Existence of positive solutions for neutral difference equations with positive and negative coefficients
β Scribed by Zhiguo Luo; Jianhua Shen
- Book ID
- 107500516
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2002
- Tongue
- English
- Weight
- 221 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1005-1031
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π SIMILAR VOLUMES
In this paper, we investigate the oscillation and nonoscillation of the neutral difference equation with variable coefficients where pn,qn, c~n (n = 0,1,2,...) are real numbers with pn >\_ 0, qn >\_ 0, cn \_> 0, k, l, and r are integers with 0 < I < k -1, r > 0, Pn -qn-k+l ~--0, and not identically
In this paper, we consider the following higher-order neutral functional differential equations with positive and negative coefficients: -& [z(t) + cx (t -T)l + (-1) \*+l [P(t)?2 (t -CT) -Q(t)2 (t -a)] = 0, t 2 to, where n > 1 is an integer, c E R, ~,o,6 E W+, and P,Q E C([to,m),W+), IR+ = [O ,oo).
obtain some new results for oscillation of all solutions of the neutral differential equation with positive and negative coefficients i [y(t) -R(Mt -r)l + P(Mt -7) -Q(Mt -0) = 0, where P,Q, R E C([to, co),R), r E (O,m), and r,(~ E [O,w). These new results are obtained by establishing and using some