Zobrazeno 1 - 10
of 11
pro vyhledávání: '"S. W. Schultz"'
Publikováno v:
SARAJEVO JOURNAL OF MATHEMATICS. 8:283-292
Publikováno v:
Differential Equations and Dynamical Systems. 18:19-28
It is known that every positive solution of the difference equation with positive parameter β > 0 $$ x_{n + 1} = \beta + \frac{{x_{n - 2} }} {{x_n }}, n = 0,1, \ldots $$ is bounded. In this note we study the difference equation $$ x_{n + 1} = \beta
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 47:4743-4751
Publikováno v:
Proceedings of the American Mathematical Society. 126:3257-3261
We show that every positive solution of the equation \[ x n + 1 = A x n + 1 x n − 2 , n = 0 , 1 , … , x_{n+1} = \frac {A}{x_{n}} + \frac {1}{x_{n-2}}, \hspace {.2in} n = 0, 1, \ldots , \] where A ∈ ( 0 , ∞ ) A \in (0, \infty ) , converges to
Publikováno v:
Journal of Difference Equations and Applications. 3:259-266
We obtain necessary and sufficient conditions for the boundedness of the positive solutions of the equation where and the initial conditions x - 1 and x 0 are arbitary positive numbers.
Publikováno v:
gmj. 1:229-233
We discuss the dynamics of the positive solutions of the delay difference equation in the title for some special values of the parameters A, p and k and we pose a conjecture and two open problems.
Publikováno v:
Georgian Mathematical Journal. 1:229-233
We discuss the dynamics of the positive solutions of the delay difference equation in the title for some special values of the parametersA, p, andk, and we pose a conjecture and two open problems.
Publikováno v:
Recent Trends in Differential Equations ISBN: 9789810209636
Recent Trends in Differential Equations
Recent Trends in Differential Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f098257d0e226f5338108eca34c78e14
https://doi.org/10.1142/9789812798893_0029
https://doi.org/10.1142/9789812798893_0029
Publikováno v:
Proceedings of the American Mathematical Society; Nov1998, Vol. 126 Issue 11, p3257-3261, 5p
Autor:
S. W. Schultz
Publikováno v:
Applicable Analysis. 30:47-63
Consider the neutral delay differential equationwhere p1,p2∊R and τ1, τ2, q, σ ∊ R +. We proved that every bounded solution of Eq. (1) oscillates if and only if its characteristic equation has no roots in (−∞, 0].