Zobrazeno 1 - 10
of 47
pro vyhledávání: '"PAUL W. SPIKES"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 22, Iss 1, Pp 147-154 (1999)
The authors obtain oscillation results for the even order forced neutral difference equation Δm(yn+pnyn−k)+qnf(yn−ℓ)=hn. (*) Examples illustrating the results are included.
Externí odkaz:
https://doaj.org/article/cd91b76531724147a8f8f6e425b00900
Autor:
John R. Graef, Paul W. Spikes
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 17, Iss 2, Pp 397-400 (1994)
The authors consider the nonlinear difference equation?[yn+pnyn-h]+qnf(yn-k)=rnwhere ?yn=yn+1-yn, {pn}, {qn}, and {rn} are real sequences, and uf(u)>0 for u?0. Sufficient conditions for boundedness and convergence to zero of certain types of solution
Externí odkaz:
https://doaj.org/article/6024f3c62f5b47808d1593a87c32c776
Autor:
John R. Graef, Myron K. Grammatikopoulos, Yuichi Kitamura, Takasi Kusano, Hiroshi Onose, Paul W. Spikes
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 7, Iss 2, Pp 249-256 (1984)
The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations. A few intermediate re
Externí odkaz:
https://doaj.org/article/c06a857d09704ed9ac38c271e989a7cc
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 5, Iss 2, Pp 263-273 (1982)
The n-th order nonlinear functional differential equation [r(t)x(n−υ)(t)](υ)=f(t,x(g(t)))is considered; necessary and sufficient conditions are given for this equation to have: (i) a positive bounded solution x(t)→B>0 as t→∞; and (ii) all p
Externí odkaz:
https://doaj.org/article/aaddff68c7034fffbbd8bd82834ccb39
Autor:
John R. Graef, Paul W. Spikes
Publikováno v:
Publicationes Mathematicae Debrecen. 32:211-221
Autor:
John R. Graef, Paul W. Spikes
Publikováno v:
Publicationes Mathematicae Debrecen. 24:39-51
Publikováno v:
Proceedings of Indian National Science Academy, Vol 16, Iss 3 (2015)
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 22, Iss 1, Pp 147-154 (1999)
The authors obtain oscillation results for the even order forced neutral difference equationΔm(yn+pnyn−k)+qnf(yn−ℓ)=hn. (*)Examples illustrating the results are included.
Publikováno v:
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics. 38:163-171
The authors consider the higher-order nonlinear neutral delay difference equationand obtain results on the asymptotic behavior of solutions when (pn) is allowed to oscillate about the bifurcation value –1. We also consider the case where the sequen
Publikováno v:
Journal of Difference Equations and Applications. 2:175-183
A criteria for the existence of a positive solution of the odd order neutral difference equation where qn ≥ 0, is established. Results are also obtained for the oscillation of solutions of the above equation when m = I and f is either sublinear or