Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Ioannis P Stavroulakis"'
Autor:
Ioannis P. Stavroulakis
Publikováno v:
Axioms, Vol 13, Iss 6, p 407 (2024)
In this paper, a survey of the most interesting conditions for the oscillation of all solutions to first-order linear differential equations with a retarded argument is presented in chronological order, especially in the case when well-known oscillat
Externí odkaz:
https://doaj.org/article/83417d099d4b4711a2157ab54a74d161
Publikováno v:
Opuscula Mathematica, Vol 43, Iss 6, Pp 789-801 (2023)
A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non
Externí odkaz:
https://doaj.org/article/b2b40204feab4463b0c19e658373bfd1
Publikováno v:
Opuscula Mathematica, Vol 41, Iss 5, Pp 613-627 (2021)
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by l
Externí odkaz:
https://doaj.org/article/6ac28fc11ca9405c94a55c8c774e5618
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-9 (2020)
Abstract It is known that all solutions of the difference equation Δ x ( n ) + p ( n ) x ( n − k ) = 0 , n ≥ 0 , $$\Delta x(n)+p(n)x(n-k)=0, \quad n\geq0, $$ where { p ( n ) } n = 0 ∞ $\{p(n)\}_{n=0}^{\infty}$ is a nonnegative sequence of real
Externí odkaz:
https://doaj.org/article/2968dd5689fe4dcbba4878363fcc6b72
Publikováno v:
Opuscula Mathematica, Vol 39, Iss 4, Pp 483-495 (2019)
The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation \[\left(r(t)\left(y'(t)\right)^\gamma\right)'+q(t)y^\gamma(\tau(t))= 0, \quad t\geq t_0,\] under the condition \[\int
Externí odkaz:
https://doaj.org/article/3f56677f2ce24499986ddd6dc56d49f3
Publikováno v:
Mathematics, Vol 8, Iss 9, p 1492 (2020)
This paper deals with the oscillation of the first-order differential equation with several delay arguments x′t+∑i=1mpitxτit=0,t≥t0, where the functions pi,τi∈Ct0,∞,R+, for every i=1,2,…,m,τit≤t for t≥t0 and limt→∞τit=∞. In
Externí odkaz:
https://doaj.org/article/6b023eb68964402d93026c3f3a2227ae
Publikováno v:
Symmetry, Vol 12, Iss 5, p 718 (2020)
New sufficient criteria are obtained for the oscillation of a non-autonomous first order differential equation with non-monotone delays. Both recursive and lower-upper limit types criteria are given. The obtained results improve most recent published
Externí odkaz:
https://doaj.org/article/5660209a4b534791a98e018b3e72859a
Publikováno v:
Opuscula Mathematica, Vol 41, Iss 5, Pp 613-627 (2021)
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc817f36e950064a017bb7964216c5d5
https://www.opuscula.agh.edu.pl/vol41/5/art/opuscula_math_4129.pdf
https://www.opuscula.agh.edu.pl/vol41/5/art/opuscula_math_4129.pdf
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 206,, Pp 1-14 (2014)
In this article, we study the asymptotic behavior of strongly decreasing solutions of the first-order nonlinear functional differential equation $$ x'(t)+p(t)| x(g(t))| ^{\alpha -1}x(g(t))=0, $$ where $\alpha $ is a positive constant such that $
Externí odkaz:
https://doaj.org/article/93d2881e78a048ef9cbd60fa56dbb400
Publikováno v:
Electronic Journal of Differential Equations, Vol 2008, Iss 50, Pp 1-15 (2008)
A new criterion for the oscillation of the solutions to linear difference equations with variable delay is established. This criterion is based on a new fundamental lemma, which provides a useful inequality for the nonoscillatory solutions of the del
Externí odkaz:
https://doaj.org/article/a90f46657ac1477382a20d889d5b9905