for the discrete case, see 30 . Since the Euler difference equation Δyk γ k 1 k yk 1 0 1.6 is c...
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1 Am. J. Math.,, 47, 140-147 (1925). 2 Mitchell, H. H., Trans. Am. Math. Soc., 17, 167 (1916). 3 Vandiver, H. S., these PROCEEDINGS, 28, 25 (1942). 4 Hilbert, D., Gesammelte Abhandlungen, Bd. I, Berlin, Springer (1932), pp. 199, 203. 5The derivations of the formulas (12)-(20) which follow resemble some of the steps in our previous paper,' but from then on the treatment is a bit different. 6 Van...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1961
ISSN: 0022-247X
DOI: 10.1016/0022-247x(61)90008-7