Zobrazeno 1 - 10
of 17
pro vyhledávání: '"William T. Patula"'
Autor:
William T. Patula, H.D. Voulov
Publikováno v:
Journal of Difference Equations and Applications. 10:329-338
We consider positive solutions of the following difference equation where A n , B n are positive and periodic with period 3. We prove that all solutions of the above equation are eventually periodic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1225593a2f1d6ab004298bab9c75312
https://doi.org/10.1080/10236190410001659741
https://doi.org/10.1080/10236190410001659741
Autor:
William T. Patula, D. P. Mishev
Publikováno v:
Journal of Mathematical Analysis and Applications. 252(1):364-375
We establish oscillation results and prove global asymptotic stability for the following difference equation: y n + 1 = A + y n y n − 2 ··· y n − (2 k − 2) y n − 1 y n − 3 ··· y n − (2 k − 1) , A > 0, k ≥ 2, n ≥ 2k.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95ef5efacaa216c568160cf3aa66fab1
Autor:
C. Darwen, William T. Patula
Publikováno v:
Journal of Mathematical Analysis and Applications. 218:458-478
We investigate oscillation, cycle length, and extreme values for the difference equationxn + 1 = (a + ∑k − 1i = 0 bixn − i)/xn − k, whereaandbiare nonnegative numbers and (a + ∑k − 1i = 0 bi) > 0. Ifa > 0, it is known from Theorem 2.2.1 o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9b531b4c882ed6285c594665ffe1b1e
https://doi.org/10.1006/jmaa.1997.5812
https://doi.org/10.1006/jmaa.1997.5812
Autor:
Calvin D. Ahlbrandt, William T. Patula
Publikováno v:
Journal of Difference Equations and Applications. 1:1-15
Olver has given an elegant construction of recessive solutions of nonhomogeneous scalar three term recurrence relations. We investigate the feasibility of applying his methods to block tridiagonal nonhomogeneous systems where the coefficient matrices
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ee9b8b7b44a4a04c868e48088885a02
https://doi.org/10.1080/10236199508808003
https://doi.org/10.1080/10236199508808003
Autor:
Sui Sun Cheng, William T. Patula
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 20:193-203
where p > 1 and {s,)‘p is a real sequence. We establish conditions under which (1.1) has a positive nondecreasing solution. Here a solution of (1.1) is a real sequence y = (_Y~); which satisfies (1.1). Since (1.1) is a recurrence relation, given re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a356503d539dafe29dbd2527900279a1
https://doi.org/10.1016/0362-546x(93)90157-n
https://doi.org/10.1016/0362-546x(93)90157-n
Autor:
John W. Hooker, William T. Patula
Publikováno v:
Journal of Mathematical Analysis and Applications. 91:9-29
Discrete analogues are investigated for well-known results on oscillation, growth, and asymptotic behavior of solutions of y″ + q(t) yγ = 0, for q(t) ⩾ 0 and for q(t) ⩽ 0. The analogue of Atkinson's oscillation criterion is shown to be true fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f0c2178a66480798044c6d343682b1f
https://doi.org/10.1016/0022-247x(83)90088-4
https://doi.org/10.1016/0022-247x(83)90088-4
Autor:
William T. Patula
Publikováno v:
SIAM Journal on Mathematical Analysis. 10:1272-1279
This paper studies homogeneous and nonhomogeneous second order linear difference equations. Comparison theorems based on the coefficients are proven for the homogeneous equation. Existence of so ca...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d135a6319a6bcd926bb66297e60ef73
https://doi.org/10.1137/0510114
https://doi.org/10.1137/0510114
Publikováno v:
Journal of Mathematical Analysis and Applications. 141:463-483
In this paper we study boundedness and monotonicity properties of a homogeneous second-order linear difference equation. Under certain conditions it is shown that every solution must eventually be monotonic. The question of when such monotonic soluti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b20293f2be071829a4a5e5f767ba169
https://doi.org/10.1016/0022-247x(89)90191-1
https://doi.org/10.1016/0022-247x(89)90191-1
Autor:
William T. Patula, John W. Hooker
Publikováno v:
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics. 26:310-328
For the fourth-order linear difference equation Δ4un−2 = bn un, with bn > 0 for all n, generalized zeros are defined, following Hartman [5], and two theorems are proved concerning separation of zeros of linearly independent solutions. Some prelimi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d812a028f09ec4ff2a0951dc84e789eb
https://doi.org/10.1017/s0334270000004537
https://doi.org/10.1017/s0334270000004537
Autor:
William T. Patula, Ronald Grimmer
Publikováno v:
Journal of Mathematical Analysis and Applications. 56(2):452-459
The number of nonoscillatory solutions of a forced second order linear differential equation is studied under the hypothesis that the homogeneous equation is oscillatory. The main technique involves expressing a general solution of the forced equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48d0d5cea28b3cd2c26a277625cc26ea